A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena

被引：0
作者：
Adil El Haitami
Adel Settati
Aadil Lahrouz
Mourad El Idrissi
Mhamed El Merzguioui
机构：
[1] Abdelmalek Essaadi University,Laboratory of mathematics and applications, FSTT
来源：
International Journal of Dynamics and Control | 2024年 / 12卷
关键词：
Stochastic epidemic model; SIRI epidemic model; Markovian switching; Extinction; Persistence in mean; Stationary distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This study aims to analyze the dynamic behaviors of a stochastic SIRI epidemic model with nonlinear relapse under regime switching. We present the necessary conditions for both disease extinction and persistence, and determine the criteria for the existence of stationary distribution in our model during regime switching. Furthermore, we validate our theoretical findings through computer simulations. The results of this research can enhance our comprehension of epidemic models and assist in the development of effective disease control strategies.
引用
收藏
页码：1287 / 1301
页数：14
相关论文
共 68 条
  • [1] Beretta E(1995)Global stability of a SIR epidemic model with time delay J Math Biol 33 250-260
  • [2] Takeuchi Y(2007)A stochastic model of AIDS and condom use J Math Anal Appl 325 36-53
  • [3] Dalal N(2011)A stochastic differential equation SIS epidemic model SIAM J Appl Math 71 876-902
  • [4] Greenhalgh D(2012)The SIS epidemic model with Markovian switching J Math Anal Appl 394 496-516
  • [5] Mao X(2013)Stochastic SIRS model under regime switching Nonlinear Anal Real World Appl 14 352-364
  • [6] Gray A(2001)An algorithmic introduction to numerical simulation of stochastic differential equations SIAM Rev 43 525-46
  • [7] Greenhalgh D(2011)Stability in distribution of competitive Lotka–Volterra system with Markovian switching Appl Math Model 35 3189-3200
  • [8] Hu L(1927)Contribution to mathematical theory of epidemics Proc R Soc Lond A Math 115 700-721
  • [9] Mao X(2007)Stability of regime-switching diffusions Stoch Process Appl 117 1037-1051
  • [10] Pan J(2013)Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence Stat Probab Lett 83 960-968
1234567