Global Stability of a Delayed SIRI Epidemic Model with Nonlinear Incidence-Reference-Cited by-同舟云学术

Global Stability of a Delayed SIRI Epidemic Model with Nonlinear Incidence

Published:2014-12-07 Issue: Volume:2014 Page:1-6
ISSN:2356-7007
Container-title:International Journal of Engineering Mathematics
language:en
Short-container-title:International Journal of Engineering Mathematics

Author:

Bernoussi Amine¹,Kaddar Abdelilah²^ORCID,Asserda Said¹

Affiliation:

1. Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Campus Universitaire, BP 133, 14000 Kénitra, Morocco

2. Département d’Economie et de Gestion, Faculté des Sciences Juridiques, Economiques et Sociales, Université Mohammed V-Souissi, Route Outa Hsaine, BP 5295, 11100 Sala Al Jadida, Morocco

Abstract

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.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/487589.pdf

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