NameSuárez Fernández, Antonio
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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The Lotka-Volterra models with non-local reaction terms

Cintra da Silva, Willian; Cintra da Silva, Willian; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences (AIMS), 2022)
In this paper we consider a diffusive Lotka-Volterra system including nonlocal terms in the reaction functions. We analyze ...
Final Degree Project
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Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Gutiérrez de Alba, José David; Gutiérrez de Alba, José David (2022)
This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and ...
Master's Final Project
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Ecuaciones en Derivadas Parciales con difusión no local

Rodríguez Bellido, María Ángeles; Rodríguez Bellido, María Ángeles; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Benítez Berral, Inmaculada; Benítez Berral, Inmaculada (2022)
In the present work we make a theoretical study of Partial Differential Equations with non-local diffusion, paying major ...
Master's Final Project
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Estabilidad estructural y efectos indirectos en Ecología Matemática

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Gutiérres de Alba, José David; Gutiérres de Alba, José David (2022)
In population dynamics, structural stability measures the ability of an ecosystem to maintain biodiversity under perturbations ...
PhD Thesis
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Study of PDE-ODE Glioblastoma model with nonlinear diffusion and chemotaxis

Guillén González, Francisco Manuel; Guillén González, Francisco Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Fernández Romero, Antonio; Fernández Romero, Antonio (2021)
This thesis is dedicated to modeling and analyzing mathematically the development of Glioblastoma. Thanks to considering ...
Final Degree Project
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El teorema de Hartman-Grobman

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Hidalgo Plaza, Adrián; Hidalgo Plaza, Adrián (2020)
The stability theory of di erential equations studies variations in the solutions of Cauchy Problems under small perturbations ...
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A non-local perturbation of the logistic equation in IR N

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Rodrigues dos Santos Júnior, Joao; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2019)
A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish ...
Master's Final Project
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Dinámica de redes mutualistas en redes complejas: una aproximación desde las EDOS

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Miranda Calixto, Manuel; Miranda Calixto, Manuel (2019)
The aim of this project is to study generalized Lotka-Volterra systems applied in ecology. This work is divided in five ...
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Unilateral global bifurcation for a class of quasilinear elliptic systems and applications

Cintra da Silva, Willian; Cintra da Silva, Willian; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2019)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ...
PhD Thesis
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Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.

Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Figueiredo de Sousa, Tarcyana do Socorro; Figueiredo de Sousa, Tarcyana do Socorro (2018)
En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...
Final Degree Project
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Estudio y comparación de diversos modelos de depredador-presa

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Gálvez García, Miriam; Gálvez García, Miriam (2018)
In this work we study different population models of ordinary differential equations of one and two species, respectively. ...
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Nonlocal elliptic system arising from the growth of cancer stem cells

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Mendes Duarte, Ítalo Bruno; Mendes Duarte, Ítalo Bruno; Suárez Fernández, Antonio; Suárez Fernández, Antonio (AIMS, 2018)
In this work we show the existence of coexistence states for a nonlocal elliptic system arising from the growth of cancer ...
Final Degree Project
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Ecuaciones y sistemas en diferencias. aplicaciones de la dinámica de poblaciones

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Fernández Rodríguez, Javier; Fernández Rodríguez, Javier (2018)
Equations and systems in differences have acquired great relevance with the study and simulation of discrete models in the ...
Final Degree Project
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Estudio de algunos modelos en ecuaciones diferenciales relacionados con las terapias y las células madres

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Miranda Calixto, Manuel; Miranda Calixto, Manuel (2018)
The aim of this project is to analyze two models of ordinary differential equations with applications in medicine, ...
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Some remarks on the comparison principle in Kirchhoff equations

Malcher Figueiredo, Giovany de Jesus; Malcher Figueiredo, Giovany de Jesus; Suárez Fernández, Antonio; Suárez Fernández, Antonio (European Mathematical Society, 2018)
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type ...
PhD Thesis
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Dinámica de redes mutualistas en ecosistemas complejos

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Guerrero Suárez, Giovanny Fabián; Guerrero Suárez, Giovanny Fabián (2017)
El objetivo principal de este trabajo es el análisis matemático de sistemas de ecuaciones diferenciales que modelan redes ...
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Refuge versus dispersion in the logistic equation

Cintra da Silva, Willian; Cintra da Silva, Willian; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2017)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ...
Final Degree Project
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Desigualdades de Lyapunov para edos con diferentes condiciones de contorno

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Cayetano Alfaro, Vanesa; Cayetano Alfaro, Vanesa (2017)
The objective of this work is to study the definition and main properties of Lp Lyapunov constants, 1 ≤ p ≤ ∞, for scalar ...
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Lotka-Volterra models with fractional diffusion

Oliveira Alves, Michele de; Oliveira Alves, Michele de; Oliveira Pimenta, Marcos Tadeu de; Oliveira Pimenta, Marcos Tadeu de; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2017)
In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic ...
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Combining linear and fast diffusion in a nonlinear elliptic equation

Cintra da Silva, Willian; Cintra da Silva, Willian; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2017)
In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ...
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Study of a logistic equation with local and non-local reaction terms

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Malcher Figueiredo, Giovany de Jesus; Malcher Figueiredo, Giovany de Jesus; Oliveira Pimenta, Marcos Tadeu de; Oliveira Pimenta, Marcos Tadeu de; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2016)
In this work we examine a logistic equation with local and nonlocal reaction terms both for time dependent and steady-state ...
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A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications

Carmona Tapia, José; Carmona Tapia, José; Martínez Aparicio, Pedro Jesús; Martínez Aparicio, Pedro Jesús; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2016)
In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose ...
Final Degree Project
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Dinámica global de sistemas mutualistas

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Marín Gayte, Irene; Marín Gayte, Irene (2016)
This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical ...
Final Degree Project
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Ecuación de reacción-difusión. Existencia, unicidad y comportamiento asintótico

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; García Cortés, María; García Cortés, María (2016)
In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations ...
Chapter of Book
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Attracting complex networks

Commendatore, Pasquale; Commendatore, Pasquale; Matilla García, Mariano; Matilla García, Mariano; Varela Cabo, Luis Miguel; Varela Cabo, Luis Miguel; Cánovas Peña, José Salvador; Cánovas Peña, José Salvador; Guerrero Suárez, Giovanny Fabián; Guerrero Suárez, Giovanny Fabián; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2016)
Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually ...
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Multiplicity results for an anisotropic equation with subcritical or critical growth

Malcher Figueiredo, Giovany de Jesus; Malcher Figueiredo, Giovany de Jesus; Rodrigues dos Santos Júnior, Joao; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio; Suárez Fernández, Antonio (De Gruyter, 2015)
In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in ...
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Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions

Ramos Quoirín, Humberto; Ramos Quoirín, Humberto; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2015)
We consider a nonlinear eigenvalue problem with indefinite weight under Robin boundary condition. We prove the existence ...
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Existence of positive solution of a nonlocal logistic population model

Alves, Claudianor O.; Alves, Claudianor O.; Delgado Delgado, Manuel; Delgado Delgado, Manuel; Soares Souto, Marco Aurelio; Soares Souto, Marco Aurelio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2015)
In this paper, we study the existence of positive solutions for a class of nonlocal problem arising in population dynamic. Basically, we prove our results via bifurcation theory.
Chapter of Book
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The sub-supersolution method for Kirchhoff systems: applications

Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Ruf, Bernhard; Ruf, Bernhard; Moreira dos Santos, Ederson; Moreira dos Santos, Ederson; Gossez, Jean-Pierre; Gossez, Jean-Pierre; Monari Soares, Sergio Henrique; Monari Soares, Sergio Henrique; Cazenave, Thierry; Cazenave, Thierry; Malcher Figueiredo, Giovany de Jesus; Malcher Figueiredo, Giovany de Jesus; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2015)
In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
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Some eigenvalue problems with non-local boundary conditions and applications

Reis Abreu, Rafael dos; Reis Abreu, Rafael dos; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2014)
In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the ...
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Biodiversity and vulnerability in a 3D mutualistic system

Guerrero Suárez, Giovanny Fabián; Guerrero Suárez, Giovanny Fabián; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2014)
In this paper we study a three dimensional mutualistic model of two plants in competition and a pollinator with cooperative ...
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Study of a nonlinear Kirchhoff equation with non-homogeneous material

Malcher Figueiredo, Giovany de Jesus; Malcher Figueiredo, Giovany de Jesus; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Rodrigues dos Santos Júnior, Joao; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2014)
In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ...
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Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth

Carmona Tapia, José; Carmona Tapia, José; Martínez Aparicio, Pedro Jesús; Martínez Aparicio, Pedro Jesús; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2013)
In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic ...
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Anti-angiogenic therapy based on the binding receptors

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2012)
This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...
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Combining local and non-local terms in a nonlinear elliptic problem

Sobreira de Araujo Correa, Francisco Júlio; Sobreira de Araujo Correa, Francisco Júlio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Wiley, 2012)
In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic ...
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A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity

Sobreira de Araujo Correa, Francisco Júlio; Sobreira de Araujo Correa, Francisco Júlio; Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (De Gruyter, 2011)
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Some non-local population models with non-linear diffusion

Sobreira de Araujo Correa, Francisco Júlio; Sobreira de Araujo Correa, Francisco Júlio; Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2011)
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
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On a parabolic-elliptic chemotactic model with coupled boundary conditions

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Tello del Castillo, José Ignacio; Tello del Castillo, José Ignacio (Elsevier, 2010)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ...
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On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rodríguez Bernal, Aníbal; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2010)
In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to ...
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Existence of a positive solution for a singular system

Da Silva Montenegro, Marcelo; Da Silva Montenegro, Marcelo; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2010)
We show the existence and nonexistence of positive solutions to a system of singular elliptic equations with Dirichlet ...
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The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Rodríguez Bernal, Aníbal; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Sociedad Española de Matemática Aplicada, 2010)
In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. ...
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An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Gayte Delgado, María Inmaculada; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2010)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...
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A Lotka-Volterra symbiotic model with cross-diffusion

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Da Silva Montenegro, Marcelo; Da Silva Montenegro, Marcelo; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2009)
The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic ...
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Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Rodríguez Bernal, Aníbal; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Society for Industrial and Applied Mathematics, 2009)
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis ...
PhD Thesis
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Ecuaciones en derivadas parciales con condiciones de contorno no lineales aplicaciones a la dinámica de tumores

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian (2009)
Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ...
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Positive solutions of a system arising from angiogenesis

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (De Gruyter, 2008)
We study a system of equations arising from angiogenesis which contains a nonregular term that vanishes below a certain ...
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A logistic equation with degenerate diffusion and Robin boundary condition

Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2008)
In this paper we study a model for a species confined in a bounded region. This species diffuses slowly, follows a logistic ...
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Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary

García Melián, Jorge José; García Melián, Jorge José; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Rossi Pérez, Julio Daniel; Rossi Pérez, Julio Daniel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2008)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ...
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Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2008)
The main goal of this paper is to study a stationary problem arising from angiogenesis, including terms of chemotaxis and ...
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Nonlinear age-dependent diffusive equations: a bifurcation approach

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2008)
The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent ...
Presentation
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Estudio teórico de un modelo simplificado sobre angiogénesis

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (2007)
En esta comunicación presentamos un sistema en ecuaciones en derivadas parciales no lineales simplificado que modela un ...
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Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term

Ruiz Aguilar, David; Ruiz Aguilar, David; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2007)
The main goal of this work is to study the existence and uniqueness of positive solution of a logistic equation including ...
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Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system

Carvalho, Alexandre Nolasco; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2007)
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations ...
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The stability of attractors for non-autonomous perturbations of gradient-like systems

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Vidal López, Alejandro; Vidal López, Alejandro (Elsevier, 2007)
We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general ...
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Age-dependent diffusive Lotka-Volterra type systems

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2007)
In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with ...
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Study of the optimal harvesting control for an elliptic problem with slow diffusion

Suárez Fernández, Antonio; Suárez Fernández, Antonio (Sociedade Brasileira de Matemática, 2007)
In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic ...
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Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Rodríguez Bernal, Aníbal; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Vidal López, Alejandro; Vidal López, Alejandro (American Institute of Mathematical Sciences, 2007)
The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ...
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The competition between incoming and outgoing fluxes in an elliptic problem

García Melián, Jorge José; García Melián, Jorge José; Rossi Pérez, Julio Daniel; Rossi Pérez, Julio Daniel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (World Scientific, 2007)
In this work we consider existence and uniqueness of positive solutions to the elliptic equation −∆u = λu in Ω, with the ...
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Analysis of an age-structured predator-prey model with disease in the prey

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2006)
We study a nonlinear predator-prey model in which the prey population is affected by a mild disease, but has an effect on ...
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Uniqueness of solution for elliptic problems with non-linear boundary conditions

Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (International Publications, 2006)
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions.
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Bifurcations in non-autonomous scalar equations

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2006)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, ...
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A nonlinear age-dependent model with spatial diffusion

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2006)
The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent ...
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On the uniqueness of positive solution of an elliptic equation

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2005)
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific ...
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Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (World Scientific Publishing, 2005)
In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut ...
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Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Sociedad Española de Matemática Aplicada, 2005)
En este trabajo estudiamos modelos de la dinámica de poblaciones estructurados en edad con difusión. Construiremos un ...
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Relating disease and predation: equilibria of an epidemic model

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Wiley, 2005)
In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator ...
Chapter of Book
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Some elliptic problems with nonlinear boundary conditions

Cano Casanova, Santiago; Cano Casanova, Santiago; López Gómez, Julián; López Gómez, Julián; Mora Corral, Carlos; Mora Corral, Carlos; Morales Rodrigo, Cristian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Suárez Fernández, Antonio (World Scientific, 2005)
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions.
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Nonnegative solutions for a heterogeneous degenerate competition model

Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2004)
This paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a ...
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Combining linear and nonlinear diffusion

Delgado Delgado, Manuel; Delgado Delgado, Manuel; López Gómez, Julián; López Gómez, Julián; Suárez Fernández, Antonio; Suárez Fernández, Antonio (De Gruyter, 2004)
In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, ...
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On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (American Mathematical Society, 2004)
This paper concerns with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite ...
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An eigenvalue problem for non-bounded quasi-linear operator

Carmona Tapia, José; Carmona Tapia, José; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2004)
In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a ...
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Algunos modelos estacionarios de dinámica de poblaciones estructurados en edad con difusión

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica; Suárez Fernández, Antonio; Suárez Fernández, Antonio (2004)
En este trabajo, daremos algunos resultados de existencia y unicidad de solución para un problema de dinámica de poblaciones ...
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Singular boundary value problems of a porous media logistic equation

López Gómez, Julián; López Gómez, Julián; Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (2004)
Chapter of Book
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Some indefinite nonlinear eigenvalue problems

Delgado Delgado, Manuel; Delgado Delgado, Manuel; López Gómez, Julián; López Gómez, Julián; Ortega Ríos, Rafael; Ortega Ríos, Rafael; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (World Scientific, 2004)
In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight ...
PhD Thesis
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Análisis de algunos modelos de dinámica de poblaciones estructurados en edad con y sin difusión / Memoria para optar al grado de Doctor en Matemáticas

Suárez Fernández, Antonio; Suárez Fernández, Antonio; Delgado Delgado, Manuel; Delgado Delgado, Manuel; Molina Becerra, Mónica; Molina Becerra, Mónica (2004)
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Combining fast, linear and slow diffusion

López Gómez. Julián; López Gómez. Julián; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Juliusz Schauder Center for Nonlinear Studies, 2004)
Although the pioneering studies of G. I. Barenblatt ([8] G. I. Barenblatt, On some unsteady motions of a liquid or a gas ...
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Cooperative systems with any number of species

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Brown University, 2003)
In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case ...
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Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (IOPscience, 2003)
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In ...
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Existence and uniqueness of positive large solutions to some cooperative elliptic systems

García Melián, Jorge José; García Melián, Jorge José; Suárez Fernández, Antonio; Suárez Fernández, Antonio (De Gruyter, 2003)
In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 ...
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Pullback permanence in a non-autonomous competitive Lotka-Volterra model

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2003)
The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both ...
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Study of the optimal harvesting control and the optimality system for an elliptic problem

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Montero Sánchez, Juan Aurelio; Montero Sánchez, Juan Aurelio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Society for Industrial and Applied Mathematics, 2003)
An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state ...
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Nonnegative solutions for the degenerate logistic indefinite sublinear equation

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2003)
The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear ...
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Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (University of Houston, 2003)
In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate ...
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Stability and uniqueness for cooperative degenerate Lotka-Volterra model

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2002)
In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra ...
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Optimal control for the degenerate elliptic logistic equation

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Montero Sánchez, Juan Aurelio; Montero Sánchez, Juan Aurelio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Springer, 2002)
We consider the optimal control of the harvesting of the diffusive degenerate elliptic logistic equation. Under certain ...
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Stability, instability, and bifurcation phenomena in non-autonomous differential equations

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Robinson, James C.; Robinson, James C.; Suárez Fernández, Antonio; Suárez Fernández, Antonio (IOPscience, 2002)
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential ...
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On the structure of the positive solutions of the logistic equation with nonlinear diffusion

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2002)
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Algunos modelos de la dinámica de poblaciones

Suárez Fernández, Antonio; Suárez Fernández, Antonio (Sociedad Española de Matemática Aplicada, 2002)
En este trabajo presentamos el estudio teórico de algunos modelos de ecuaciones en derivadas parciales que aparecen en la modelización de la dinámica de poblaciones
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Pullback permanence for non-autonomous partial differential equations

Langa Rosado, José Antonio; Langa Rosado, José Antonio; Suárez Fernández, Antonio; Suárez Fernández, Antonio (2002)
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On the existence of dead cores for degenerate Lotka-Volterra models

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Cambridge University Press, 2000)
In this work we study the existence, uniqueness and qualitative properties of nonnegative solutions of the Lotka-Volterra ...
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On the symbiotic Lotka–Volterra model with diffusion and transport effects

Delgado Delgado, Manuel; Delgado Delgado, Manuel; López Gómez, Julián; López Gómez, Julián; Suárez Fernández, Antonio; Suárez Fernández, Antonio (Elsevier, 2000)
In this work we analyze the existence, stability and multiplicity of coexistence states for a symbiotic Lotka-Volterra ...
PhD Thesis
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Propiedades de las soluciones de sistemas estacionarios de la dinámica de poblaciones con difusión lineal y no lineal

Delgado Delgado, Manuel; Delgado Delgado, Manuel; Suárez Fernández, Antonio; Suárez Fernández, Antonio (1999)
En esta Memoria se estudian algunas de las propiedades de las soluciones de ciertas Ecuaciones en Derivadas Parciales no ...