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arXiv · 1812.10676

Lyapunov stability of an SIRS epidemic model with varying population

Alberto d'Onofrio·Piero Manfredi·Ernesto Salinelli
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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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Alberto d'Onofrio, Piero Manfredi, Ernesto Salinelli. 2018-12-27. Lyapunov stability of an SIRS epidemic model with varying population. https://arxiv.org/abs/1812.10676

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