Stability Analysis of a SEIV Epidemic Model with Saturated Incidence Rate

Adebimpe, O. (2014) Stability Analysis of a SEIV Epidemic Model with Saturated Incidence Rate. Journal of Advances in Mathematics and Computer Science, 4 (23). pp. 3358-3368.

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Abstract

In this paper, a SEIV epidemic model with saturated incidence rate that incorporates polynomial information on current and past states of the disease is investigated. The model exhibits two equilibria, disease-free equilibrium (DFE) and the endemic equilibrium (EE). It is shown that if the basic reproduction number, R0< 1, the DFE is locally asymptotically stable and by the use of Lyapunov function, DFE is globally asymptotically stable and in such a case, the EE is unstable. Moreover, if R0>1, the endemic equilibrium is locally asymptotically stable. The effects of the rate at which vaccine wanes (ω ) are investigated through numerical stimulations. Keywords: SEIV epidemic model, saturated incidence rate, basic reproduction number, locally and globally stable

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 13:35
Last Modified:	02 Oct 2019 13:35
URI:	https://eprints.lmu.edu.ng/id/eprint/2474

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