Mathematical study aiming at adopting an effective strategy to coexist with coronavirus pandemic

Abstract

In this paper, we propose a discrete mathematical model that describes the evolution of the ”covid-19” virus in a human population and the efforts made to control it. Our objective is to develop a simple, logical and an optimal strategy to reduce the negative impact of this infectious disease on countries. This objective is achieved through maximizing the number of people applying the preventive measures recommended by WHO against the pandemic in order to reduce the infection as much as possible. The tools of optimal control theory were used in this study, in particular Pontryagin’s maximum principle.