Optimal control analysis of the model novel coronavirus with effect of lock-down

Abstract

In this paper, we extend a Susceptible-Lock-down-Infective-Recovered-Environmental Reservoir (SLIRV) model of novel coronavirus with effect of lock-down to optimal control problem. We use Hamilton and Lagrangian formulations to investigate the existence of optimum control. The control variables in the optimal control model are described by Pontryagin's Maximum Principle. The objective function is aimed at reducing both infection and intervention costs. Matlab 2013 is used for numerical simulation to validate the results of the control variables.