SIQR Mathematical Modeling for Controlling Corona Virus Disease (COVID-19) With Saturated Incidence Rate

Abstract

In this paper, we established SIQR epidemic model with saturated incidence rate for Corona virus Disease (COVID19). For more specified study the Quarantine Compartment is subdivided into two quarantine compartments Q_S; quarantine from susceptible individual class and Q_I; quarantine from infected individuals. At any given time the size of susceptible compartment will be bigger than the size of other compartments so, considering the criticality of the disease it is necessary to have the hold on this compartment for this the whole model is incorporated with saturated incidence rate. The local and global stability at equilibrium points are discussed which depends on the basic reproduction number (R₀) of the model. It has been observed if R₀ <1, then the disease free equilibrium is globally asymptotically stable and if R₀ >1, then the endemic equilibrium will be globally stable. At R₀ = 1, Disease-free equilibrium’s behavior is examined using centre manifold theory. The major finding shows that the measure of inhibition taken by the susceptible reduces the severity of Disease.