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Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide. (English) Zbl 1180.92058
Summary: We present a mathematical model to describe the dynamics of a mosquito population when sterile male mosquitoes (produced by irradiation) are introduced as a biological control, besides the application of insecticides. In order to analyze the minimal effort to reduce the fertile female mosquitoes, we search for optimal control considering the cost of insecticide application, the cost of the production of irradiated mosquitoes and their delivery as well as the social cost (proportional to the number of fertilized females mosquitoes). The optimal control is obtained by applying the Pontryagin’s maximum principle.

MSC:
92C60 Medical epidemiology
49N90 Applications of optimal control and differential games
92D30 Epidemiology
Software:
bvp4c; Matlab; COLNEW
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