Abstract
In this paper we derive a mathematical model for malaria transmission in population. We use controls on mass treatment and insecticide to reduce the number of infected hosts and infected vectors. The model considers human, larvae and mosquito populations. The host population is assumed constant, but the larvae and vector populations vary. First, we investigated the existence and stability of equilibria of the model without control based on the basic reproduction ratio. Then, the Pontryagins maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically for several scenarios. Mathematics Subject Classication: 92D30, 93A15
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