About sterile insect control strategies in a two patches system

Dumont Yves, Duprez Michel, Privat Yannick. 2023. About sterile insect control strategies in a two patches system. In : Conference abstracts of BIOMATH 2023. University of Pretoria, Institut of Mathematics and Informatics. Pretoria : University of Pretoria, 2 p. BIOMATH 2023: Annual International Conference on Mathematical Methods and Models in Biosciences, Pomorie, Bulgarie, 18 Juin 2023/23 Juin 2023.

Résumé : Sterile Insect Technique is an autocidal method to control Vector of diseases and crop pest. It consists of releasing males sterilized by ionization, in a targeted area, that will mate with the wild females, resulting in a reduce, eventually a local elimination, of the wild population. However, migration of wild insects, from a non-targeted area, can be problematic and reduce the efficiency of SIT [l ]. The control strategies should be adapted to take this issue into account. We consider a two patches system, where Patch 1 is the targeted area linked to another area, Patch 2, that needs not to be controlled. Wild and sterile insects can circulate between the two Patches, so that different issues have to be solved. Is it possible to find one or several strategies, and among them an optimal strategy, to reach elimination in patch 1? Should we control both patches? Using results related to monotone cooperative systems [2] and also tools from optimal control theory, we will show some theoretical responses [3]. We will also illustrate the theoretical results with numerical simulations and discuss the extension of our results.

Mots-clés libres : Sterile Insect Technique, Mathematical modelling, Metapopulation model, Qualitative analysis, Optimal control, Bactrocera dorsalis, Aedes albopictus

Auteurs et affiliations

• Dumont Yves, CIRAD-BIOS-UMR AMAP (REU) ORCID: 0000-0003-4817-685X
• Duprez Michel, INRIA (FRA)
• Privat Yannick, Université de Strasbourg (FRA)

Source : Cirad-Agritrop (https://agritrop.cirad.fr/605154/)

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