Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Saeed Ahmad, D. Qiu, Mati ur Rahman
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引用次数: 18

Abstract

For the sake of human health, it is crucial to investigate infectious diseases including HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus (COVID-19) poses a serious threat. The experimental vaccination and different COVID-19 strains found around the world make the virus' spread unavoidable. In the current research, fractional order is used to study the dynamics of a nonlinear modified COVID-19 SEIR model in the framework of the Caputo-Fabrizio fractional operator with order b. Fixed point theory has been used to investigate the qualitative analysis of the solution respectively. The well-known Laplace transform method is used to determine the approximate solution of the proposed model. Using the COVID-19 data that is currently available, numerical simulations are run to validate the necessary scheme and examine the dynamic behavior of the various compartments of the model. In order to stop the pandemic from spreading, our findings highlight the significance of taking preventative steps and changing one's lifestyle.
Caputo-Fabrizio算子非奇异核下分数阶COVID-19模型的动力学
为了人类的健康,调查包括艾滋病毒/艾滋病、肝炎和其他传染病是至关重要的。在世界范围内,最近发现的新型冠状病毒(COVID-19)构成了严重威胁。实验性疫苗接种和世界各地发现的不同COVID-19毒株使病毒的传播不可避免。本研究采用分数阶方法,在阶为b的Caputo-Fabrizio分数算子框架下研究了一种非线性修正COVID-19 SEIR模型的动力学问题,并分别采用不动点理论对其解进行了定性分析。利用著名的拉普拉斯变换方法确定了所提模型的近似解。利用目前可用的COVID-19数据,运行数值模拟以验证必要的方案,并检查模型各隔室的动态行为。为了阻止大流行的传播,我们的研究结果强调了采取预防措施和改变生活方式的重要性。
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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