Optimal control analysis of the malaria model with saturated treatment

Abstract

Malaria is a disease which is transmitted through the bite of an infected Anopheles mosquito. According to WHO report, 400.000 people die worldwide from malaria disease annually. We extend a Susceptible-Infective-Susceptible (SIS) model of malaria transmission with saturated treatment to optimal control problem. Pontryagin’s Maximum Principle is used to study this optimal control problem and to derive the necessary conditions for the time dependent optimal control. In this paper we discuss different types of strategies to find the suitable cost-effective strategy to reduce the number of malaria infectives in a desired interval of time.