期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION C-A JOURNAL OF BIOSCIENCES
卷 75, 期 11-12, 页码 389-396出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/znc-2020-0121
关键词
COVID-19; homotopy method; mathematical model; mathematical model with and without control; pandemic
资金
- Deanship of Scientific Research, University of Hafr Al-Batin [G-108-2020]
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.
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