Stability Analysis of SIQS Epidemic Model with Saturated Incidence Rate

Adebimpe, O. and Erinle-Ibrahim, L.M. and Adebisi, A.F. (2016) Stability Analysis of SIQS Epidemic Model with Saturated Incidence Rate. Applied Mathematics, 7. ISSN 1082-1086

[img] Text
AM_2016062215362968.pdf - Published Version
Download (423kB)
Official URL: http://www.scirp.org/journal/am

Abstract

A SIQS epidemic model with saturated incidence rate is studied. Two equilibrium points exist for the system, disease-free and endemic equilibrium. The stability of the disease-free equilibrium and endemic equilibrium exists when the basic reproduction number R0, is less or greater than unity respectively. The global stability of the disease-free and endemic equilibrium is proved using Lyapunov functions and Poincare-Bendixson theorem plus Dulac’s criterion respectively. Keywords SIQS Epidemic Model, Saturated Incidence Rate, Basic Reproduction Number, Lyapunov Function, Poincare-Bendixson, Dulac Criterion

Item Type: Article
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 02 Oct 2019 12:47
Last Modified: 02 Oct 2019 12:47
URI: https://eprints.lmu.edu.ng/id/eprint/2471

Actions (login required)

View Item View Item
Landmark University Repository is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.