The persistence and extinction of a stochastic SIS epidemic model with Logistic growth

被引：6
|
作者：
Liu, Jiamin [1 ]
Chen, Lijuan [1 ]
Wei, Fengying [1 ]
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Extinction; Persistence; Stochastic SIS model; Logistic growth; VARYING SIZE; POPULATION; THRESHOLD; DYNAMICS; DELAY;
D O I：
10.1186/s13662-018-1528-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamical properties of a stochastic susceptible-infected epidemic model with Logistic growth are investigated in this paper. We show that the stochastic model admits a nonnegative solution by using the Lyapunov function method. We then obtain that the infected individuals are persistent under some simple conditions. As a consequence, a simple sufficient condition that guarantees the extinction of the infected individuals is presented with a couple of illustrative examples.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] Persistence and Extinction of a Stochastic Epidemic Model with Delay and Proportional Vaccination
    Gan, Shu-qi
    Wei, Feng-ying
    INTERNATIONAL CONFERENCE ON MATHEMATICS, MODELLING AND SIMULATION TECHNOLOGIES AND APPLICATIONS (MMSTA 2017), 2017, 215 : 46 - 52
  • [22] The Extinction and Persistence of a Stochastic SIQR Epidemic Model with Vaccination Effect
    Sun, Lijun
    Zhao, Xinyue
    Liu, Juan
    IAENG International Journal of Applied Mathematics, 2021, 51 (03) : 1 - 8
  • [23] Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
    Rajasekar, S. P.
    Pitchaimani, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
  • [24] Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate
    Han, Qixing
    Jiang, Daqing
    Yuan, Chengjun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [25] PERMANENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH THREE INDEPENDENT BROWNIAN MOTIONS
    Li, Shangzhi
    Guo, Shangjiang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (05): : 2693 - 2719
  • [26] b PERSISTENCE AND EXTINCTION OF AN IMPULSIVE STOCHASTIC LOGISTIC MODEL WITH INFINITE DELAY
    Lu, Chun
    Ding, Xiaohua
    OSAKA JOURNAL OF MATHEMATICS, 2016, 53 (01) : 1 - 29
  • [27] Parameter identification for a stochastic logistic growth model with extinction
    Campillo, Fabien
    Joannides, Marc
    Larramendy-Valverde, Irene
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2018, 47 (03) : 721 - 737
  • [28] PERSISTENCE AND EXTINCTION FOR STOCHASTIC LOGISTIC MODEL WITH LEVY NOISE AND IMPULSIVE PERTURBATION
    Lu, Chun
    Ma, Qiang
    Ding, Xiaohua
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [29] Persistence and Extinction for Stochastic HBV Epidemic Model with Treatment Cure Rate
    Sadki, Marya
    Ez-zetouni, Adil
    Allali, Karam
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [30] Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
    Ramziya Rifhat
    Zhidong Teng
    Chunxia Wang
    Advances in Difference Equations, 2021
12345