An SIQV mathematical model on Covid-19 with virus population in the environment

Abstract

In this paper, we study a simple epidemic model considering the effect of contact tracing and quarantine. We consider a mathematical model composed of four non-linear ordinary differential equations with separate compartments for susceptible, infected, quarantined and virus population. Local and global stability analysis of the model is done and results are justified by numerical simulation. Basic reproduction number is computed and it is observed to be dependent on the transmission of infection directly from the virus in the environment to the susceptible individuals in addition to the infected individuals. Our study supports the fact that ability of
virus to stay live in the environment play major role in the rapid and massive spread of infection among the population.