STOCHASTIC AND DETERMINISTIC SIS PATCH MODEL

被引：0
|
作者：
Yeo, Tenan [1 ,2 ,3 ]
机构：
[1] Aix Marseille Univ, Marseille, France
[2] CNRS, Cent Marseille, I2M, Marseille, France
[3] Univ FH Boigny, UFR MI, Abidjan, Cote Ivoire
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 12期
关键词：
epidemic patch model; law of large numbers; endemic equilibrium; GLOBAL STABILITY; SYSTEMS; NUMBERS;
D O I：
10.3934/dcdsb.2021012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here, we consider an SIS epidemic model where the individuals are distributed on several distinct patches. We construct a stochastic model and then prove that it converges to a deterministic model as the total population size tends to infinity. We next study the equilibria of the deterministic model. Our main contribution is a stability result of the endemic equilibrium in the case R-0 > 1. Finally we compare the equilibria with those of the homogeneous model, and with those of isolated patches.
引用
收藏
页码：6173 / 6184
页数：12
相关论文
共 50 条
  • [41] A stochastic sis infection model incorporating indirect transmission
    Clancy, D
    [J]. JOURNAL OF APPLIED PROBABILITY, 2005, 42 (03) : 726 - 737
  • [42] Optimal consumption and portfolio choices in the stochastic SIS model
    Li, Shilin
    Li, Tongtong
    Yang, Jinqiang
    [J]. NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE, 2022, 63
  • [43] Stochastic SIS epidemic model on network with Levy noise
    Yang, Hong
    Jin, Zhen
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2022, 40 (03) : 520 - 538
  • [44] The threshold of a stochastic SIS epidemic model with imperfect vaccination
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 144 : 78 - 90
  • [45] The global dynamics for a stochastic SIS epidemic model with isolation
    Chen, Yiliang
    Wen, Buyu
    Teng, Zhidong
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1604 - 1624
  • [46] Hamiltonian dynamics of the SIS epidemic model with stochastic fluctuations
    Gilberto M. Nakamura
    Alexandre S. Martinez
    [J]. Scientific Reports, 9
  • [47] The asymptotic behavior of a stochastic SIS epidemic model with vaccination
    Yanan Zhao
    Qiumei Zhang
    Daqing Jiang
    [J]. Advances in Difference Equations, 2015
  • [48] Threshold behavior of a stochastic SIS model with Levy jumps
    Zhou, Yanli
    Yuan, Sanling
    Zhao, Dianli
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 255 - 267
  • [49] Dynamics of a Stochastic SIS Epidemic Model with Saturated Incidence
    Chen, Can
    Kang, Yanmei
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [50] The extinction and persistence of the stochastic SIS epidemic model with vaccination
    Zhao, Yanan
    Jiang, Daqing
    O'Regan, Donal
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (20) : 4916 - 4927
12345