Mathematical modelling on coronavirus (COVID-19) disease transmission with quarantine and isolation

Abstract

This paper attempts to explore the COVID-19 outbreak with the help of an epidemic model. The number of COVID-19 infected cases is increasing all over the world. For the proposed model, the total population N is partitioned into seven subclasses namely S, E, Q, A, I, J and R which denote the susceptible, exposed, quarantined, asymptomatic infected, symptomatic infected, isolated and the recovered people, respectively. The class W is used for the environmental reservoir for the disease. The dynamical behavior of the system is explored with the help of the basic reproduction number R0 and the global stability analysis. The effect of the transition rate of individuals ( ) from the exposed class to the quarantined class is explored. It is established that the total number of infected individuals decreases drastically with the increase in the value of . Also, the effect of transition rate of individuals from infected class to the isolation class and that of the disease transmission rate from quarantined class, isolation class and environmental reservoir to the susceptible class on the dynamics of the system is explored. The impact of the virus removal rate from the environmental reservoir on the value of the basic reproduction number R0 is also investigated. Further, it is shown that the environmental reservoir for disease plays an important role