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

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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https://hal.archives-ouvertes.fr/hal-01425151
Contributor : María Anguiano <>
Submitted on : Monday, April 2, 2018 - 12:14:21 PM
Last modification on : Wednesday, May 16, 2018 - 1:05:34 AM

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• HAL Id : hal-01425151, version 3

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María Anguiano. Uniform boundedness of the attractor in $H^2$ of a non-autonomous epidemiological system. 2018. ⟨hal-01425151v3⟩

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