A stochastic SIS epidemic model incorporating media coverage in a two patch setting

被引:30
作者
Liu, Wenbin [1 ]
Zheng, Qiben [1 ]
机构
[1] Wenzhou Univ, Coll Phys & Elect Informat Engn, Wenzhou 325035, Peoples R China
基金
美国国家科学基金会;
关键词
Epidemic model; Media coverage; Disease-free equilibrium; Almost surely exponentially stability; NONLINEAR INCIDENCE; BEHAVIOR; STABILITY; DYNAMICS; IMPACT; VACCINATION;
D O I
10.1016/j.amc.2015.04.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the stochastic disease dynamics of an 515 epidemic model on two patches incorporating media coverage. We give the global existence and positivity of the solutions, and the sufficient conditions for almost surely exponentially stability of the disease-free equilibrium, which means that the disease will be stochastic extinction. Furthermore, we perform some numerical simulations to validate the analytical finding. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:160 / 168
页数:9
相关论文
共 45 条
  • [1] An introduction to stochastic epidemic models
    Allen, Linda J. S.
    [J]. MATHEMATICAL EPIDEMIOLOGY, 2008, 1945 : 81 - 130
  • [2] Analysis of a stochastic SIR epidemic on a random network incorporating household structure
    Ball, Frank
    Sirl, David
    Trapman, Pieter
    [J]. MATHEMATICAL BIOSCIENCES, 2010, 224 (02) : 53 - 73
  • [3] HARVESTING NATURAL-POPULATIONS IN A RANDOMLY FLUCTUATING ENVIRONMENT
    BEDDINGTON, JR
    MAY, RM
    [J]. SCIENCE, 1977, 197 (4302) : 463 - 465
  • [4] Stability of epidemic model with time delays influenced by stochastic perturbations
    Beretta, E
    Kolmanovskii, V
    Shaikhet, L
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 45 (3-4) : 269 - 277
  • [5] Media effects on students during SARS outbreak
    Bergeron, SL
    Sanchez, AL
    [J]. EMERGING INFECTIOUS DISEASES, 2005, 11 (05) : 732 - 734
  • [6] Demographic impact of vaccination: a review
    Bonanni, P
    [J]. VACCINE, 1999, 17 : S120 - S125
  • [7] Brauer F., 2012, MATH MODELS POPULATI, V2
  • [8] Brinn M. P., 2010, COCHRANE DB SYST REV, V11, P1
  • [9] Stochastic epidemic models: A survey
    Britton, Tom
    [J]. MATHEMATICAL BIOSCIENCES, 2010, 225 (01) : 24 - 35
  • [10] Cai Y., 2013, ABSTR APPL ANAL, V2013