Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate

Khan, M.A. and Ali, Z. and Dennis, L.C.C. and Khan, I. and Islam, S. and Ullah, M. and Gul, T. (2015) Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate. Applied Mathematical Sciences, 9 (21-24). pp. 1145-1158. ISSN 1312885X

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Abstract

In this paper, we present an SVIR epidemic model with non-linear saturated incidence rate. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The stability of the disease free and endemic equilibrium exists when the basic reproduction less or greater than unity, respectively. If the value of R0, less then one then the disease free equilibrium is locally as well as globally asymptotically stable, and if its exceeds, the endemic equilibrium is stable both locally and globally. The numerical results are presented for illustration. © 2014 Muhammad Altaf Khan et al.

Item Type: Article
Additional Information: cited By 4
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 16:18
Last Modified: 09 Nov 2023 16:18
URI: https://khub.utp.edu.my/scholars/id/eprint/6331

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