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Pré-publication, Document de travail (preprint/prepublication)

A control strategy for Sterile Insect Techniques using exponentially decreasing releases to avoid the hair-trigger effect

Abstract : In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various deadly diseases like dengue, zika, chikungunya... in a wide area. We use a system of reaction-diffusion equations to model the mosquito population and study the effect of releasing sterile males. Due to the so-called hair-trigger effects, the introduction of only a few individuals can lead to the invasion of mosquitoes in the whole region after some time. To avoid this phenomenon, our strategy is to keep releasing a small number of sterile males in the treated zone and move this release forward to push back the invasive front of wild mosquitoes. By proving a comparison principle for the system and using the traveling wave analysis, we show in the present paper that the strategy succeeds with a finite amount of sterile male mosquitoes. We also provide some numerical illustrations for our results.
Type de document :
Pré-publication, Document de travail (preprint/prepublication)
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https://hal-univ-paris13.archives-ouvertes.fr/hal-03851525
Contributeur : Nga Nguyen Connectez-vous pour contacter le contributeur
Soumis le : lundi 14 novembre 2022 - 15:04:07
Dernière modification le : jeudi 17 novembre 2022 - 03:25:19

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preprint_SIT.pdf
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  • HAL Id : hal-03851525, version 1
  • ARXIV : 2211.07701

Citation

Alexis Léculier, Nga Nguyen. A control strategy for Sterile Insect Techniques using exponentially decreasing releases to avoid the hair-trigger effect. {date}. ⟨hal-03851525⟩

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