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Application of optimal control to the epidemiology of malaria
Agusto, Folashade B. Marcus, Nizar Okosun, Kaseem O.
Agusto, Folashade B.
Marcus, Nizar
Okosun, Kaseem O.
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Abstract
Malaria is a deadly disease transmitted to humans through the bite of infected female mosquitoes. In this paper a deterministic system of differential equations is presented and studied for the transmission of malaria. Then optimal control theory is applied to investigate optimal strategies for controlling the spread of malaria disease using treatment, insecticide treated bed nets and spray of mosquito insecticide as the system control variables. The possible impact of using combinations of the three controls either one at a time or two at a time on the spread of the disease is also examined.
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Date
2012
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Texas State University, Department of Mathematics
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Keywords
Malaria, Optimal control, Insecticide treated bed nets, Mosquito insecticide
Citation
Agusto, F. B., Marcus, N., & Okosun, K. O. (2012). Application of optimal control to the epidemiology of malaria. Electronic Journal of Differential Equations, 2012(81), 1-22.