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

María Anguiano (1)

1 Universidad de Sevilla

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 $H^2$.

Mots clés: SIR epidemic model with diffusion; invariant sets; Uniform boundedness in $H^2$

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

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⟩