On the control and analysis of a mathematical model covid-19 with bats and human compartments

Abstract

In this paper, we propose a mathematical model that describes the dynamics of transmission of the COVID-19 between potential people and infected ones, as well as between bats as virus carriers and people. This article deals with optimal control applied to vaccination, treatment strategies, and the hunt for an SIR-B epidemic model with logistic growth. The global stability of the disease free and the endemic equilibrium is verified. The existence of optimal control is demonstrated. The Pontryagin maximum principle is employed to describe these optimal controls. To validate our previous theoretical results, the optimality system is numerically resolved using a Matlab algorithm based on the Runge Kutta approximation.