Costello, W.G. and Taylor, H.M. (1975) Mathematical Models of the Sterile Male Technique of Insect Control. In: Charnes, A. and Lynn, W.R., Eds., Mathematical Analysis of Decision Problems in Ecology, Springer, Berlin, Heidelberg, 318-359.
https://doi.org/10.1007/978-3-642-80924-8_12

has been cited by the following article:

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

  AUTHORS: Yassine Chargui, Anis Dhahbi, Adel Trabelsi

  KEYWORDS: Sterile Insect Technique, Mathematical Model, Extinction Conditions

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.6 No.2, April 4, 2018

  ABSTRACT: 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.