H2-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion. (January 2015)

• Record Type: Journal Article
• Authors: Anguiano, María
• Is Part Of: Nonlinear analysis. Volume 113(2015)
• Page Start: 180
• Page End: 189
• Publication Date: 2015-01
• Subjects: 35B41 -- 37B55; SIR epidemic model with diffusion -- Nonautonomous dynamical systems -- Pullback attractors -- Invariant sets -- H2-regularity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.10.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove some regularity results for the pullback attractor of a non-autonomous SIR model with diffusion in a bounded domain Ω of R d where d ≥ 1 . We show a regularity result for the unique solution of the problem. We establish a general result about H 2 ( Ω ) 3 -boundedness of invariant sets for the associate evolution process. Then, as a consequence, we deduce that the pullback attractor of the non-autonomous system of SIR equations with diffusion is bounded in H 2 ( Ω ) 3 .