Analysis of an SIS epidemic model with treatment

被引:3
|
作者
Wang, Jinghai [1 ]
Jiang, Qiaohong [1 ]
机构
[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China
关键词
epidemic model; incidence rates; treatment; globally asymptotically stable; NONLINEAR INCIDENCE RATE; III FUNCTIONAL-RESPONSE; PREDATOR-PREY SYSTEM; QUALITATIVE-ANALYSIS; DISEASES;
D O I
10.1186/1687-1847-2014-246
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An SIS epidemic model with saturated incidence rate and treatment is considered. According to different recovery rates, we use differential stability theory and qualitative theory to analyze the various kinds of endemic equilibria and disease-free equilibrium. Finally, we get complete configurations of different endemic equilibria and disease-free equilibrium.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 50 条
  • [41] The SIS epidemic model with impulsive effects
    Jin, Zhen
    Haque, Mainul
    SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 3, PROCEEDINGS, 2007, : 505 - +
  • [42] A generalization of a SIS epidemic model with fluctuations
    Esen, Ogul
    Fernandez-Saiz, Eduardo
    Sardon, Cristina
    Zajac, Marcin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3718 - 3731
  • [43] Backward bifurcation and stability analysis of a network-based SIS epidemic model with saturated treatment function
    Huang, Yi-Jie
    Li, Chun-Hsien
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [44] Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
    Tao, Youshan
    Winkler, Michael
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 71
  • [45] The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks
    Lijuan Chen
    Shouying Huang
    Fengde Chen
    Mingjian Fu
    Advances in Difference Equations, 2019
  • [46] Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
    Anqi Miao
    Xinyang Wang
    Tongqian Zhang
    Wei Wang
    BG Sampath Aruna Pradeep
    Advances in Difference Equations, 2017
  • [47] Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
    Miao, Anqi
    Wang, Xinyang
    Zhang, Tongqian
    Wang, Wei
    Pradeep, B. G. Sampath Aruna
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [48] Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps
    Lv, Long
    Yao, Xiao-Juan
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (02) : 1352 - 1369
  • [49] Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response
    Naim, Mouhcine
    Lahmidi, Fouad
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [50] ANALYSIS OF A STOCHASTIC SIS EPIDEMIC MODEL WITH TRANSPORT-RELATED INFECTION
    Liu, Rong
    Liu, Guirong
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (03): : 1296 - 1321