A stochastic model of HIV infection incorporating combined therapy of HAART driven by Levy jumps

被引：13

作者：

Cheng, Yan ^{[1
]}

Zhang, Fumin ^{[2
]}

Zhao, Min ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan, Shanxi, Peoples R China

[2] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Gannan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

Stochastic epidemic model; Levy jump; Antiretroviral drug therapy; Persistence in mean; MATHEMATICAL-ANALYSIS; EPIDEMIC MODEL; DYNAMICS; THRESHOLD;

D O I：

10.1186/s13662-019-2108-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stochastic HIV infection model of virus-to-cell transmission is proposed, incorporating the antiretroviral drug therapy by introducing efficacy parameters of RTI and PI drugs, considering the Levy noise for the inherent stochastic biochemical processes. First, we discuss the model existence of a global positive solution and, by applying Ito's formula, establish a sufficient condition for the extinction of infected CD4(+) T-cells and virus particles. Then, for proving the persistence in mean, a special method is investigated to handle the model. It is obtained that if (R) over tilde (1) > 1 the infected CD4(+) T-cells and virus particles will be persistent in mean. Finally, some numerical simulations are carried out to show the effects of inherent stochastic fluctuation.

引用

页数：17

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