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Study of COVID-19 mathematical model of fractional order via modified Euler method
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2021-04-18 , DOI: 10.1016/j.aej.2021.04.032
Ghazala Nazir , Anwar Zeb , Kamal Shah , Tareq Saeed , Rahmat Ali Khan , Sheikh Irfan Ullah Khan

Our main goal is to develop some results for transmission of COVID-19 disease through Bats-Hosts-Reservoir-People (BHRP) mathematical model under the Caputo fractional order derivative (CFOD). In first step, the feasible region and bounded ness of the model are derived. Also, we derive the disease free equilibrium points (DFE) and basic reproductive number for the model. Next, we establish theoretical results for the considered model via fixed point theory. Further, the condition for Hyers-Ulam’s (H-U) type stability for the approximate solution is also established. Then, we compute numerical solution for the concerned model by applying the modified Euler’s method (MEM). For the demonstration of our proposed method, we provide graphical representation of the concerned results using some real values for the parameters involve in our considered model.



中文翻译:

COVID-19分数阶数学模型的改进欧拉方法研究

我们的主要目标是在 Caputo 分数阶导数 (CFOD) 下通过 Bats-Hosts-Reservoir-People (BHRP) 数学模型开发 COVID-19 疾病传播的一些结果。第一步,推导出模型的可行域和有界性。此外,我们推导出模型的无病平衡点 (DFE) 和基本再生数。接下来,我们通过不动点理论为所考虑的模型建立理论结果。此外,还建立了近似解的 Hyers-Ulam (HU) 型稳定性条件。然后,我们通过应用改进的欧拉方法 (MEM) 计算相关模型的数值解。为了演示我们提出的方法,

更新日期:2021-06-07
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