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Stationary distribution and extinction of a stochastic HIV/AIDS model with nonlinear incidence rate

Authors :
Helong Liu
Xinyu Song
Source :
Mathematical Biosciences and Engineering, Vol 21, Iss 1, Pp 1650-1671 (2024)
Publication Year :
2024
Publisher :
AIMS Press, 2024.

Abstract

This paper studies a stochastic HIV/AIDS model with nonlinear incidence rate. In the model, the infection rate coefficient and the natural death rates are affected by white noise, and infected people are affected by an intervention strategy. We derive the conditions of extinction and permanence for the stochastic HIV/AIDS model, that is, if $ R_0^s < 1, $ HIV/AIDS will die out with probability one and the distribution of the susceptible converges weakly to a boundary distribution; if $ R_0^s > 1 $, HIV/AIDS will be persistent almost surely and there exists a unique stationary distribution. The conclusions are verified by numerical simulation.

Details

Language :
English
ISSN :
15510018
Volume :
21
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Mathematical Biosciences and Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.475b755c1de24b4facfdf08dd321e5b6
Document Type :
article
Full Text :
https://doi.org/10.3934/mbe.2024072?viewType=HTML