Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel

Numer Methods Partial Differ Equ. 2020 Nov 24:10.1002/num.22652. doi: 10.1002/num.22652. Online ahead of print.

Abstract

In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown-like spikes on the surface of the virus) causing severe infections like acute lung injury and acute respiratory distress syndrome. The contagion of this virus categorized as severed, which even causes severe damages to human life to harmless such as a common cold. In this manuscript, we discussed the SARS-CoV-2 virus into a system of equations to examine the existence and uniqueness results with the Atangana-Baleanu derivative by using a fixed-point method. Later, we designed a system where we generate numerical results to predict the outcome of virus spreadings all over India.

Keywords: AB‐derivative; coronavirus; fixed‐point techniques; fractional calculus; mathematical models.