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
相关论文
共 50 条
  • [21] A stochastic SIRS epidemic model with nonlinear incidence rate
    Cai, Yongli
    Kang, Yun
    Wang, Weiming
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 305 : 221 - 240
  • [22] The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
    Li, Dan
    Cui, Jing'an
    Liu, Meng
    Liu, Shengqiang
    BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (09) : 1705 - 1743
  • [23] Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
    Gao, Ning
    Song, Yi
    Wang, Xinzeng
    Liu, Jianxin
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [24] DYNAMICS OF STOCHASTIC HEROIN EPIDEMIC MODEL WITH LEVY JUMPS
    Li, Guangjie
    Yang, Qigui
    Wei, Yongchang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (03): : 998 - 1010
  • [25] Analysis of a stochastic epidemic model driven by bilinear incidence rate with two different transmission mechanisms
    Selvan, T. Tamil
    Kumar, M.
    JOURNAL OF ANALYSIS, 2024, 32 (01) : 509 - 527
  • [26] Asymptotic properties of switching diffusion epidemic model with varying population size
    Lahrouz, Aadil
    Settati, Adel
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (24) : 11134 - 11148
  • [27] Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence
    Chen, Can
    Kang, Yanmei
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [28] Dynamics study of a stochastic SIQR epidemic model with vaccination and saturated incidence
    Li, Hengqian
    Guo, Xiurong
    IFAC PAPERSONLINE, 2022, 55 (03): : 79 - 84
  • [29] Threshold dynamics of a stochastic SIS epidemic model with nonlinear incidence rate
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 526
  • [30] The stationary distribution of a stochastic SIQS epidemic model with varying total population size
    Zhang, Xiao-Bing
    Liu, Rui-Jie
    APPLIED MATHEMATICS LETTERS, 2021, 116
12345