Global stability of a delayed SIRI epidemic model with nonlinear incidence
type: Item
instance of: scholarly article
title: Global stability of a delayed SIRI epidemic model with nonlinear incidence
zbMATH Open document ID: 1466.34053
DOI: 10.1155/2014/487589
author: Amine Bernoussi
author: Abdelilah Kaddar
author: Saïd Asserda
published in: International Journal of Engineering Mathematics
publication date: 2018-08-06T00:00:00Z
review text: Summary: In this paper we propose the global dynamics of an SIRI epidemic model with latency and a general nonlinear incidence function. The model is based on the susceptible-infective-recovered (SIR) compartmental structure with relapse (SIRI). Sufficient conditions for the global stability of equilibria (the disease-free equilibrium and the endemic equilibrium) are obtained by means of Lyapunov-LaSalle theorem. Also some numerical simulations are given to illustrate this result.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6913836
Wikidata QID: Q59043791
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/487589
OpenAlex ID: W1979086014
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description: scientific article; zbMATH DE number 6913836