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

被引：1
作者：
Wang, Suxia [1 ,2 ]
Zhao, Juan [1 ]
Zhu, Junxing [1 ]
Ren, Xiaoli [1 ,2 ]
机构：
[1] Natl Univ Def Technol, Coll Comp Meteorol & Oceanog, Changsha, Peoples R China
[2] Natl Univ Def Technol, Coll Comp Sci & Technol, Changsha, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Stochastic HIV model; Ito's formula; Asymptotic behavior; Lyapunov function; Beddington-DeAngelis functional; COMPARISON-THEOREMS; DYNAMICS;
D O I：
10.1186/s13662-020-02911-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：14
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