Dynamics analysis of stochastic tuberculosis model transmission withimmune response

AIMS Mathematics

关键词: : ;    nonlinear epidemic model;    Lyapounov function;    stochastic asymptotic stability;    Itô’sformula;   

DOI  :  10.3934/Math.2018.3.391

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

In this paper we extend the tuberculosis epidemic model from a deterministic frameworkto a deterministic model with immunue response and after to stochastic one. We formulate it asa stochastic di erential equation. We, then, etablish the stabilities of di erent equilibria, and giveconditions for extinction and persistence of the desease.

【 授权许可】

CC BY