Lyapunov stability of an SIRS epidemic model with varying population
Dynamical Systems
2018-12-31 v1 Populations and Evolution
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.
Keywords
Cite
@article{arxiv.1812.10676,
title = {Lyapunov stability of an SIRS epidemic model with varying population},
author = {Alberto d'Onofrio and Piero Manfredi and Ernesto Salinelli},
journal= {arXiv preprint arXiv:1812.10676},
year = {2018}
}
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7 pages