Dynamics of Covid-19 Transmission Using Mathematical Model

Salek A and Islam SB

Published on: 2020-05-25

Abstract

We broaden a dynamical model to recognize the underlying dynamics of COVID-19 contamination at the population in the recent world. As reported by the World Health Organization, a novel coronavirus (2019-nCoV) was identified as the causative virus of Wuhan pneumonia of unknown aetiology by Chinese authorities on 7 January 2020. The virus was named as severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) by International Committee on Taxonomy of Viruses on 11 February 2020. This study aimed to develop a mathematical model for calculating the transmissibility of the virus. The model, which integrates the remedy of people, the infections of latent and medicinal people, is rigorously analyzed to gather insight into its dynamical features. The phenomenon resulted because of the exogenous infection of COVID-19 disease. The mathematical assessment is famous that the version exhibits even as COVID-19 treatment stays of infected elegance. It's far demonstrated that, in the absence of preparation, the version has a sickness-loose equilibrium (DEF) this is globally asymptotically stable, and the associated reproduction threshold is less than fraternal cases. Similarly, the model has a unique endemic equilibrium (EEP), for a special case, whenever the related duplicate threshold amount exceeds solidarity. For a unique case, the EEP is operating the use of the important manifold theorem of Castillo-Chavez.