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Antonio Suárez Fernández

Catedrático de Universidad
suarez@us.es
Área de conocimiento: Análisis Matemático
Departamento: Ecuaciones Diferenciales y Análisis Numérico
Grupo: EC.DIFERENCIALES,SIMULACION NUM.Y DESARROLLO SOFTWARE - FQM-131 (Universidad de Sevilla)
Instituto de Inv.: IMUS
Unidad de excelencia: Unidad de Excelencia de Investigación en Matemáticas (iMAT)
Prog. doctorado: MATEMÁTICAS

Investiga en

Tipo Año Título Fuente
Artículo2025 FORWARDS ATTRACTORS FOR NON-AUTONOMOUS LOTKA-VOLTERRA COOPERATIVE SYSTEMS: A DETAILED GEOMETRICAL DESCRIPTION DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Artículo2025 NONLOCAL DIFFUSION ELLIPTIC SYSTEM MODELLING THE BEHAVIOUR OF A BACTERIA AND A LIVING NUTRIENT DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Artículo2024 Generalized eigenvalue problem for an interface elliptic equation JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2024 Point-wise behavior of the explosive positive solutions to a degenerate elliptic BVP with an indefinite weight function JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2023 Fitting parameters and therapies of ODE tumor models with senescence and immune system. Journal of mathematical biology
Artículo2023 Some asymmetric semilinear elliptic interface problems JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2022 A Glioblastoma PDE-ODE model including chemotaxis and vasculature ESAIM: Mathematical Modelling and Numerical Analysis
Artículo2022 An intermediate local-nonlocal eigenvalue elliptic problem COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Artículo2022 The logistic equation with nonlinear advection term NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Artículo2022 The Lotka-Volterra models with non-local reaction terms COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Artículo2021 A logistic type equation in RN with a nonlocal reaction term via bifurcation method JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2021 Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method ARCHIV DER MATHEMATIK
Artículo2021 Positive solutions for a degenerate Kirchhoff problem PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Artículo2021 Theoretical analysis for a PDE–ODE system related to a glioblastoma tumor with vasculature ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Artículo2021 Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2020 Existence of positive solutions for prescribed mean curvature problems with nonlocal term via sub- and supersolution method MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Artículo2020 Existence results of positive solutions for Kirchhoff type equations via bifurcation methods MATHEMATISCHE ZEITSCHRIFT
Artículo2020 Non-local degenerate diffusion coefficients break down the components of positive solutions ADVANCED NONLINEAR STUDIES
Artículo2020 Non-standard bifurcation approach to nonlinear elliptic problems Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Artículo2020 On a chemotaxis model with competitive terms arising in angiogenesis DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Artículo2020 Some superlinear problems with nonlocal diffusion coefficient JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2020 Study of a class of generalized schrödinger equations TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Artículo2019 A non-local perturbation of the logistic equation in IR N NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2019 EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC EQUATION WITH LOCAL AND NONLOCAL VARIABLE DIFFUSION COEFFICIENT DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Artículo2019 Nonlocal problems arising from the birth-jump processes PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2019 Nonlocal singular elliptic system arising from the amoeba-bacteria population dynamics COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Artículo2019 Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2019 Unilateral global bifurcation for a class of quasilinear elliptic systems and applications JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2018 Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes null
Artículo2018 Coexistence states in a cross-diffusion system of a predator-prey model with predator satiation term MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Artículo2018 NONLOCAL ELLIPTIC SYSTEM ARISING FROM THE GROWTH OF CANCER STEM CELLS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Artículo2018 Some remarks on the comparison principle in Kirchhoff equations REVISTA MATEMATICA IBEROAMERICANA
Artículo2018 Structure of the set of positive solutions of a non-linear Schrodinger equation ISRAEL JOURNAL OF MATHEMATICS
Artículo2018 The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2017 A non-local non-autonomous diffusion problem: linear and sublinear cases ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Artículo2017 Architecture of attractor determines dynamics on mutualistic complex networks NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Artículo2017 Combining linear and fast diffusion in a nonlinear elliptic equation CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2017 Existence and uniqueness of solution for a nonhomogeneous nonlocal problem ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Artículo2017 Lotka-Volterra models with fractional diffusion PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2017 Refuge versus dispersion in the logistic equation JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2017 The sub-supersolution method for Kirchhoff systems: applications Progress in Nonlinear Differential Equations and Their Application
Artículo2016 A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Capítulo2016 Attracting Complex Networks COMPLEX NETWORKS AND DYNAMICS: SOCIAL AND ECONOMIC INTERACTIONS
Artículo2016 STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Capítulo2015 A Nonlinear Elliptic Problem WithNon-Local Boundary Condition XXIV Congress on Differential Equations and Applications (2015)
Artículo2015 Existence of positive solution of a nonlocal logistic population model ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Capítulo2015 Existence of positive solutions for nonlinear elliptic equations with a nonlocal diffusion coefficient XXIV Congress on Differential Equations and Applications (2015)
Capítulo2015 Existence of positive solutions for nonlinear elliptic singular systems with natural growth viasub-supersolution method XXIV Congress on Differential Equations and Applications (2015)
Artículo2015 Multiplicity results for an anisotropic equation with subcritical or critical growth ADVANCED NONLINEAR STUDIES
Artículo2015 Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Capítulo2015 Sub-supersolution method for elliptic systems with quadratic gradient lower order terms and singularities XXIV Congress on Differential Equations and Applications (2015)
Artículo2014 A symbiotic self-cross diffusion model ADVANCES IN DIFFERENTIAL EQUATIONS
Artículo2014 BIODIVERSITY AND VULNERABILITY IN A 3D MUTUALISTIC SYSTEM DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Artículo2014 SOME EIGENVALUE PROBLEMS WITH NON-LOCAL BOUNDARY CONDITIONS AND APPLICATIONS COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Artículo2014 Study of a nonlinear Kirchhoff equation with non-homogeneous material JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2013 Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2012 ANTI-ANGIOGENIC THERAPY BASED ON THE BINDING TO RECEPTORS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Artículo2012 Combining local and nonlocal terms in a nonlinear elliptic problem MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Artículo2011 A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity ADVANCED NONLINEAR STUDIES
Capítulo2011 Anti-angiogenic therapy targeting receptors: Model and Analysis I XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes
Capítulo2011 Estudio teórico de algunos modelos de terapias anti-angiogénicas XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes
Artículo2011 Some non-local problems with nonlinear diffusion MATHEMATICAL AND COMPUTER MODELLING
Artículo2011 Some nonlinear heterogeneous problems with nonlocal reaction term ADVANCES IN DIFFERENTIAL EQUATIONS
Artículo2010 An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2010 Existence of a positive solution for a singular system PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2010 On a parabolic-elliptic chemotactic model with coupled boundary conditions NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Artículo2010 On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2010 Some non-local population models with non-linear diffusion Revista Integracion
Artículo2010 The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model Boletín de la Sociedad Española de Matemática Aplicada
Artículo2009 A Lotka-Volterra symbiotic model with cross-diffusion JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2009 PERMANENCE AND ASYMPTOTICALLY STABLE COMPLETE TRAJECTORIES FOR NONAUTONOMOUS LOTKA-VOLTERRA MODELS WITH DIFFUSION SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2008 A logistic equation with degenerate diffusion and Robin boundary conditions COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Artículo2008 Nonlinear age-dependent diffusive equations: A bifurcation approach JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2008 Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary ANNALI DI MATEMATICA PURA ED APPLICATA
Artículo2008 Positive Solutions of a System Arising from Angiogenesis ADVANCED NONLINEAR STUDIES
Artículo2008 Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2007 Age-dependent diffusive Lotka-Volterra type systems MATHEMATICAL AND COMPUTER MODELLING
Artículo2007 Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system JOURNAL OF DIFFERENTIAL EQUATIONS
Capítulo2007 Estudio teórico de un modelo simplificado sobre angiogénesis XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas
Artículo2007 Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Artículo2007 Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Capítulo2007 Some elliptic problems with nonlinear boundary conditions Spectral theory and nonlinear analysis with applications to spatial ccology
Artículo2007 The competition between incoming and outgoing fluxes in an elliptic problem COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Artículo2007 The stability of attractors for non-autonomous perturbations of gradient-like systems JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2006 A nonlinear age-dependent model with spatial diffusion JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2006 Analysis of an age-structured predator-prey model with disease in the prey NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Artículo2006 Bifurcations in non-autonomous scalar equations JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2006 UNIQUENESS OF SOLUTION FOR ELLIPTIC PROBLEMS WITH NON-LINEAR BOUNDARY CONDITIONS Communications on Applied Nonlinear Analysis
Artículo2005 Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio Boletín de la Sociedad Española de Matemática Aplicada
Artículo2005 Bifurcation from zero of a complete trajectory for nonautonomous logistic PDES INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Artículo2005 On the uniqueness of positive solution of an elliptic equation Applied Mathematics Letters
Artículo2005 Relating disease and predation: equilibria of an epidemic model MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Artículo2005 The sub-supersolution method for an evolutionary reaction-diffusion age-dependent problem Differential And Integral Equations
Artículo2004 An eigenvalue problem for non-bounded quasi-linear operator PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Artículo2004 Combining fast, linear and slow diffusion TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Artículo2004 Combining linear and nonlinear diffusion ADVANCED NONLINEAR STUDIES
Artículo2004 Nonnegative solutions for a heterogeneous degenerate competition model ANZIAM JOURNAL
Artículo2004 On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Artículo2004 Singular boundary value problems of a porous media logistic equation Hiroshima Mathematical Journal
Capítulo2004 Some indefinite nonlinear eigenvalue problems The first 60 years of nonlinear analysis of Jean Mawhin
Libro2004 The first 60 years of nonlinear analysis of Jean Mawhin The first 60 years of nonlinear analysis of Jean Mawhin
Artículo2003 Cooperative systems with any number of species QUARTERLY OF APPLIED MATHEMATICS
Artículo2003 Existence and uniqueness of positive large solutions to some cooperative elliptic systems ADVANCED NONLINEAR STUDIES
Artículo2003 Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system NONLINEARITY
Artículo2003 Nonnegative solutions for the degenerate logistic indefinite sublinear equation NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2003 Positive solutions for the degenerate logistic indefinite superlinear problem: The slow diffusion case HOUSTON JOURNAL OF MATHEMATICS
Artículo2003 Pullback permanence in a non-autonomous competitive Lotka-Volterra model JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2003 Study of the optimal harvesting control and the optimality system for an elliptic problem SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Artículo2002 Characterizing the existence of large solutions for a class of sublinear problems with nonlinear diffusion ADVANCES IN DIFFERENTIAL EQUATIONS
Artículo2002 Non-linear versus linear diffusion from classical solutions to metasolutions ADVANCES IN DIFFERENTIAL EQUATIONS
Artículo2002 On the structure of the positive solutions of the logistic equation with nonlinear diffusion JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2002 Optimal control for the degenerate elliptic logistic equation APPLIED MATHEMATICS AND OPTIMIZATION
Artículo2002 Pullback permanence for non-autonomous partial differential equations ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2002 Stability and uniqueness for cooperative degenerate Lotka-Volterra model NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2002 Stability, instability, and bifurcation phenomena in non-autonomous differential equations NONLINEARITY
Ponencia2001 Sistemas cooperativos de tipo Volterra-Lotka con tres especies XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Artículo2000 Antihepatotoxic activity of Rosmarinus tomentosus in a model of acute hepatic damage induced by thioacetamide PHYTOTHERAPY RESEARCH
Artículo2000 EXISTENCE OF SOLUTIONS FOR ELLIPTIC SYSTEMS WITH HÖLDER CONTINUOUS NONLINEARITIES Differential And Integral Equations
Artículo2000 On the existence of dead cores for degenerate Lotka-Volterra models PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2000 On the symbiotic Lotka-Volterra model with diffusion and transport effects JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2000 Weak solutions for some quasilinear elliptic equations by the sub-supersolution method NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Ponencia1999 Núcleos muertos en modelos de competición con difusión no lineal XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: Actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999
Ponencia1998 Control de un sistema gobernado por la ecuación de convección-difusión XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997

Proyectos de Investigación

Fecha de inicio Fecha de fin Rol Denominación Agencia financiadora
01/09/2015 31/12/2017 Investigador/a Dinámica Fractal de la Consciencia: de la Teoría a la Implementación Clínica (MTM2014-61312-EXP) Ministerio de Economía y Competitividad (Nacional)
01/01/2013 31/12/2015 Responsable Sistemas de Edps con Difusión Cruzada. Aplicaciones a Terapias y Determinación de Parámetros. (MTM2012-31304) Ministerio de Economía y Competitividad (Nacional)
01/01/2021 31/05/2023 Responsable Diferentes perspectivas para modelos biomatemáticos: modelización, análisis y aproximación (US-1381261) Consejería de Economía, Conocimiento, Empresas y Universidad (Autonómico)
01/01/2016 31/07/2019 Responsable Problemas de Difusión, Reacción y Campo de Fases Aplicados a Modelos de Organismos Vivos (MTM2015-69875-P) Ministerio de Economía y Competitividad (Nacional)
01/01/2019 31/12/2022 Responsable Modelos Biológicos de Edps con Quimiotaxis y Efectos no Locales (PGC2018-098308-B-I00) Ministerio de Ciencia, Innovación y Universidades (Nacional)
01/03/2006 28/02/2009 Investigador/a Matemáticas para el crecimiento de tumores (EXC/2005/FQM-520) Junta de Andalucía (Plan Andaluz de Investigación) (Autonómico)
05/10/2021 31/12/2022 Investigador/a Complejidad y sistemas dinámicos: teoría matemática y aplicaciones a ecología y a la neurociencia de la consciencia (P20_00592) Consejería de Economía, Conocimiento, Empresas y Universidad (Autonómico)
01/01/2010 31/12/2012 Responsable Estudio teórico de sistemas de edps que modelan el movimiento celular (MTM2009-12367) Ministerio de Ciencia e Innovación (Nacional)
05/10/2021 31/12/2022 Investigador/a Nuevos retos en el estudio de procesos biológicos mediante ecuaciones en derivadas parciales (P20_01120) Consejería de Economía, Conocimiento, Empresas y Universidad (Autonómico)
01/10/2006 30/04/2011 Investigador/a Análisis y control de EDPs no lineales con origen en física y otras ciencias (MTM2006-07932) Ministerio de Educación y Ciencia (Nacional)
15/11/2003 15/11/2006 Investigador/a Análisis y control de EDPs nolineales con origen en física y otras ciencias (BFM2003-06446-C02-01) Ministerio de Ciencia y Tecnología (Nacional)

Contratos

Fecha de inicio Fecha de fin Rol Denominación Agencia financiadora
15/11/2014 30/08/2016 Investigador/a Bienestar Inmigrante y Justicia Social en Andalucía: Generación de un sistema dinámico multinivel (2367/0750) Fundación Centro de Estudios Andaluces (Desconocido)

Ayudas

Fecha de inicio Fecha de fin Rol Denominación Agencia financiadora
01/01/2003 30/12/2004 Investigador/a Análisis matemático y numérico de problemas en derivadas parciales no lineales (HF2002-0097) Ministerio de Ciencia y Tecnología (Nacional)
El investigador no tiene ningún resultado de investigación asociado