A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena

被引：3
|
作者：
El Haitami, Adil [1 ]
Settati, Adel [1 ]
Lahrouz, Aadil [1 ]
El Idrissi, Mourad [1 ]
El Merzguioui, Mhamed [1 ]
机构：
[1] Abdelmalek Essaadi Univ, Lab Math & applicat, FSTT, Tetouan, Morocco
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 05期
关键词：
Stochastic epidemic model; SIRI epidemic model; Markovian switching; Extinction; Persistence in mean; Stationary distribution; ASYMPTOTIC PROPERTIES; POPULATION-DYNAMICS; GLOBAL STABILITY;
D O I：
10.1007/s40435-023-01256-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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：15
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