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

Seyfeddine Moualkia

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: In this paper, we study a variable-order fractional mathematical model driven by Lévy 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.

Keywords: Stochastic COVID-19 model; Omicron SARS-CoV-2 variant; Fractional variable-order; Lévy noise; Ulam–Hyers–Rassias stability; Numerical results (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012097

DOI: 10.1016/j.chaos.2022.113030

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