分数阶导数下新冠肺炎数学模型的研究

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2021-08-24 DOI:10.1051/mmnp/2021044

K. Shah, M. Arfan, Meshal Shutaywi, Wejdan Deebani, Dumitru Balaneau

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引用次数: 0

摘要

本文致力于介绍关于一个分数阶模型解的存在性和唯一性的一些结果，该模型解决了移民对人口模型传播动力学的影响。此外，鉴于这项调查，移民对最近被称为冠状病毒新冠肺炎的大流行传播的影响已得到检查。用不动点理论方法建立了有关结果。在对所考虑的模型进行定性分析后，通过应用拉普拉斯变换和分解方法，我们计算了有关模型的一些级数型结果。每个方程的未知量已经分解成小的量，通过添加所述量的前几项，可以非常容易地为级数解计算每个小的量。给出了一些不同情况下测试数据的近似结果来说明结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Investigation of COVID-19 Mathematical Model Under Fractional Order Derivative

The given article is devoted to presentation of some results regarding existence and uniqueness of solution to a fractional order model that addressing the effect of immigration on the transmission dynamics of a population model. Further, in view of this investigation the effect of immigration have been checked on transmission of recent pandemic known as Corona virus COVID-19. The concerned results have been established by using fixed point theory approach. After investigation qualitative analysis of the considered model, by applying Laplace transform along with decomposition method, we have calculated some series type results for the concerned model. The unknown quantities of each equation have been decomposed into small quantities to calculate each small quantity very easily for the series solution by adding first few terms of the said quantities. Approximate results of some testing data with different cases are given to illustrate the results.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.