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一种混合随机分数阶冠状病毒（2019 - nCov）数学模型。

A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model.

作者信息

Sweilam N H, Al-Mekhlafi S M, Baleanu D

机构信息

Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt.

Sana'a University, Faculty of Education, Department of Mathematics, Yemen.

出版信息

Chaos Solitons Fractals. 2021 Apr;145:110762. doi: 10.1016/j.chaos.2021.110762. Epub 2021 Feb 10.

DOI:10.1016/j.chaos.2021.110762
PMID:33589855
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7874938/
Abstract

In this paper, a new stochastic fractional Coronavirus (2019-nCov) model with modified parameters is presented. The proposed stochastic COVID-19 model describes well the real data of daily confirmed cases in Wuhan. Moreover, a novel fractional order operator is introduced, it is a linear combination of Caputo's fractional derivative and Riemann-Liouville integral. Milstein's higher order method is constructed with the new fractional order operator to study the model problem. The mean square stability of Milstein algorithm is proved. Numerical results and comparative studies are introduced.

摘要

本文提出了一种具有修正参数的新型随机分数阶冠状病毒（2019 - nCov）模型。所提出的随机新冠病毒模型很好地描述了武汉每日确诊病例的实际数据。此外，引入了一种新型分数阶算子，它是卡普托分数阶导数和黎曼 - 刘维尔积分的线性组合。利用新的分数阶算子构造了米尔斯坦高阶方法来研究该模型问题。证明了米尔斯坦算法的均方稳定性。给出了数值结果和对比研究。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/fbabb2f20235/gr16_lrg.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/fbabb2f20235/gr16_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/e8393b2d1e04/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/6dc5a1323553/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/96299a01007e/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/39311e0323af/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/aeea84d14d94/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/8deb03ef51e3/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/64c71928951f/gr7_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/f9735a07d52b/gr8_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/9ca258cc7721/gr9_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/a032a84f3c54/gr10_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/55db733e7f88/gr11_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/2eaff72b3a5d/gr12_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/8df7feb2450d/gr13_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/433c40786cbe/gr14_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/cbf467654aa0/gr15_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9740/7874938/fbabb2f20235/gr16_lrg.jpg

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