Author:
Wang Xiaodong,Wang Chunxia,Wang Kai
Abstract
AbstractIn this paper, a stochastic SICA epidemic model with standard incidence rate for HIV transmission is proposed. The sufficient conditions of the extinction and persistence in mean for the disease are established. Numerical simulations show that random perturbations can suppress disease outbreaks and the risk of HIV transmission can be reduced by reducing the transmission coefficient of HIV while increasing the strength of the stochastic perturbation.
Funder
the Nation Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference29 articles.
1. Silva, C.J., Torres, D.F.M.: A TB-HIV/AIDS coinfection model and optimal control treatment. Discrete Contin. Dyn. Syst. 35(9), 1–25 (2015)
2. Naik, P.A., Yavuz, M., Zu, J.: The role of prostitution on HIV transmission with memory: a modeling approach, AEJ. Alex. Eng. J. 59(4), 2513–2531 (2020)
3. Naik, P.A., Zu, J., Owolabi, K.: Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control. Chaos Solitons Fractals 137, 1–30 (2020)
4. Silva, C.J., Torres, D.F.: A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde. Ecol. Complex. 30, 70–75 (2017)
5. May, R.: Stability and Complexity in Model Ecosystems, Princetom. Princeton University Press, Princeton (1973)
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献