International Cultural Exchange School, Donghua University, West Yanan Road 1882, Shanghai 200051, PR China.
Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia.
Z Naturforsch C J Biosci. 2020 Nov 26;75(11-12):389-396. doi: 10.1515/znc-2020-0121.
The coronavirus is currently extremely contagious for humankind, which is a zoonotic tropical disease. The pandemic is the largest in history, affecting almost the whole world. What makes the condition the worst of all is no specific effective treatment available. In this article, we present an extended and modified form of SIR and SEIR model, respectively. We begin by investigating a simple mathematical model that describes the pandemic. Then we apply different safety measures to control the pandemic situation. The mathematical model with and without control is solved by using homotopy perturbation method. Obtained solutions have been presented graphically. Finally, we develop another mathematical model, including quarantine and hospitalization.
目前，冠状病毒对人类具有极强的传染性，它是一种人畜共患的热带疾病。此次大流行是历史上规模最大的一次，几乎影响了全世界。最糟糕的是，目前还没有针对这种疾病的特效治疗方法。在本文中，我们分别提出了扩展和修改后的 SIR 和 SEIR 模型。首先，我们研究了一个简单的数学模型来描述这种大流行。然后，我们应用不同的安全措施来控制疫情。使用同伦摄动法求解带和不带控制的数学模型。用图形给出了得到的解。最后，我们开发了另一个包括检疫和住院治疗的数学模型。
