Optimal Control Model of Malaria Disease with Standard Incidence Rate
Sacrifice Nana-Kyere *
Department of Mathematics, Valley View University, Kumasi Campus, Kwadaso, Ghana.
Richmond Hede Doe
Department of Mathematics, Valley View University, Kumasi Campus, Kwadaso, Ghana.
Francis Agyei Boateng
Department of Mathematics, Valley View University, Kumasi Campus, Kwadaso, Ghana.
James Kwabena Odum
Department of Mathematics, Catholic University, Sunyani, Ghana.
Seth Marmah
Department of Mathematics, Methodist Senior High School, Berekum, Ghana.
Desmond Titus Banon
Department of Planning and Budgeting, Dormaa East District Assembly, Wamfie, Ghana.
*Author to whom correspondence should be addressed.
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.
Keywords: Pontryagin’s maximum principle, Lagrangian, Hamiltonain, boundary conditions.