A fractional complex network model for novel corona virus in China

H A A El-Saka; I Obaya; H N Agiza

doi:10.1186/s13662-020-03182-y

A fractional complex network model for novel corona virus in China

Adv Differ Equ. 2021;2021(1):5. doi: 10.1186/s13662-020-03182-y. Epub 2021 Jan 6.

Authors

H A A El-Saka¹, I Obaya², H N Agiza³

Affiliations

¹ Mathematics Department, Faculty of Science, Damietta University, New Damietta, 34517 Egypt.
² Basic Science Department, Nile Higher Institute for Engineering & Technology, Mansoura, Egypt.
³ Department of Mathematics, Faculty of Science, Mansoura University, P.O. Box 64, Mansoura, 35516 Egypt.

Abstract

As is well known the novel coronavirus (COVID-19) is a zoonotic virus and our model is concerned with the effect of the zoonotic source of the coronavirus during the outbreak in China. We present a SEIS complex network epidemic model for the novel coronavirus. Our model is presented in fractional form and with varying population. The steady states and the basic reproductive number are calculated. We also present some numerical examples and the sensitivity analysis of the basic reproductive number for the parameters.

Keywords: Basic reproductive number and fractional calculus; Complex networks; Novel coronavirus (COVID-19); Stability analysis.