Time delay and nonlinear incidence effects on the stochastic SIRC epidemic model

This paper presents theoretical and numerical study of a stochastic SIRC epidemic model with time delay and nonlinear incidence. The existence and uniqueness of a global positive solution is proved. The Lyapunov analysis method is used to obtain sufficient conditions for the existence of a stationar...

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Bibliographic Details
Published inMathematical Modeling and Computing Vol. 11; no. 1; pp. 84 - 95
Main Authors Ben Lahbib, A., Azrar, L.
Format Journal Article
LanguageEnglish
Published 2024
Online AccessGet full text
ISSN2312-9794
2415-3788
DOI10.23939/mmc2024.01.084

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Summary:This paper presents theoretical and numerical study of a stochastic SIRC epidemic model with time delay and nonlinear incidence. The existence and uniqueness of a global positive solution is proved. The Lyapunov analysis method is used to obtain sufficient conditions for the existence of a stationary distribution and the disease extinction under certain assumptions. Numerical simulations are also elaborated for the considered stochastic model in order to corroborate the theoretical findings.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2024.01.084