SAMS Subject Classification Number: 10, 23, 25

The rapid global spread of coronavirus disease in 2019 (COVID-19) which is a severe acute respiratory infection, has become a major public health crisis and a calamity to global economy. In this paper, a compartmental deterministic model of COVID-19 disease transmission dynamics, its economic impact and appropriate control strategies are proposed and analysed both qualitatively (using the stability theory of differential equations, Pontraygin’s maximum principle and cost effectiveness analysis) and numerically via variation iteration method (VIM) and 4th order Runge-Kutta integration scheme. Obtained pertinent results are displayed graphically and discussed quantitatively.