Lyapunov stability of an SIRS epidemic model with varying population

2018/12/27 by d'Onofrio, Alberto, Manfredi, Piero, Salinelli, Ernesto
#Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.1812.10676

Abstract

In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.

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