Uniform boundedness of the attractor in H2 of a non-autonomous epidemiological system
In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E. Kloeden, Asymptotic behavior of the nonautonomous SIR equations with diffusion, Communica...
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/79722 |
| Acesso em linha: | https://hdl.handle.net/11441/79722 https://doi.org/10.1007/s10231-018-0745-9 |
| Access Level: | acceso abierto |
| Palavra-chave: | SIR epidemic model with diffusion Invariant sets Uniform boundedness in H2 |
| Resumo: | In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E. Kloeden, Asymptotic behavior of the nonautonomous SIR equations with diffusion, Communications on Pure and Applied Analysis 13 No. 1 (2014) 157-173]. We prove two uniform boundedness of this pullback attractor, firstly in the norm H1 0, and later, under appropriate additional assumptions, in the norm H2. |
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