Stochastic dynamics of an HIV/AIDS epidemic model with treatment

被引：12

作者：

Nsuami, Mozart U. ^{[1
]}

Witbooi, Peter J. ^{[1
]}

机构：

[1] Univ Western Cape, Dept Math & Appl Math, Private Bag X17, ZA-7535 Bellville, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2019年 / 42卷 / 05期

关键词：

Stochastic model; HIV; AIDS model; basic reproduction number; boundedness; permanence; STABILITY; PERMANENCE;

D O I：

10.2989/16073606.2018.1478908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a stochastic HIV/AIDS epidemic model with treatment. The model allows for two stages of infection namely the asymptomatic phase and the symptomatic phase. We prove existence of global positive solutions. We show that the solutions are stochastically ultimately bounded and stochastically permanent. We also study asymptotic behaviour of the solution to the stochastic model around the disease-free equilibrium of the underlying deterministic model. Our theoretical results are illustrated by way of numerical simulations.

引用

页码：605 / 621

页数：17