The extinction and persistence of the stochastic hepatitis B epidemic model

被引：85
作者：
Khan, Tahir [1 ]
Khan, Amir [2 ]
Zaman, Gul [1 ]
机构：
[1] Univ Malakand Chakdara, Dept Math, Dir L, Pakhtunkhwa, Pakistan
[2] Univ Swat, Dept Stat & Math, Pakhtunkhwa, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 108卷
关键词：
Stochastic hepatitis B epidemic model; Extinction; Persistence; Numerical simulation; STATIONARY DISTRIBUTION; TRANSMISSION DYNAMICS; MATHEMATICAL-MODEL; VIRUS; VACCINATION; POPULATION; STABILITY; THRESHOLD; BEHAVIOR; SYSTEM;
D O I：
10.1016/j.chaos.2018.01.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the dynamic of a stochastic hepatitis B epidemic model. A stochastic hepatitis B model is formulated with a varying population environment for a long term behavior. The proposed model consists of three classes, namely the susceptible individuals in which the transmission rate is distributed by white noise, the infected individuals in which the same perturbation occurs and the recovered individuals. We derive sufficient conditions for the extinction and the persistence. Finally, we carry out the numerical simulations to support our analytical results. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：123 / 128
页数：6
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