Implementation of control strategies for sterile insect techniques

Bliman Pierre-Alexandre, Cardona-Salgado Daiver, Dumont Yves, Vasilieva Olga. 2019. Implementation of control strategies for sterile insect techniques. Mathematical Biosciences, 314 : 43-60.

https://doi.org/10.1016/j.mbs.2019.06.002

Article de revue ; Article de recherche ; Article de revue à facteur d'impact

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Quartile : Q3, Sujet : MATHEMATICAL & COMPUTATIONAL BIOLOGY / Quartile : Q3, Sujet : BIOLOGY

Résumé : In this paper, we propose a sex-structured entomological model that serves as a basis for design of control strategies relying on releases of sterile male mosquitoes (Aedes spp) and aiming at elimination of the wild vector population in some target locality. We consider different types of releases (constant and periodic impulsive), providing sufficient conditions to reach elimination. However, the main part of the paper is focused on the study of the periodic impulsive control in different situations. When the size of wild mosquito population cannot be assessed in real time, we propose the so-called open-loop control strategy that relies on periodic impulsive releases of sterile males with constant release size. Under this control mode, global convergence towards the mosquito-free equilibrium is proved on the grounds of sufficient condition that relates the size and frequency of releases. If periodic assessments (either synchronized with the releases or more sparse) of the wild population size are available in real time, we propose the so-called closed-loop control strategy, under which the release size is adjusted in accordance with the wild population size estimate. Finally, we propose a mixed control strategy that combines open-loop and closed-loop strategies. This control mode renders the best result, in terms of overall time needed to reach elimination and the number of releases to be effectively carried out during the whole release campaign, while requiring for a reasonable amount of released sterile insects.

Mots-clés Agrovoc : Aedes, lutte biologique, stérilisation, modèle mathématique, analyse quantitative

Mots-clés libres : Technique de l'insecte stérile, Sterile insect technique, Mathematical modelling, Biocontrol, Control strategy, Qualitative analysis, Numerical simulations, Impulsive release, Impulsive differential equation, Open-loop control, Closed-loop control