Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group

M Higazy; F M Allehiany; Emad E Mahmoud

doi:10.1016/j.rinp.2021.103852

Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group

Results Phys. 2021 Mar:22:103852. doi: 10.1016/j.rinp.2021.103852. Epub 2021 Jan 25.

Authors

M Higazy^{1

2}, F M Allehiany³, Emad E Mahmoud¹

Affiliations

¹ Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.
² Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt.
³ Department of Mathematical Sciences, College of Applied Sciences, Umm Al-Qura University, P.O. Box: 715, Makkah 21955, Saudi Arabia.

Abstract

The worldwide association of health (WHO) has stated that COVID-19 (the novel coronavirus disease-2019) as a pandemic. Here, the common SEIR model is generalized in order to show the dynamics of COVID-19 transmission taking into account the ABO blood group of the infected people. Fractional order Caputo derivative are used in the proposed model. Our study is guided by the results that have been obtained by Chen J, Fan H, Zhang L, et al. from three unique medical clinics in Wuhan and Shenzhen, China. In this study, the feasibility region of the proposed model are calculated plus the points of equilibrium. Also, the equilibrium points stability is examined. A unique solution existence for the proposed paradigm is proved via utilizing the fixed point theory with regards to Caputo fractional derivative. Numerical experiments of the proposed paradigm is done and we show its sensitivity to the fractional order.

Keywords: ABO blood group; COVID-19; Caputo fractional derivative; SEIR model.