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Journal Articles Journal of Differential Equations Year : 2022

Optimal control strategies for the sterile mosquitoes technique

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Abstract

Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile insect technique (SIT), which consists in a massive release of sterilized male mosquitoes. This strategy aims at reducing the total population over time, and has the advantage being specific to the targeted species, unlike the use of pesticides. In this article, we study the optimal release strategies in order to maximize the efficiency of this technique. We consider simplified models that describe the dynamics of eggs, males, females and sterile males in order to optimize the release protocol. We determine in a precise way optimal strategies, which allows us to tackle numerically the underlying optimization problem in a very simple way. We also present some numerical simulations to illustrate our results.
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Dates and versions

hal-02995414 , version 1 (09-11-2020)
hal-02995414 , version 2 (11-11-2020)
hal-02995414 , version 3 (02-03-2021)
hal-02995414 , version 4 (15-11-2021)

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Cite

Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Optimal control strategies for the sterile mosquitoes technique. Journal of Differential Equations, 2022, 311, pp.229-266. ⟨10.1016/j.jde.2021.12.002⟩. ⟨hal-02995414v4⟩
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