An optimal control strategy to reduce the spread of malaria resistance.
This paper presents a mathematical model of malaria transmission considering the resistance of malaria parasites to the anti-malarial drugs. The model also incorporates mass treatment and insecticide as control strategies. We consider the sensitive and resistant strains of malaria parasites in human and mosquito populations. First, we investigated the existence and stability of equilibria of the model without control based on two basic reproduction ratios corresponding to the strains. Then, the Pontryagins Maximum Principle is applied to derive the necessary conditions for optimal control. Simulation results show the effectiveness of the optimal control to reduce the number of infected hosts and vectors.
['Fatmawati|||', 'Tasman|Hengki|H|']
D000818:Animals D000962:Antimalarials D003198:Computer Simulation D009033:Culicidae D004351:Drug Resistance D006801:Humans D007306:Insecticides D008288:Malaria D055641:Mathematical Concepts D008954:Models, Biological
Optimal control Malaria resistance Mathematical model Basic reproduction ratio