A Markovian regime-switching stochastic hybrid time-delayed epidemic model with vaccination

被引：10
|
作者：
Boukanjime, Brahim [1 ]
El-Fatini, Mohamed [1 ]
Laaribi, Aziz [2 ]
Taki, Regragui [3 ]
Wang, Kai [4 ]
机构：
[1] Ibn Tofail Univ, Lab PDEs ASG, Stochast Modelling & Stat Grp, BP 133, Kenitra, Morocco
[2] Sultan Moulay Slimane Univ, Dept Math, Beni Mellal, Morocco
[3] Chouaib Doukkali Univ, EST Sidi Bennour, Dept Math, Sidi Bennour, Morocco
[4] Anhui Univ Finance & Econ, Dept Appl Math, Bengbu 233030, Peoples R China
来源：
AUTOMATICA | 2021年 / 133卷
关键词：
Vaccination; Time-delay; Beddington-DeAngelis incidence rate; Regime-switching; Extinction; THRESHOLD;
D O I：
10.1016/j.automatica.2021.109881
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 paper considers a stochastic hybrid time-delayed epidemic model with vaccination perturbed by both white noise and telegraph noise in the form of Markovian switching. Using Lyapunov method, we show existence and uniqueness of the global positive solution. Under some suitable conditions, we derive extinction with and without effect of delay. Moreover, the asymptotic bounds on solutions is also discussed. Finally, we carry out the numerical simulations, including two examples based on real life diseases to confirm our theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：6
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