Uniform boundedness of the attractor in $H^2$ 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 (2014). We prove two uniform bounds of this pullback attractor, firstly in the norm $H_0^1$, and later, unde...

Full description

Saved in:
Bibliographic Details
Published inAnnali di matematica pura ed applicata Vol. 197; pp. 1729 - 1737
Main Author Anguiano, María
Format Journal Article
LanguageEnglish
Published Springer Verlag 01.12.2018
Subjects
Analysis of PDEs
Functional Analysis
Mathematics
SIR epidemic model with diffusion
Uniform boundedness in $H^2
invariant sets
Online AccessGet full text

Cover

More Information
Summary: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 (2014). We prove two uniform bounds of this pullback attractor, firstly in the norm $H_0^1$, and later, under appropriate additional assumptions, in the norm $H^2$.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-018-0745-9