Mathematical modelling for practical application of Sterile Insect Technique

Abstract : Vector control, like sterile insect technique (SIT), is essential to reduce the risk of vector-borne diseases [3]. SIT control generally consists of massive releases of sterile insects in the targeted area in order to reach elimination or to lower the pest population under a certain threshold. The model presented here is minimalistic with respect to the number of parameters and variables. However, it yields the same qualitative behavior of the insect population with SIT control, as more complicated models like in [1, 2, 3]. More precisely, as in mentioned models, our minimalistic SIT model has two stable equilibria. Practically, massive releases of sterile males are only possible for a short period of time. That is why, using the bistability property, we develop a new strategy to maintain the wild population under a certain threshold, for a sustainable low level of SIT control. We illustrate our theoretical results with numerical simulations, in the case of SIT mosquito control.
Liste complète des métadonnées

https://hal.umontpellier.fr/hal-02308002
Contributeur : Yannick Brohard <>
Soumis le : mardi 8 octobre 2019 - 11:07:47
Dernière modification le : lundi 9 décembre 2019 - 11:58:05

Identifiants

  • HAL Id : hal-02308002, version 1

Citation

Roumen Anguelov, Yves Dumont, Valaire Djeumen Yatat. Mathematical modelling for practical application of Sterile Insect Technique. SANUM 2019, Mar 2019, Pretoria, South Africa. ⟨hal-02308002⟩

Partager

Métriques

Consultations de la notice

15