Lyapunov stability of an SIRS epidemic model with varying population

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 conditio...

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Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: d'Onofrio, Alberto, Manfredi, Piero, Salinelli, Ernesto
Format: Article
Language:English
Subjects:
Epidemics
Liapunov functions
Stability
Online Access:Get full text
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Summary: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.
ISSN:2331-8422