Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

被引:6
|
作者
Li, Zhiming [1 ]
Teng, Zhidong [1 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
基金
中国国家自然科学基金;
关键词
Liu process; Uncertain SIS epidemic model; a-Path; Uncertainty distribution; EXTINCTION; STABILITY;
D O I
10.1007/s10700-019-09303-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Based on uncertainty theory, this paper studies an uncertain SIS epidemic model with nonlinear incidence and demography. The solution, alpha-paths and uncertainty distribution of uncertain model are discussed. Under threshold conditions, extinction and permanence of the disease are studied by alpha-paths, which reveal the relationship of deterministic and uncertain models. An example is given to illustrate the above results.
引用
收藏
页码:475 / 491
页数:17
相关论文
共 50 条
  • [1] Analysis of uncertain SIS epidemic model with nonlinear incidence and demography
    Zhiming Li
    Zhidong Teng
    Fuzzy Optimization and Decision Making, 2019, 18 : 475 - 491
  • [2] Solution and α-path of uncertain SIS epidemic model with standard incidence and demography
    Fang, Jun
    Li, Zhiming
    Yang, Fan
    Zhou, Mengyuan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (01) : 927 - 935
  • [3] Complex dynamics in an SIS epidemic model with nonlinear incidence
    Yuan, Ruixia
    Teng, Zhidong
    Li, Jinhui
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [4] Complex dynamics in an SIS epidemic model with nonlinear incidence
    Ruixia Yuan
    Zhidong Teng
    Jinhui Li
    Advances in Difference Equations, 2019
  • [5] Canard phenomenon for an SIS epidemic model with nonlinear incidence
    Li, Chengzhi
    Li, Jianquan
    Ma, Zhien
    Zhu, Huanping
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (02) : 987 - 1004
  • [6] 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,
  • [7] 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
  • [8] Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
    Ning Gao
    Yi Song
    Xinzeng Wang
    Jianxin Liu
    Advances in Difference Equations, 2019
  • [9] Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
    Gao, Ning
    Song, Yi
    Wang, Xinzeng
    Liu, Jianxin
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [10] Study of SIS Epidemic Model with Vaccination and Nonlinear Incidence Rate
    Shi, Xiangyun
    Song, Xinyu
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 240 - 244