Optimal Control Model of Wolbachia Transinfection Targeting Vector Population

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:feiniao6688
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  Wolbachia is a vertically transmitted bacterial symbiont capable to reduce the virus transmission in insect hosts.Recently,Wolbachia-based biological control has been proposed for suppressing the transmissibility of vector-borne diseases.In this presentation,we propose a mathematical model for Wolbachia transinfection targeting the wild population of Aedes aegypti mosquitoes,the principal vector of dengue.The model is formulated in term of optimal control,where the control variable stands for the rate of release of Wolbachia-infected mosquitoes.The purpose of control is to maximize the density of Wolbachia-infected mosquitoes while minimizing the overall number of dengue-infected people together with the total interventions costs.Our approach allows to identify the model parameters(linked to the biological features of Wolbachia)which affect the mosquito's ability to develop and transmit the virus and which also facilitate the pervasiveness and persistence of Wolbachia infection among mosquito population.
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