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Minimal cost-time strategies for mosquito population replacement

Abstract : Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium \textit{Wolbachia} has proven effective in preventing the transmission of some of these viruses between mosquitoes and humans, making it a promising control tool. The population replacement technique we consider consists in replacing the wild population by a population carrying the aforementioned bacterium, thereby preventing outbreaks of the associated vector-borne diseases. In this work, we consider a two species model incorporating both Wolbachia infected and wild mosquitoes. Our system can be controlled thanks to a term representing an artificial introduction of Wolbachia-infected mosquitoes. Under the assumption that the birth rate of mosquitoes is high, we may reduce the model to a simpler one regarding the proportion of infected mosquitoes. We investigate minimal cost-time strategies to achieve a population replacement both analytically and numerically for the simplified 1D model and only numerically for the full 2D system.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02532677
Contributor : Yannick Privat <>
Submitted on : Friday, November 27, 2020 - 11:45:36 AM
Last modification on : Tuesday, December 8, 2020 - 3:35:25 AM

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  • HAL Id : hal-02532677, version 3

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Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat. Minimal cost-time strategies for mosquito population replacement. 2020. ⟨hal-02532677v3⟩

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