Extinction Conditions from a One-Sided Competition Model with a Holling Type I Functional Response for the Sterile Insect Technique

• 作者: Adel Trabelsi Anis Dhahbi Yassine Chargui
• 来源期刊: 建模与仿真(英文)
• 学科: 数学
• 关键词: STERILE INSECT Technique Mathematical Model EXTINCTION CONDITIONS
• 年，卷（期）: 2018,（2）
• 页码范围: 13-26
• 页数: 14页
• 分类号: O1

摘要

The Sterile Insect Technique (SIT) is a powerful biological tool to control pest-populations. It could be integrated in management programmes of the Red Palm Weevil (RPW) Rhynchophorus ferrugineus Olivier. This pest threatens seriously date palms particularly in Saudi Arabia. As a matter of fact, the use of SIT has been very efficient in controlling RPW populations in coconut gardens in various countries. In this work, we outline the extinction conditions of a target wild-population using a one-sided competition model to describe its competition with released sterile insects. We employ a Holling type I functional response to describe the sterile-fertile one-sided competition and we consider two intra-specific competition sub-models, with and without Allee Effect, in modelling the growth of the wild-type population. We also study two manners of liberating sterile insects: single and periodic release strategies.