Asymptotic behavior of a stochastic HIV model with Beddington–DeAngelis functional response

Advances in Difference Equations

article

Wang, Suxia¹  Zhao, Juan¹  Zhu, Junxing¹  Ren, Xiaoli¹ 

[1] College of Computer Meteorology and Oceanography, National University of Defense Technology;College of Computer Science and Technology, National University of Defense Technology

关键词: Stochastic HIV model;    Itô’s formula;    Asymptotic behavior;    Lyapunov function;    Beddington–DeAngelis functional;   

DOI  :  10.1186/s13662-020-02911-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study the dynamics property of a stochastic HIV model with Beddington–DeAngelis functional response. It has a unique uninfected steady state. We prove that the model has a unique global positive solution. Furthermore, if the basic reproductive number is not larger than 1, the asymptotic behavior of the solution is stochastically stable. Otherwise, it fluctuates randomly around the infected steady state of the corresponding deterministic HIV model. Finally, some numerical simulations are carried out to verify our results.

【 授权许可】

CC BY