Nontrivial periodic solution of a stochastic seasonal rabies epidemic model

被引：2
|
作者：
Cao, Zhongwei [1 ]
Feng, Wei [2 ]
Wen, Xiangdan [3 ]
Zu, Li [4 ]
Gao, Jinyao [5 ]
机构：
[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130117, Jilin, Peoples R China
[2] Jilin Univ, Dept Anesthesiol, China Japan Union Hosp, Changchun 130033, Jilin, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China
[4] Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
[5] Jilin Univ Finance & Econ, Coll Accounting, Changchun 130117, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷
基金：
海南省自然科学基金;
关键词：
Rabies; Stochastic SEIRS epidemic model; Stochastic periodic solution; Vaccination; Lyapunov function; NONLINEAR INCIDENCE; DYNAMICS; SIR; EXTINCTION; RACCOONS;
D O I：
10.1016/j.physa.2019.123361
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a stochastic nonautonomous rabies epidemic model. By using Khasminskii's theory of periodic solutions and constructing a suitable stochastic Lyapunov function, we show that the stochastic nonautonomous epidemic model admits at least one nontrivial positive T-periodic solution under certain condition. (C) 2019 Published by Elsevier B.V.
引用
收藏
页数：18
相关论文
共 50 条
  • [41] The threshold of a stochastic SIQS epidemic model
    Pang, Yanni
    Han, Yuecai
    Li, Wenjin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [42] A stochastic SIS epidemic model with vaccination
    Cao, Boqiang
    Shan, Meijing
    Zhang, Qimin
    Wang, Weiming
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 486 : 127 - 143
  • [43] The threshold of a stochastic SIQS epidemic model
    Zhang, Xiao-Bing
    Huo, Hai-Feng
    Xiang, Hong
    Shi, Qihong
    Li, Dungang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 482 : 362 - 374
  • [44] Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate
    Wang, Xinghao
    Zhang, Liang
    Zhang, Xiao-Bing
    SYMMETRY-BASEL, 2024, 16 (04):
  • [45] A stochastic Hepatitis B epidemic model driven by Levy noise
    Boukanjime, Brahim
    El Fatini, Mohamed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 521 : 796 - 806
  • [46] The threshold of a stochastic delayed SIR epidemic model with temporary immunity
    Liu, Qun
    Chen, Qingmei
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 450 : 115 - 125
  • [47] Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Ahmad, Bashir
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2018, 36 (01) : 138 - 151
  • [48] Study on the threshold of a stochastic SIR epidemic model and its extensions
    Zhao, Dianli
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 38 : 172 - 177
  • [49] STOCHASTIC SURVIVAL ANALYSIS OF AN EPIDEMIC MODEL WITH INNATE IMMUNITY AND TREATMENT
    Chen, Lijun
    Li, Wenshuang
    Zhou, Ruiyang
    Wei, Fengying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (04): : 1862 - 1881
  • [50] Qualitative study of a stochastic SIS epidemic model with vertical transmission
    Zhang, Xiao-Bing
    Chang, Suqin
    Shi, Qihong
    Huo, Hai-Feng
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 505 : 805 - 817
12345