Uniform boundedness of the attractor in $H^2$ of a non-autonomous epidemiological system - Archive ouverte HAL Access content directly
Journal Articles Annali di Matematica Pura ed Applicata Year : 2018

Uniform boundedness of the attractor in $H^2$ of a non-autonomous epidemiological system

María Anguiano

Abstract

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 $H^2$.
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Dates and versions

hal-01425151 , version 1 (03-01-2017)
hal-01425151 , version 2 (21-11-2017)
hal-01425151 , version 3 (02-04-2018)

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María Anguiano. Uniform boundedness of the attractor in $H^2$ of a non-autonomous epidemiological system. Annali di Matematica Pura ed Applicata, 2018, 197, pp.1729-1737. ⟨10.1007/s10231-018-0745-9⟩. ⟨hal-01425151v3⟩

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