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Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel
Mathematical Methods in the Applied Sciences ( IF 2.9 ) Pub Date : 2020-09-15 , DOI: 10.1002/mma.6886
V. Padmavathi 1 , A. Prakash 2 , K. Alagesan 3 , N. Magesh 4
Affiliation  

Every now and then, there has been natural or man‐made calamities. Such adversities instigate various institutions to find solutions for them. The current study attempts to explore the disaster caused by the micro enemy called coronavirus for the past few months and aims at finding the solution for the system of nonlinear ordinary differential equations to which qhomotopy analysis transform method (qHATM) has been applied to arrive at effective results. In this paper, there are eight nonlinear ordinary differential equations considered and to solve them the advanced fractional operator Atangana‐Baleanu (AB) fractional derivative has been applied to produce better understanding. The outcomes have been presented in terms of plots. Ultimately, the present study assists in examining the real‐world models and aids in predicting their behavior corresponding to the parameters considered in the models.

中文翻译:

使用Mittag-Leffler内核的新型冠状病毒(COVID-19)模型的分析和数值模拟

时不时地发生自然或人为的灾难。这种逆境促使各种机构寻找解决方案。目前的研究试图探讨导致过去几个月和目标微敌人叫冠状病毒灾难,在寻找解决方案的非线性微分方程到的系统q -同伦分析变换方法q -已应用HATM)以获得有效的结果。在本文中,考虑了八个非线性常微分方程,为了解决它们,高级分数算子Atangana-Baleanu(AB)分数导数已被应用以产生更好的理解。结果以情节表示。最终,本研究有助于检查真实世界的模型,并有助于预测与模型中考虑的参数相对应的行为。
更新日期:2020-09-15
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