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具有隔离策略的随机新冠病毒-19 Lévy跳跃模型的数学分析与模拟

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

作者信息

Danane Jaouad, Allali Karam, Hammouch Zakia, Nisar Kottakkaran Sooppy

机构信息

Laboratory of Systems Modelization and Analysis for Decision Support, National School of Applied Sciences, Hassan First University, Berrechid, Morocco.

Laboratory of Mathematics and Applications, Faculty of Sciences and Techniques, Mohammedia, University Hassan II-Casablanca, PO Box 146, Mohammedia, Morocco.

出版信息

Results Phys. 2021 Apr;23:103994. doi: 10.1016/j.rinp.2021.103994. Epub 2021 Mar 4.

DOI:10.1016/j.rinp.2021.103994
PMID:33686366
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7929785/
Abstract

This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Lévy 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.

摘要

本文研究了具有隔离策略的新冠肺炎随机模型的动力学。所提出模型的所有隔室中都纳入了白噪声以及 Lévy 跳扰动。首先，证明了全局正解的存在性和唯一性。其次，研究了确定性模型平衡点附近随机解的随机动力学性质。最后，通过一些数值模拟加强了理论结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/80a0dd55f22f/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/9a41793da9ec/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/43843061364b/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/3ae65332ef73/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/7f4f564a2171/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/6601e1749c01/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/80a0dd55f22f/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/9a41793da9ec/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/43843061364b/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/3ae65332ef73/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/7f4f564a2171/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/6601e1749c01/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/26b7/7929785/80a0dd55f22f/gr6_lrg.jpg

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