Optimal Control Approach for Implementation of Sterile Insect Techniques

Pierre-Alexandre Bliman (1) , Daiver Cardona-Salgado (2) , Yves Dumont (3, 4, 5) , Olga Vasilieva (6)

1 MAMBA - Modelling and Analysis for Medical and Biological Applications
2 UAO - Universidad Autónoma de Occidente
3 University of Pretoria [South Africa]
4 UMR AMAP - Botanique et Modélisation de l'Architecture des Plantes et des Végétations
5 Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement
6 Univalle - Universidad del Valle [Cali]

The vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the sterile insect technique (SIT) is one of the most promising. However, SIT-control campaigns must be carefully planned in advance in order to render desirable outcomes. In this paper, we design SIT-control intervention programs that can avoid the real-time monitoring of the wild population and require to mass-rear a minimal overall number of sterile insects, in order to induce a local elimination of the wild population in the shortest time. Continuous-time release programs are obtained by applying an optimal control approach, and then laying the groundwork of more practical SIT-control programs consisting of periodic impulsive releases.

Mots clés: Open-loop control; Periodic impulsive control; Vector control; Sterile insect technique; Pest control; Optimal control

Domaines: Optimisation et contrôle [math.OC]; Mathématiques [math]; Sciences de l'environnement

Pierre-Alexandre Bliman, Daiver Cardona-Salgado, Yves Dumont, Olga Vasilieva. Optimal Control Approach for Implementation of Sterile Insect Techniques. Itogi nauki i tehniki. Seriâ, Sovremennye problemy matematiki, fundamentalʹnye napravleniâ, 2020, 183, pp.35-51. ⟨hal-02418508⟩