Dynamics of an SIS Epidemic Model with Double Epidemic Hypothesis

被引:0
|
作者
Sridevi, M. [1 ]
Reddy, B. Ravindra [2 ]
机构
[1] CMR Coll Engn & Technol, Dept Math, Hyderabad 500072, Telangana, India
[2] JNTUH Coll Engn, Dept Math, Hyderabad 500085, Telangana, India
关键词
Double epidemic; saturated incidence; delay; stability; stochastic dynamics; STABILITY; BEHAVIOR;
D O I
暂无
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
In this paper we have proposed an SIS epidemic model with saturated incidence and double epidemic hypothesis. We analyzed the stability of equilibrium of the deterministic system by the threshold value and acquire the condition for elimination of the epidemic diseases. In this study the environment variability is characterised by white noise. The SIS Stochastic epidemic model is introduced from deterministic epidemic framework. The mean square and exponential stability for the stochastic model is determined and the significant differences between the result of deterministic and stochastic model is illustrated by numerical simulations with the set of hypothetical data.
引用
收藏
页码:43 / 51
页数:9
相关论文
共 50 条
  • [1] Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis
    Qi, Haokun
    Liu, Lidan
    Meng, Xinzhu
    [J]. COMPLEXITY, 2017,
  • [2] Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
    Meng, Xinzhu
    Zhao, Shengnan
    Feng, Tao
    Zhang, Tonghua
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (01) : 227 - 242
  • [3] PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS
    Rui Xue
    Fengying Wei
    [J]. Annals of Applied Mathematics, 2017, 33 (01) : 77 - 89
  • [4] Stability and Hopf Bifurcation in a Delayed SIS Epidemic Model with Double Epidemic Hypothesis
    Zhang, Jiangang
    Chu, Yandong
    Du, Wenju
    Chang, Yingxiang
    An, Xinlei
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2018, 19 (06) : 561 - 571
  • [5] 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
    [J]. Advances in Difference Equations, 2017
  • [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
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [7] Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response
    Naim, Mouhcine
    Lahmidi, Fouad
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [8] Dynamics of a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence
    Li, Hengqian
    Guo, Xiurong
    [J]. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2023, 26 (11) : 1250 - 1271
  • [9] DYNAMICS OF AN IMPROVED SIS EPIDEMIC MODEL
    Memarbashi, Reza
    Tahavor, Milad
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2023, 30 (02): : 203 - 220
  • [10] Stability of a novel stochastic epidemic model with double epidemic hypothesis
    Meng, Xin-zhu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 506 - 515