Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives

A. Rathinasamy, M. Chinnadurai and S. Athithan

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 179, issue C, 213-237

Abstract: The world of uncertainty motivates the study of stochastic perturbation in the mathematical models of real life. The main objective of this paper is to study stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives. We have shown that the proposed stochastic epidemic model with boundedness and permanence has a unique global positive solution. The selection of suitable Lyapunov functions provides sufficient conditions for investigating persistence and extinction of disease. Based on numerical experiments, the theoretical findings of this paper have been verified.

Keywords: Stochastic HIV epidemic model; Boundedness; Permanence; Extinction; Persistence (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:179:y:2021:i:c:p:213-237

DOI: 10.1016/j.matcom.2020.08.017

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