Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 81, pp. 1-22.

Title: Application of optimal control to the epidemiology of malaria

Authors: Folashade B. Agusto (Austin Peay State Univ., TN, USA)
         Nizar Marcus (Univ. of the Western Cape, South Africa)
	 Kazeem O. Okosun (Vaal Univ. of Technology, South Africa)
	 
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.