Dynamics analysis of stochastic tuberculosis model transmission with immune response

被引：4
|
作者：
Dimi, Jean Luc [1 ,2 ]
Mbaya, Texance [1 ]
机构：
[1] Univ Marien Ngouabi, Fac Sci & Tech, BP 69, Brazzaville, Rep Congo
[2] Inst Natl Rech Sci Exactes & Nat, Ave Auberge Gascogne BP 2400, Brazzaville, Rep Congo
来源：
AIMS MATHEMATICS | 2018年 / 3卷 / 03期
关键词：
nonlinear epidemic model; Lyapounov function; stochastic asymptotic stability; Ito 's formula;
D O I：
10.3934/Math.2018.3.391
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we extend the tuberculosis epidemic model from a deterministic framework to a deterministic model with immunue response and after to stochastic one. We formulate it as a stochastic differential equation. We, then, etablish the stabilities of different equilibria, and give conditions for extinction and persistence of the desease.
引用
收藏
页码：391 / 408
页数：18
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