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
  • [1] Dynamics of a stochastic heroin epidemic model
    Liu, Shitao
    Zhang, Liang
    Xing, Yifan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 351 : 260 - 269
  • [2] Dynamics of stochastic SEIS epidemic model with varying population size
    Liu, Jiamin
    Wei, Fengying
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 464 : 241 - 250
  • [3] THE THRESHOLD OF A STOCHASTIC SIRS EPIDEMIC MODEL IN A POPULATION WITH VARYING SIZE
    Zhao, Yanan
    Jiang, Daqing
    Mao, Xuerong
    Gray, Alison
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (04): : 1277 - 1295
  • [4] Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
    Zhang, Xiao-Bing
    Huo, Hai-Feng
    Xiang, Hong
    Meng, Xin-You
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 546 - 558
  • [5] Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate
    Wang, Xinghao
    Zhang, Liang
    Zhang, Xiao-Bing
    SYMMETRY-BASEL, 2024, 16 (04):
  • [6] Dynamics of a stochastic SIR epidemic model with saturated incidence
    Liu, Qun
    Chen, Qingmei
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 282 : 155 - 166
  • [7] Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size
    Zhang, Xiao-Bing
    Zheng, Liang
    JOURNAL OF NONLINEAR SCIENCE, 2023, 33 (06)
  • [8] Dynamics Analysis of a Nonlinear Stochastic SEIR Epidemic System with Varying Population Size
    Han, Xiaofeng
    Li, Fei
    Meng, Xinzhu
    ENTROPY, 2018, 20 (05)
  • [9] DYNAMICS OF A MULTIGROUP SIRS EPIDEMIC MODEL WITH RANDOM PERTURBATIONS AND VARYING TOTAL POPULATION SIZE
    Liu, Qun
    Jiang, Daqing
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (02) : 1089 - 1110
  • [10] Dynamics of a Stochastic SEIR Epidemic Model with Vertical Transmission and Standard Incidence
    Li, Ruichao
    Guo, Xiurong
    MATHEMATICS, 2024, 12 (03)
12345