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
  • [1] Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
    Lin, Yuguo
    Jiang, Daqing
    Liu, Taihui
    APPLIED MATHEMATICS LETTERS, 2015, 45 : 103 - 107
  • [2] Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 462 : 837 - 845
  • [3] The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence
    Wen, Buyu
    Teng, Zhidong
    Li, Zhiming
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 508 : 532 - 549
  • [4] Periodic Solution of the DS-I-A Epidemic Model with Stochastic Perturbations
    Liu, Songnan
    Xu, Xiaojie
    FILOMAT, 2019, 33 (08) : 2219 - 2235
  • [5] PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE
    Ding, Yanlin
    Ren, Xinzhi
    Jiang, Cuicui
    Zhang, Qianhong
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (06): : 2439 - 2458
  • [6] Nontrivial periodic solution for a stochastic brucellosis model with application to Xinjiang, China
    Wang, Lei
    Wang, Kai
    Jiang, Daqing
    Hayat, Tasawar
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 510 : 522 - 537
  • [7] Periodic solution for a stochastic nonautonomous SIR epidemic model with logistic growth
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 462 : 816 - 826
  • [8] Random periodic solution for a stochastic SIS epidemic model with constant population size
    Zhao, Dianli
    Yuan, Sanling
    Liu, Haidong
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [9] Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients
    Kuniya, Toshikazu
    APPLIED MATHEMATICS LETTERS, 2014, 27 : 15 - 20
  • [10] Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins
    Song, Keying
    Zhang, Tonghua
    Ma, Wanbiao
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 87 - 93
12345