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Browsing by Author "Caraballo Garrido, Tomás"
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Article
A 3D isothermal model for nematic liquid crystals 1 with delay terms
Caraballo Garrido, Tomás; Cavaterra, Cecilia (2022-08-01)In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. ...
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Article
A comparison between random and stochastic modeling for a SIR model
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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Article
A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
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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PhD Thesis
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
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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Article
A free boundary tumor model with time dependent nutritional supply
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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Article
A gradient-like non autonomous evolution process
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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Article
A mixed nonlinear time-fractional Rayleigh-Stokes equation
Au, Vo Van; Caraballo Garrido, Tomás (AIMS, 2022-07-01). This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a ...
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Article
A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov’s inequality
Caraballo Garrido, Tomás; Ezzine, Faten; Hammami, Mohamed Ali (Springer, 2022-09)The Lyapunov approach is one of the most effective and efficient methods for the inves tigation of the stability of ...
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Article
A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
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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Article
A qualitative description of microstructure formation and coarsening phenomena for an evolution equation
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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Chapter of Book
A random model for immune response to virus in fluctuating environments
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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Article
A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
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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Article
A stochastic SIRI epidemic model with Lévy noise
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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Article
A stochastic SIRI epidemic model with relapse and media coverage
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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Article
A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
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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Presentation
A survey on impulsive dynamical systems
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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Article
A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
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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Article
A way to model stochastic perturbations in population dynamics models with bounded realizations
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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Article
Addendum To "Global Attractors for Multivalued Random Dynamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
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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PhD Thesis
Algunos resultados de estabilidad de ecuaciones en derivadas parciales estocásticas con retardos
Caraballo Garrido, Tomás (1988)"En esta memoria presentamos una contribución al estudio de la estabilidad en la Ecuaciones en Derivadas Parciales ...