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In this paper, optimal control theory is applied to a system of ordinary differential equations representing a dysentery diarrhea epidemic. Optimal control strategies are proposed to reduce the number of infected humans and the cost of interventions. The Pontryagin’s maximum principle is employed to find the necessary conditions for the existence of the optimal controls. Runge- Kutta forward-backward sweep numerical approximation method is used to solve the optimal control system. The incremental costeffectiveness analysis technique is used to determine the most cost-effective strategy.We observe that the control measure implementing sanitation and education campaign is the most efficient and cost-effective.

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