Folashade B. Agusto, Nizar Marcus, Kazeem O. Okosun
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.
Submitted July 2, 2010. Published May 22, 2012.
Math Subject Classifications: 92B05, 93A30, 93C15.
Key Words: Malaria; optimal control; insecticide treated bed nets;
mosquito insecticide.
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Folashade B. Agusto Department of Mathematics and Statistics Austin Peay State University Clarksville, Tennessee 37044, USA email: fbagusto@gmail.com |
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Nizar Marcus Department of Mathematics and Applied Mathematics University of the Western Cape, South Africa email: nmarcus@uwc.ac.za |
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Kaseem O. Okosun Department of Mathematics Vaal University of Technology Private Bag X021, Vanderbijlpark, 1900, South Africa email: kazeemoare@gmail.com |
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