Perfil del autor: Suárez Fernández, Antonio
Datos institucionales
Nombre | Suárez Fernández, Antonio |
Departamento | Ecuaciones Diferenciales y Análisis Numérico |
Área de conocimiento | Análisis Matemático |
Categoría profesional | Catedrático de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
93
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Nº visitas
14941
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Nº descargas
36756
Publicaciones |
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Trabajo Fin de Grado |
Artículo
The Lotka-Volterra models with non-local reaction terms
(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 ... |
Trabajo Fin de Grado
Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra
(2022)
This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and ... |
Trabajo Fin de Máster
Ecuaciones en Derivadas Parciales con difusión no local
(2022)
In the present work we make a theoretical study of Partial Differential Equations with non-local diffusion, paying major ... |
Trabajo Fin de Máster
Estabilidad estructural y efectos indirectos en Ecología Matemática
(2022)
In population dynamics, structural stability measures the ability of an ecosystem to maintain biodiversity under perturbations ... |
Tesis Doctoral
Study of PDE-ODE Glioblastoma model with nonlinear diffusion and chemotaxis
(2021)
This thesis is dedicated to modeling and analyzing mathematically the development of Glioblastoma. Thanks to considering ... |
Trabajo Fin de Grado
El teorema de Hartman-Grobman
(2020)
The stability theory of di erential equations studies variations in the solutions of Cauchy Problems under small perturbations ... |
Artículo
A non-local perturbation of the logistic equation in IR N
(Elsevier, 2019)
A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish ... |
Trabajo Fin de Máster
Dinámica de redes mutualistas en redes complejas: una aproximación desde las EDOS
(2019)
The aim of this project is to study generalized Lotka-Volterra systems applied in ecology. This work is divided in five ... |
Artículo
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
(Elsevier, 2019)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ... |
Tesis Doctoral
Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.
(2018)
En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ... |
Trabajo Fin de Grado
Estudio y comparación de diversos modelos de depredador-presa
(2018)
In this work we study different population models of ordinary differential equations of one and two species, respectively. ... |
Artículo
Nonlocal elliptic system arising from the growth of cancer stem cells
(AIMS, 2018)
In this work we show the existence of coexistence states for a nonlocal elliptic system arising from the growth of cancer ... |
Trabajo Fin de Grado
Estudio de algunos modelos en ecuaciones diferenciales relacionados con las terapias y las células madres
(2018)
The aim of this project is to analyze two models of ordinary differential equations with applications in medicine, ... |
Trabajo Fin de Grado
Ecuaciones y sistemas en diferencias. aplicaciones de la dinámica de poblaciones
(2018)
Equations and systems in differences have acquired great relevance with the study and simulation of discrete models in the ... |
Artículo
Some remarks on the comparison principle in Kirchhoff equations
(European Mathematical Society, 2018)
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type ... |
Tesis Doctoral
Dinámica de redes mutualistas en ecosistemas complejos
(2017)
El objetivo principal de este trabajo es el análisis matemático de sistemas de ecuaciones diferenciales que modelan redes ... |
Artículo
Refuge versus dispersion in the logistic equation
(Elsevier, 2017)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ... |
Artículo
Lotka-Volterra models with fractional diffusion
(Cambridge University Press, 2017)
In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic ... |
Trabajo Fin de Grado
Desigualdades de Lyapunov para edos con diferentes condiciones de contorno
(2017)
The objective of this work is to study the definition and main properties of Lp Lyapunov constants, 1 ≤ p ≤ ∞, for scalar ... |
Artículo
Combining linear and fast diffusion in a nonlinear elliptic equation
(Springer, 2017)
In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ... |
Artículo
Study of a logistic equation with local and non-local reaction terms
(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 ... |
Artículo
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
(Elsevier, 2016)
In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose ... |
Trabajo Fin de Grado
Ecuación de reacción-difusión. Existencia, unicidad y comportamiento asintótico
(2016)
In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations ... |
Trabajo Fin de Grado
Dinámica global de sistemas mutualistas
(2016)
This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical ... |
Capítulo de Libro
Attracting complex networks
(Springer, 2016)
Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually ... |
Artículo
Multiplicity results for an anisotropic equation with subcritical or critical growth
(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 ... |
Artículo
Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions
(Elsevier, 2015)
We consider a nonlinear eigenvalue problem with indefinite weight under Robin boundary condition. We prove the existence ... |
Artículo
Existence of positive solution of a nonlocal logistic population model
(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. |
Capítulo de Libro
The sub-supersolution method for Kirchhoff systems: applications
(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. |
Artículo
Some eigenvalue problems with non-local boundary conditions and applications
(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 ... |
Artículo
Biodiversity and vulnerability in a 3D mutualistic system
(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 ... |
Artículo
Study of a nonlinear Kirchhoff equation with non-homogeneous material
(Elsevier, 2014)
In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ... |
Artículo
Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth
(Elsevier, 2013)
In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic ... |
Artículo
Anti-angiogenic therapy based on the binding receptors
(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 ... |
Artículo
Combining local and non-local terms in a nonlinear elliptic problem
(Wiley, 2012)
In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic ... |
Artículo |
Artículo
Some non-local population models with non-linear diffusion
(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. |
Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ... |
Artículo
On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method
(Elsevier, 2010)
In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to ... |
Artículo
Existence of a positive solution for a singular system
(Cambridge University Press, 2010)
We show the existence and nonexistence of positive solutions to a system of singular elliptic equations with Dirichlet ... |
Artículo
The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model
(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. ... |
Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
(Elsevier, 2010)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ... |
Artículo
A Lotka-Volterra symbiotic model with cross-diffusion
(Elsevier, 2009)
The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic ... |
Artículo
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion
(Society for Industrial and Applied Mathematics, 2009)
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis ... |
Tesis Doctoral
Ecuaciones en derivadas parciales con condiciones de contorno no lineales aplicaciones a la dinámica de tumores
(2009)
Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ... |
Artículo
Positive solutions of a system arising from angiogenesis
(De Gruyter, 2008)
We study a system of equations arising from angiogenesis which contains a nonregular term that vanishes below a certain ... |
Artículo
A logistic equation with degenerate diffusion and Robin boundary condition
(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 ... |
Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
(Springer, 2008)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ... |
Artículo
Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary
(Elsevier, 2008)
The main goal of this paper is to study a stationary problem arising from angiogenesis, including terms of chemotaxis and ... |
Artículo
Nonlinear age-dependent diffusive equations: a bifurcation approach
(Elsevier, 2008)
The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent ... |
Ponencia
Estudio teórico de un modelo simplificado sobre angiogénesis
(2007)
En esta comunicación presentamos un sistema en ecuaciones en derivadas parciales no lineales simplificado que modela un ... |
Artículo
Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term
(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 ... |
Artículo
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
(Elsevier, 2007)
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations ... |
Artículo
The stability of attractors for non-autonomous perturbations of gradient-like systems
(Elsevier, 2007)
We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general ... |
Artículo
Age-dependent diffusive Lotka-Volterra type systems
(Elsevier, 2007)
In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with ... |
Artículo
Study of the optimal harvesting control for an elliptic problem with slow diffusion
(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 ... |
Artículo
Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations
(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 − ... |
Artículo
The competition between incoming and outgoing fluxes in an elliptic problem
(World Scientific, 2007)
In this work we consider existence and uniqueness of positive solutions to the elliptic equation −∆u = λu in Ω, with the ... |
Artículo
Analysis of an age-structured predator-prey model with disease in the prey
(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 ... |
Artículo
Uniqueness of solution for elliptic problems with non-linear boundary conditions
(International Publications, 2006)
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions. |
Artículo
Bifurcations in non-autonomous scalar equations
(Elsevier, 2006)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, ... |
Artículo
A nonlinear age-dependent model with spatial diffusion
(Elsevier, 2006)
The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent ... |
Artículo
On the uniqueness of positive solution of an elliptic equation
(Elsevier, 2005)
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific ... |
Artículo
Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs
(World Scientific Publishing, 2005)
In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut ... |
Artículo
Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio
(Sociedad Española de Matemática Aplicada, 2005)
En este trabajo estudiamos modelos de la dinámica de poblaciones estructurados en edad con difusión. Construiremos un ... |
Artículo
Relating disease and predation: equilibria of an epidemic model
(Wiley, 2005)
In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator ... |
Capítulo de Libro
Some elliptic problems with nonlinear boundary conditions
(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. |
Artículo
Nonnegative solutions for a heterogeneous degenerate competition model
(Cambridge University Press, 2004)
This paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a ... |
Artículo
Combining linear and nonlinear diffusion
(De Gruyter, 2004)
In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, ... |
Artículo
On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem
(American Mathematical Society, 2004)
This paper concerns with the existence, uniqueness and/or multiplicity, and stability of positive solutions of an indefinite ... |
Artículo
An eigenvalue problem for non-bounded quasi-linear operator
(Cambridge University Press, 2004)
In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a ... |
Tesis Doctoral |
Capítulo de Libro
Some indefinite nonlinear eigenvalue problems
(World Scientific, 2004)
In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight ... |
Ponencia
Algunos modelos estacionarios de dinámica de poblaciones estructurados en edad con difusión
(2004)
En este trabajo, daremos algunos resultados de existencia y unicidad de solución para un problema de dinámica de poblaciones ... |
Artículo |
Artículo
Combining fast, linear and slow diffusion
(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 ... |
Artículo
Cooperative systems with any number of species
(Brown University, 2003)
In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case ... |
Artículo
Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
(IOPscience, 2003)
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In ... |
Artículo
Existence and uniqueness of positive large solutions to some cooperative elliptic systems
(De Gruyter, 2003)
In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 ... |
Artículo
Pullback permanence in a non-autonomous competitive Lotka-Volterra model
(Elsevier, 2003)
The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both ... |
Artículo
Study of the optimal harvesting control and the optimality system for an elliptic problem
(Society for Industrial and Applied Mathematics, 2003)
An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state ... |
Artículo
Nonnegative solutions for the degenerate logistic indefinite sublinear equation
(Elsevier, 2003)
The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear ... |
Artículo
Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case
(University of Houston, 2003)
In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate ... |
Artículo
Stability and uniqueness for cooperative degenerate Lotka-Volterra model
(Elsevier, 2002)
In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra ... |
Artículo
Optimal control for the degenerate elliptic logistic equation
(Springer, 2002)
We consider the optimal control of the harvesting of the diffusive degenerate elliptic logistic equation. Under certain ... |
Artículo
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
(IOPscience, 2002)
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential ... |
Artículo |
Artículo
Algunos modelos de la dinámica de poblaciones
(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 |
Artículo |
Artículo
On the existence of dead cores for degenerate Lotka-Volterra models
(Cambridge University Press, 2000)
In this work we study the existence, uniqueness and qualitative properties of nonnegative solutions of the Lotka-Volterra ... |
Artículo
On the symbiotic Lotka–Volterra model with diffusion and transport effects
(Elsevier, 2000)
In this work we analyze the existence, stability and multiplicity of coexistence states for a symbiotic Lotka-Volterra ... |
Tesis Doctoral
Propiedades de las soluciones de sistemas estacionarios de la dinámica de poblaciones con difusión lineal y no lineal
(1999)
En esta Memoria se estudian algunas de las propiedades de las soluciones de ciertas Ecuaciones en Derivadas Parciales no ... |