Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size

被引：12
作者：
Liu, Qun [1 ,2 ]
Jiang, Daqing [1 ,3 ,4 ]
Shi, Ningzhong [1 ]
Hayat, Tasawar [3 ,5 ]
Alsaedi, Ahmed [3 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Yulin Normal Univ, Guangxi Univ Key Lab Complex Syst Optimizat & Big, Sch Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 121589, Saudi Arabia
[4] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
[5] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 469卷
关键词：
Stochastic tuberculosis model; Stationary distribution; Extinction; Lyapunov function; INTRINSIC TRANSMISSION DYNAMICS; PERSISTENT HIGH-INCIDENCE; IMMIGRANTS; EXTINCTION; SYSTEM; IMPACT;
D O I：
10.1016/j.physa.2016.11.053
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：518 / 530
页数：13
相关论文
共 34 条
1234