On the use of Traveling Waves for Pest/Vector elimination using the Sterile Insect Technique - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

On the use of Traveling Waves for Pest/Vector elimination using the Sterile Insect Technique

Résumé

The development of sustainable vector/pest control methods is of utmost importance to reduce the risk of vector-borne diseases and pest damages on crops. Among them, the Sterile Insect Technique (SIT) is a very promising one. In this paper, using diffusion operators, we extend a temporal SIT model, developed in a recent paper, into a partially degenerate reaction-diffusion SIT model. Adapting some theoretical results on traveling wave solutions for partially degenerate reaction-diffusion equations, we show the existence of mono-stable and bi-stable traveling-wave solutions for our SIT system. The dynamics of our system is driven by a SIT-threshold number above which the SIT control becomes effective and drives the system to elimination, using massive releases. When the amount of sterile males is lower than the SIT-threshold, the SIT model experiences a strong Allee effect such that a bi-stable traveling wave solution can exist and can also be used to derive an effective long term strategy, mixing massive and small releases. We illustrate some of our theoretical results with numerical simulations , and, also explore numerically spatial-localized SIT control strategies, using massive and small releases. We show that this "corridor" strategy can be efficient to block an invasion and eventually can be used to push back the front of a vector/pest invasion.
Fichier principal
Vignette du fichier
Travelling_Waves_TIS_PDE_arXiv.pdf (1.88 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02955417 , version 1 (01-10-2020)

Identifiants

  • HAL Id : hal-02955417 , version 1

Citer

Roumen Anguelov, Yves Dumont, Ivric Valaire Yatat Djeumen. On the use of Traveling Waves for Pest/Vector elimination using the Sterile Insect Technique. 2020. ⟨hal-02955417⟩
90 Consultations
47 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More