A mathematical analysis of the effects of control of plasmodium knowlesi malaria

This paper considers a mathematical model for the spread of plasmodium knowlesi malaria. the model incorporates recruitment of human,mosquito and macaque populations through a constant immigration,with a fraction of infective immigrants. the basic properties of model and equilibriums for the models are analyzed rigorously. the sensitivity analysis of the model is carried out to recognize the most sensitive parameters for the disease transmission. thus,control strategy is presented and studied. optimal control theory is applied to investigate optimal strategies for controlling the spread of the malaria using quarantine,insecticide spray and culling as the control variables. the results obtained from numerical simulation of the model show possible significant reduction of the disease spread using the combine control strategies. © 2015 pakistan journal of statistics.