Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

被引：27
|
作者：
Liu, Shitao [1 ]
Zhang, Liang [1 ]
Zhang, Xiao-Bing [2 ]
Li, Aibing [1 ]
机构：
[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China
[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic heroin epidemic model; Lyapunov function; extinction; stationary distribution; sensitivity analysis; GLOBAL STABILITY; BEHAVIOR; EXTINCTION; THRESHOLD; SEIR; SIR;
D O I：
10.1142/S1793524519500050
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size. Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions. By analyzing the sensitivity of the threshold of spread, we obtain that prevention is better than cure. Numerical simulations are carried out to confirm the analytical results.
引用
收藏
页数：21
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