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Browsing by Author "Suárez Fernández, Antonio"
Now showing items 1-20 of 94
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Article
A logistic equation with degenerate diffusion and Robin boundary condition
Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2008-09)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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Article
A Lotka-Volterra symbiotic model with cross-diffusion
Delgado Delgado, Manuel; Da Silva Montenegro, Marcelo; Suárez Fernández, Antonio (Elsevier, 2009-03-01)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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Article
A non-local perturbation of the logistic equation in IR N
Delgado Delgado, Manuel; Molina Becerra, Mónica; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio (Elsevier, 2019-10)A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish ...
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Article
A nonlinear age-dependent model with spatial diffusion
Delgado Delgado, Manuel; Molina Becerra, Mónica; Suárez Fernández, Antonio (Elsevier, 2006-01-01)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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Article
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
Carmona Tapia, José; Martínez Aparicio, Pedro Jesús; Suárez Fernández, Antonio (Elsevier, 2016-02)In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose ...
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Article
A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity
Sobreira de Araujo Correa, Francisco Júlio; Delgado Delgado, Manuel; Suárez Fernández, Antonio (De Gruyter, 2011-05) -
Article
Age-dependent diffusive Lotka-Volterra type systems
Delgado Delgado, Manuel; Suárez Fernández, Antonio (Elsevier, 2007-03)In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with ...
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Article
Algunos modelos de la dinámica de poblaciones
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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Presentation
Algunos modelos estacionarios de dinámica de poblaciones estructurados en edad con difusión
Delgado Delgado, Manuel; Molina Becerra, Mónica; 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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Article
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
Delgado Delgado, Manuel; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2010-01-01)In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...
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Article
An eigenvalue problem for non-bounded quasi-linear operator
Carmona Tapia, José; Suárez Fernández, Antonio (Cambridge University Press, 2004-06)In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a ...
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Final Degree Project
Analysis and simulation of some ODE and PDE models used in neuroscience
Barea Moreno, Alejandro (2023) -
Article
Analysis of an age-structured predator-prey model with disease in the prey
Delgado Delgado, Manuel; Molina Becerra, Mónica; Suárez Fernández, Antonio (Elsevier, 2006-09)We study a nonlinear predator-prey model in which the prey population is affected by a mild disease, but has an effect on ...
- PhD Thesis
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Article
Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio
Delgado Delgado, Manuel; Molina Becerra, Mónica; 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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Article
Anti-angiogenic therapy based on the binding receptors
Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2012-11)This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...
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Chapter of Book
Attracting complex networks
Guerrero Suárez, Giovanny Fabián; Langa Rosado, José 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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Article
Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (World Scientific Publishing, 2005-08)In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous ...
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Article
Bifurcations in non-autonomous scalar equations
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (Elsevier, 2006-02)In a previous paper we introduced various definitions of stability and instability for non-autonomous differential ...
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Article
Biodiversity and vulnerability in a 3D mutualistic system
Guerrero Suárez, Giovanny Fabián; Langa Rosado, José Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2014-10)In this paper we study a three dimensional mutualistic model of two plants in competition and a pollinator with cooperative ...