Mathematical analysis and simulation of a stochastic COVID-19 Levy jump model with isolation strategy

被引:65
作者
Danane, Jaouad [1 ]
Allali, Karam [2 ]
Hammouch, Zakia [3 ,4 ,5 ]
Nisar, Kottakkaran Sooppy [6 ]
机构
[1] Hassan First Univ, Natl Sch Appl Sci, Lab Syst Modelizat & Anal Decis Support, Berrechid, Morocco
[2] Univ Hassan II Casablanca, Fac Sci & Tech, Lab Math & Applicat, POB 146, Mohammadia, Morocco
[3] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[5] Moulay Ismail Univ Meknes, Ecole Normale Super, Meknes 5000, Morocco
[6] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser 11991, Saudi Arabia
关键词
COVID-19; Levy jump; White noise; Isolation strategy; Basic reproduction number; VIRAL-INFECTION MODEL; GLOBAL STABILITY; HIV-INFECTION; IMMUNE-RESPONSE; EPIDEMIC MODEL; DYNAMICS; DRIVEN;
D O I
10.1016/j.rinp.2021.103994
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Levy jump perturbations are incorporated in all compartments of the suggested model. First, the existence and uniqueness of a global positive solution are proven. Next, the stochastic dynamic properties of the stochastic solution around the deterministic model equilibria are investigated. Finally, the theoretical results are reinforced by some numerical simulations.
引用
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页数:12
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