Stability Analysis of a SEIV Epidemic Model with Saturated Incidence Rate
Journal of Advances in Mathematics and Computer Science · pp. 3358–3368 · Published 1 Oct 2013
10.9734/BJMCS/2014/2758Abstract
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.
Cited by 2
O. Adebimpe, O. Abiodun, O. Oludoun · 2020 International Conference in Mathematics, Computer Engineering and Computer Science (ICMCECS) · 2020
A. Ogunsola, Olukayode Adebimpe, B. Popoola · 2014
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