Optimal Control of a Leptospirosis Epidemic Model

Abstract

In this paper, we extend the mathematical model of leptospirosis disease by considering the interaction of susceptible humans and susceptible vectors with both infected humans and infected vectors. Initially, we present the disease-free and endemic equilibrium points and also the basic reproduction number. Then, we introduce three control strategies by using Pontryagin’s Maximum Principle to derive necessary conditions for the optimal control of the disease. Finally, we discuss the numerical results.