Anguelov Roumen, Dumont Yves, Yatat Djeumen Ivric Valaire. 2020. Sustainable vector/pest control using the permanent sterile insect technique. Mathematical Methods in the Applied Sciences, 43 (18), n.spéc BIOMATH 2019 : 10391-10412.
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Quartile : Q1, Sujet : MATHEMATICS, APPLIED
Résumé : Vector/pest control is essential to reduce the risk of vector‐borne diseases or losses in crops. Among all biological control tools, the sterile insect technique (SIT), which consists of massive releases of sterile insects to reach elimination or to lower a vector/pest population under a certain threshold, is the most promising one. The models presented here are minimalistic with respect to the number of parameters and variables. The first model deals with the dynamics of the vector population, while the second model tackles the interaction between treated males and wild female vectors. For the vector population model, equilibrium 0 is globally asymptotically stable when the basic offspring number, ℛ≤1, whereas 0 becomes unstable and one stable positive equilibrium exists, with well‐determined basins of attraction, when ℛ>1. For the SIT model, we obtain a threshold number of treated males above which the control of wild population is effective using massive releases. When the amount of treated males is lower than the aforementioned threshold, the SIT model experiences a strong Allee effect, that is, 0 becomes locally asymptotically stable, while a positive equilibrium still exists. Practically, massive releases of sterile males are only possible for a short period. That is why using the Allee effect, we develop a new strategy to maintain the wild population under a certain threshold, for a permanent and sustainable low level of SIT control. We illustrate our theoretical results with numerical simulations. In particular, we study the combination of SIT with other control tools, like mechanical control and adulticide.
Mots-clés Agrovoc : lâcher d'insectes stériles, lutte anti-insecte, lutte antiravageur, maladie transmise par vecteur, méthode de lutte
Mots-clés complémentaires : Effet Allee
Mots-clés libres : Sterile Insect Technique, Pest control, Monotone system, Strong Allee effect, Ordinary differential equation, Numerical simulations, Vector control
Classification Agris : H10 - Ravageurs des plantes
L72 - Organismes nuisibles des animaux
L73 - Maladies des animaux
Champ stratégique Cirad : CTS 4 (2019-) - Santé des plantes, des animaux et des écosystèmes
Agences de financement européennes : European Regional Development Fund
Auteurs et affiliations
- Anguelov Roumen, University of Pretoria (ZAF)
- Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
- Yatat Djeumen Ivric Valaire, University of Pretoria (ZAF) - auteur correspondant
Source : Cirad-Agritrop (https://agritrop.cirad.fr/595510/)
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