Minimal cost-time strategies for mosquito population replacement - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Minimal cost-time strategies for mosquito population replacement

Résumé

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.
Fichier principal
Vignette du fichier
ABDP_HAL.pdf (500.87 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02532677 , version 1 (05-04-2020)
hal-02532677 , version 2 (30-04-2020)
hal-02532677 , version 3 (27-11-2020)

Identifiants

  • HAL Id : hal-02532677 , version 2

Citer

Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat. Minimal cost-time strategies for mosquito population replacement. 2020. ⟨hal-02532677v2⟩
316 Consultations
201 Téléchargements

Partager

Gmail Facebook X LinkedIn More