Author(s)

Yassine Chargui^1,2, Anis Dhahbi^1,2, Adel Trabelsi²

¹Physics Department, College of Science and Arts at Ar Rass, Qassim University, Ar Rass, Saudi Arabia.
²Unité de Recherche de Physique Nucléaire et des Hautes Energies, Faculté des Sciences de Tunis, Université de Tunis El Manar, Tunis, Tunisie.

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.

Sterile Insect Technique, Mathematical Model, Extinction Conditions

Chargui, Y. , Dhahbi, A. and Trabelsi, A. (2018) Extinction Conditions from a One-Sided Competition Model with a Holling Type I Functional Response for the Sterile Insect Technique. Open Journal of Modelling and Simulation, 6, 13-26. doi: 10.4236/ojmsi.2018.62002.