Periodic solution and ergodic stationary distribution of two stochastic SIQS epidemic systems

被引：25
|
作者：
Qi, Haokun [1 ]
Zhang, Shengqiang [1 ]
Meng, Xinzhu [1 ,2 ]
Dong, Huanhe [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Shandong Prov & Minist Sci & Technol, State Key Lab Min Disaster Prevent & Control, Qingdao 266590, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 508卷
基金：
中国国家自然科学基金;
关键词：
Stochastic SIQS epidemic model; Periodic solution; Stationary distribution; Extinction; Markov switching; DYNAMICS ANALYSIS; POPULATION-SIZE; CHEMOSTAT MODEL; VACCINATION; BEHAVIOR; FLUCTUATION; ENVIRONMENT; EXTINCTION; DISEASES;
D O I：
10.1016/j.physa.2018.05.075
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper proposes two stochastic SIQS epidemic models with periodic parameters and Markov switching. We first prove that the stochastic non-autonomous periodic system has a nontrivial positive periodic solution by using the Khasminskii's theory. Then the sufficient conditions for extinction of the disease are obtained. Furthermore, we construct suitable stochastic Lyapunov functions with regime switching to prove the existence of ergodic stationary distribution of the stochastic SIQS epidemic model. At last, some rigorous numerical simulations are presented to illustrate our theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：223 / 241
页数：19
相关论文
共 50 条
  • [31] Extinction and Stationary Distribution of a Stochastic SIR Epidemic Model with Jumps
    朱敏
    李俊平
    朱永祥
    Journal of Donghua University(English Edition), 2016, 33 (06) : 843 - 850
  • [32] The stationary distribution of a stochastic heroin epidemic model with distributed delay
    Zhang, Xiaofeng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [33] Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
    Zhou, Yanli
    Zhang, Weiguo
    Yuan, Sanling
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 118 - 131
  • [34] 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
  • [35] Stationary distribution and density function of a stochastic SVIR epidemic model
    Li, Dan
    Wei, Fengying
    Mao, Xuerong
    Journal of the Franklin Institute, 2022, 359 (16) : 9422 - 9449
  • [36] Nontrivial periodic solution of a stochastic seasonal rabies epidemic model
    Cao, Zhongwei
    Feng, Wei
    Wen, Xiangdan
    Zu, Li
    Gao, Jinyao
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 545
  • [37] Periodic solution of a stochastic SIRS epidemic model with seasonal variation
    Jin, Manli
    Lin, Yuguo
    JOURNAL OF BIOLOGICAL DYNAMICS, 2017, 12 (01) : 1 - 10
  • [38] Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
    Lin, Yuguo
    Jiang, Daqing
    Liu, Taihui
    APPLIED MATHEMATICS LETTERS, 2015, 45 : 103 - 107
  • [39] Extinction and Ergodic Stationary Distribution of COVID-19 Epidemic Model with Vaccination Effects
    Batool, Humera
    Li, Weiyu
    Sun, Zhonggui
    SYMMETRY-BASEL, 2023, 15 (02):
  • [40] Ergodic stationary distribution of a stochastic rumor propagation model with general incidence function
    张宇槐
    朱建军
    Chinese Physics B, 2022, (06) : 178 - 187
12345