Now showing items 1-20 of 43

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      A Lotka-Volterra symbiotic model with cross-diffusion  [Article]

      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 model with cross-diffusion. We use mainly bifurcation methods and a priori bounds to give sufficient ...
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      A non-local perturbation of the logistic equation in IR N  [Article]

      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 a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain ...
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      A nonlinear age-dependent model with spatial diffusion  [Article]

      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 equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related ...
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      A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity  [Article]

      Sobreira de Araujo Correa, Francisco Júlio; Delgado Delgado, Manuel; Suárez Fernández, Antonio (De Gruyter, 2011-05)
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      Age-dependent diffusive Lotka-Volterra type systems  [Article]

      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 non-local initial conditions. As application, we prove the existence and uniqueness of positive solution ...
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      Algunas aportaciones matemáticas al estudio del cáncer  [Article]

      Delgado Delgado, Manuel (Universidad de Almería, 2014)
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      Algunos modelos estacionarios de dinámica de poblaciones estructurados en edad con difusión  [Presentation]

      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 estructurado en edad con difusión. Primero describiremos un método de sub-supersolución para este ...
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      An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary  [Article]

      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. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. ...
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      An optimal control problem for a Kirchhoff-type equation  [Article]

      Delgado Delgado, Manuel; Malcher Figueiredo, Giovany de Jesus; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian (EDP Sciences, 2017)
      In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. ...
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      Analysis of an age-structured predator-prey model with disease in the prey  [Article]

      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 the death-rate and is assumed to have age structure. We assume that the predator population grows ...
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      Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio  [Article]

      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 método de subsupersolución y veremos que, efectivamente, bajo la hipótesis de la existencia de un par ...
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      Anti-angiogenic therapy based on the binding receptors  [Article]

      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 based on an agent that binds specific receptors of the endothelial cells. We study the time-dependent ...
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      Combining linear and nonlinear diffusion  [Article]

      Delgado Delgado, Manuel; López Gómez, Julián; Suárez Fernández, Antonio (De Gruyter, 2004-08)
      In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, is assumed to be linear, m = 1, on a piece of the support domain, Ω1, and slow nonlinear, m(x) > 1, ...
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      Cooperative systems with any number of species  [Article]

      Delgado Delgado, Manuel; Suárez Fernández, Antonio (Brown University, 2003-12)
      In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case of the slow diffusion and includes the Lotka-Volterra model. We determine conditions of existence of ...
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      El “Curso 0” en la Universidad de Sevilla  [Article]

      Delgado Delgado, Manuel (Sociedad Española de Matemática Aplicada, 2004-03)
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      Ecuaciones y sistemas en diferencias. aplicaciones de la dinámica de poblaciones  [Final Degree Work]

      Fernández Rodríguez, Javier (2018)
      Equations and systems in differences have acquired great relevance with the study and simulation of discrete models in the different disciplines that model and study the discrete systems. Equations in linear differences ...
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      Estudio del error en la interpolación polinómica  [Final Degree Work]

      Lobato López, Marta (2018-06-19)
      This dissertation provides a study of the error of Lagrange’s Polynomial Interpolation. It consists of seven chapters that include some topics of the Numerical Analysis. Firstly, we will have introduced a series of basic ...
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      Estudio teórico de un modelo simplificado sobre angiogénesis  [Presentation]

      Delgado Delgado, Manuel; Suárez Fernández, Antonio (2007-09)
      En esta comunicación presentamos un sistema en ecuaciones en derivadas parciales no lineales simplificado que modela un proceso básico en el crecimiento tumores: la angiogénesis. Presentamos resultados de existencia de ...
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      Existence of positive solution of a nonlocal logistic population model  [Article]

      Alves, Claudianor O.; Delgado Delgado, Manuel; Soares Souto, Marco Aurelio; 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.