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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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Submitted on : Monday, April 2, 2018 - 12:14:21 PM
Last modification on : Saturday, June 19, 2021 - 12:53:59 PM

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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, Springer Verlag, 2018. ⟨hal-01425151v3⟩

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