Browsing by Author "Caraballo Garrido, Tomás"
Now showing items 1-20 of 254
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Article
A comparison between random and stochastic modeling for a SIR model
(American Institute of Mathematical Sciences, 2017-01)In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and ...
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Article
A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
(2003)This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ...
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PhD Thesis
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
(2020-05-20)On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time ...
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Article
A free boundary tumor model with time dependent nutritional supply
(Elsevier, 2020-06)A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion ...
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Article
A gradient-like non autonomous evolution process
(2009)In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u ...
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Article
A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(2011)In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), ...
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Article
A qualitative description of microstructure formation and coarsening phenomena for an evolution equation
(Springer, 2017-04)We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ...
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Chapter of Book
A random model for immune response to virus in fluctuating environments
(Springer, 2016)In this work we study a model for virus dynamics with a random immune response and a random production rate of susceptible ...
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Article
A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
(2001)We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ...
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Article
A stochastic SIRI epidemic model with Lévy noise
(American Institute of Mathematical Sciences, 2018)Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not ...
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Article
A stochastic SIRI epidemic model with relapse and media coverage
(American Institute of Mathematical Sciences, 2018)This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic ...
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Article
A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
(AIMS Press, 2020-05-01)In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence. In particular, we propose a ...
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Presentation
A survey on impulsive dynamical systems
(Bolyai Institute (University of Szeged), 2016)In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous ...
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Article
A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(2015)In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics ...
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Article
A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019-10)In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy ...
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Article
Addendum To "Global Attractors for Multivalued Randomnamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
(2005)The aim of this note is to clarify a misleading statement which appeared in our fi rst paper dealing with the concept of global random attractor for multivalued random dynamical systems, as well as in the subsequent work
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PhD Thesis
Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos
(1988)"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ...
- PhD Thesis
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Article
Almost periodic and almost automorphic solutions of linear differential equations
(2010)We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous ...
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Article
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
(2009)The well-known Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with ...