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Research Article Open access CC BY 4.0

Optimal Control Model of Malaria Disease with Standard Incidence Rate

Sacrifice Nana-Kyere, Richmond Hede Doe, Francis Agyei Boateng, James Kwabena Odum, Seth Marmah, Desmond Titus Banon

Journal of Advances in Mathematics and Computer Science · pp. 1–21 · Published 3 Aug 2017

10.9734/JAMCS/2017/35011

Abstract

In this research article, an optimal control model of malaria disease with standard incidence rate is proposed. Maximum Principle was employed to derive the necessary conditions for the existence of optimal control. Numerical solution of the optimality was derived and computed to investigate the optimum control strategy that would be efficacious to be implemented in reducing the number of exposed and infected humans.

Pontryagin’s maximum principle Lagrangian Hamiltonain boundary conditions.

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