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Browsing by Author "Caraballo Garrido, Tomás"
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A comparison between random and stochastic modeling for a SIR model [Article]
Caraballo Garrido, Tomás; Colucci, Renato (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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A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour [Article]
Caraballo Garrido, Tomás; Marín Rubio, Pedro; Robinson, James C. (2003)This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ...
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A contribution to the analysis of time fractional stochastic functional partial differential equations and applications [PhD Thesis]
Xu, Jiaohui (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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A free boundary tumor model with time dependent nutritional supply [Article]
Sun, Wenlong; Caraballo Garrido, Tomás; Han, Xiaoying; Kloeden, Peter E. (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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A gradient-like non autonomous evolution process [Article]
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Carvalho, Alexandre Nolasco (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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A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor [Article]
Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe (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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A qualitative description of microstructure formation and coarsening phenomena for an evolution equation [Article]
Caraballo Garrido, Tomás; Colucci, Renato (Springer, 2017-04)We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly ...
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A random model for immune response to virus in fluctuating environments [Chapter of Book]
Asai, Yusuke; Caraballo Garrido, Tomás; Han, Xiaoying; Kloeden, Peter E. (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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A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation [Article]
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (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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A stochastic SIRI epidemic model with Lévy noise [Article]
Berrhazi, Badr-eddine; El Fatini, Mohamed; Caraballo Garrido, Tomás; Pettersson, Roger (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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A stochastic SIRI epidemic model with relapse and media coverage [Article]
Caraballo Garrido, Tomás; El Fatini, Mohamed; Pettersson, Roger; Taki, Regragui (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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A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE [Article]
Caraballo Garrido, Tomás; El Fatini, Mohamed; Sekkak, Idriss; Taki, Regragui; Laaribi, Aziz (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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A survey on impulsive dynamical systems [Presentation]
Bonotto, Everaldo de Mello; Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Collegari, Rodolfo (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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A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions [Article]
Caraballo Garrido, Tomás; Xiaoying, Han (2015)In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics ...
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A way to model stochastic perturbations in population dynamics models with bounded realizations [Article]
Caraballo Garrido, Tomás; Colucci, Renato; López de la Cruz, Javier; Rapaport, Alain (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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Addendum To "Global Attractors for Multivalued Randomnamical Systems'' [Nonlinear Analysis 48(2002) 805-829] [Article]
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (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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Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos [PhD Thesis]
Caraballo Garrido, Tomás (1988)"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ...
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Algunos resultados de existencia, unicidad y estabilidad para EDP funcionales estocásticas no lineales [PhD Thesis]
Garrido Atienza, María José (2002) -
Almost periodic and almost automorphic solutions of linear differential equations [Article]
Caraballo Garrido, Tomás; Cheban, David (2010)We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous ...
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Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I [Article]
Caraballo Garrido, Tomás; Cheban, David (2009)The well-known Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with ...