Mathematical analysis of the effects of controls on transmission dynamics of SARS-CoV-2

COVID-19, an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), starting from Wuhan city of China, plagued the world in the later part of 2019. We developed a deterministic model to study the transmission dynamics of the disease with two categories of the Susceptibles (ie Immigrant Susceptibles and Local Susceptible). The model is shown to have a globally stable disease-free equilibrium point whenever the basic reproduction number [Formula: see text] is less than unity. The endemic equilibrium is also shown to be globally stable for [Formula: see text] under some conditions. The spread of the disease is also shown to be highly sensitive to use of PPEs and personal hygiene [Formula: see text] , transmission probability [Formula: see text] , average number of contacts of infected person per unit time (day) [Formula: see text] , the rate at which the exposed develop clinical symptoms [Formula: see text] and the rate of recovery [Formula: see text]. Numerical simulation of the model is also done to illustrate the analytical results established.