Higazy M
Department of Mathematics and Statistics, Faculty of Science, Taif University, Saudi Arabia.
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt.
Chaos Solitons Fractals. 2020 Sep;138:110007. doi: 10.1016/j.chaos.2020.110007. Epub 2020 Jun 13.
Nowadays, COVID-19 has put a significant responsibility on all of us around the world from its detection to its remediation. The globe suffer from lockdown due to COVID-19 pandemic. The researchers are doing their best to discover the nature of this pandemic and try to produce the possible plans to control it. One of the most effective method to understand and control the evolution of this pandemic is to model it via an efficient mathematical model. In this paper, we propose to model COVID-19 pandemic by fractional order SIDARTHE model which did not appear in the literature before. The existence of a stable solution of the fractional order COVID-19 SIDARTHE model is proved and the fractional order necessary conditions of four proposed control strategies are produced. The sensitivity of the fractional order COVID-19 SIDARTHE model to the fractional order and the infection rate parameters are displayed. All studies are numerically simulated using MATLAB software via fractional order differential equation solver.
如今，从新冠病毒的检测到整治，新冠疫情给全球所有人都带来了重大责任。由于新冠疫情大流行，全球都处于封锁状态。研究人员正在竭尽全力探寻这场大流行的本质，并试图制定可行的控制计划。理解和控制这场大流行演变的最有效方法之一，是通过一个有效的数学模型对其进行建模。在本文中，我们提议用分数阶SIDARTHE模型对新冠疫情大流行进行建模，该模型此前未在文献中出现过。证明了分数阶新冠病毒SIDARTHE模型稳定解的存在性，并给出了所提出的四种控制策略的分数阶必要条件。展示了分数阶新冠病毒SIDARTHE模型对分数阶和感染率参数的敏感性。所有研究都通过分数阶微分方程求解器，使用MATLAB软件进行了数值模拟。
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