Mathematical analysis of new variant Omicron model driven by L?vy noise and with variable-order fractional derivatives

被引:9
作者
Moualkia, Seyfeddine [1 ,2 ]
机构
[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Peoples R China
[2] 8 Mai 1945 Guelma Univ, Dept Math, Guelma 24000, Algeria
关键词
Stochastic COVID-19 model; Omicron SARS-CoV-2 variant; Fractional variable-order; L?vy noise; Ulam-Hyers-Rassias stability; Numerical results; DYNAMICS;
D O I
10.1016/j.chaos.2022.113030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study a variable-order fractional mathematical model driven by Levy noise describing the new variant of COVID-19 (Omicron virus). Based on our analysis and discussion under a new set of sufficient conditions, we prove the existence and uniqueness of the related solution. Moreover, we discuss the stability analysis of the corresponding Omicron virus model by employing Ulam-Hyers and Ulam-Hyers- Rassias stabilities in Banach spaces. Finally, we present some numerical results and comparative studies to show clearly the importance of our results and its effects on behaviors of the new variant model.
引用
收藏
页数:13
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