A One-Sided Competition Mathematical Model for the Sterile Insect Technique

Anis Ben Dhahbi,Salah Mahmoud Boulaaras,Yassine Chargui,Sana Ben Khalifa

doi:10.1155/2020/6246808

Abstract

We study a simple mathematical model describing the dynamics of a wild-type pest insects population experiencing competition from sterile insects (one-sided competition). This model can be used for conceiving control strategies based on the Sterile Insect Technique (SIT) or the Incompatible Insect Technique (IIT), aiming to reduce or eradicate Red Palm Weevil (RPW) populations in some target regions. We show that suppression may occur for continuous and periodic release strategies for various intraspecific and interspecific submodels except in the case of a single release strategy where a strong Allee effect is required.

Highlights

Over the past few decades, there has been an increasing interest in the effectiveness of the biological methods for the control of insect pests
[1, 2] and collaborators, relies on the release of a large number of sterilized males, without affecting their ability to mate. These released insects compete for mates with the wild-type males, and any wild-type female inseminated by a sterile male has no progeny
If sufficient sterile males are released for a long enough period, most of the wild-type females in the field mate with the released sterile males and produce no viable offspring

Summary

A One-Sided Competition Mathematical Model for the Sterile

Anis Ben Dhahbi, Yassine Chargui, Salah Mahmoud Boulaaras ,3,4 and Sana Ben Khalifa 1,5. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO) University of Oran Ahmed Benbella, Oran, Algeria. Laboratory of Energy and Materials (LabEM), ESSTHS, University of Sousse, 4011 H. We study a simple mathematical model describing the dynamics of a wild-type pest insects population experiencing competition from sterile insects (one-sided competition). This model can be used for conceiving control strategies based on the Sterile Insect. Technique (SIT) or the Incompatible Insect Technique (IIT), aiming to reduce or eradicate Red Palm Weevil (RPW) populations in some target regions. We show that suppression may occur for continuous and periodic release strategies for various intraspecific and interspecific submodels except in the case of a single release strategy where a strong Allee effect is required

Introduction

Model Formulation

Extinction Condition

Mass Release Strategies

Limitations of the Model

Discussion and Conclusion