Abstract
AbstractWe consider a SIR-like reaction-diffusion epidemic model which embeds opinion-driven human behavioural changes. We assume that the contagion rate is theoretically saturated with respect to the density of the disease prevalence. The model extends the general reaction-diffusion epidemic model proposed in 1993 by Capasso and Di Liddo. We study the nonlinear attractivity of the endemic steady state solution by employing a special Lyapunov function introduced in 2006 by S. Rionero. Sufficient conditions for the conditional nonlinear stability of the endemic equilibrium are derived.
Funder
European Union - Ministero dell’università e della ricerca
Ministero dell’Università e della Ricerca
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
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