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Optimal release strategies for mosquito population replacement

Luis Almeida 1 Jesús Bellver Arnau 1 Yannick Privat 2
1 MAMBA - Modelling and Analysis for Medical and Biological Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
Abstract : Vector-borne diseases, in particular arboviruses, represent a major threat to human health. In the fight against these viruses, the endosymbiotic bacterium Wolbachia has become in recent years a promising tool as it has been shown to prevent the transmission of some of these viruses between mosquitoes and humans. In this work, we investigate optimal population replacement strategies, which consists in replacing optimally the wild population by a population carrying the aforementioned bacterium, making less likely the appearance of outbreaks of these diseases. We consider a two species model taking into account both wild and Wolbachia infected mosquitoes. To control the system, we introduce a term representing an artificial introduction of Wolbachia-infected mosquitoes. Assuming a high birth rate, we reduce the model to a simpler one regarding the proportion of infected mosquitoes. We study strategies optimizing a convex combination either of cost and time or cost and final proportion of mosquitoes in the population. We fully analyze each of the introduced problem families, proving a time monotonicity property on the proportion of infected mosquitoes and using a reformulation of the problem based on a suitable change of variable.
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https://hal.archives-ouvertes.fr/hal-03212761
Contributor : Yannick Privat <>
Submitted on : Thursday, April 29, 2021 - 11:26:32 PM
Last modification on : Thursday, May 6, 2021 - 2:49:46 PM

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  • HAL Id : hal-03212761, version 1

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Luis Almeida, Jesús Bellver Arnau, Yannick Privat. Optimal release strategies for mosquito population replacement. 2021. ⟨hal-03212761⟩

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