Global stabilization of a Sterile Insect Technique model by feedback laws

TL;DR

This paper develops explicit feedback control laws to globally stabilize pest populations at extinction using the Sterile Insect Technique, demonstrating their effectiveness through numerical simulations.

Contribution

It introduces novel explicit feedback laws for the global stabilization of pest populations in SIT models, enhancing pest control strategies.

Findings

Feedback laws successfully stabilize pest populations at extinction

Numerical simulations confirm the effectiveness of the proposed control laws

The method offers an ecological alternative for pest management

Abstract

This work concerns feedback global stabilization of the sterile insect technique dynamics. The Sterile Insect Technique (SIT) is presently one of the most ecological methods for controlling insect pests responsible for crop destruction and disease transmission worldwide. This technique consists in releasing sterile males among the insect pest population, the aim being to reduce fertility and, consequently, reduce significantly the wild insect population after a few generations.</p><p>In this work, we study the global stabilization of a pest population at extinction equilibrium by the SIT method and construct explicit feedback laws that stabilize the model. Numerical simulations show the efficiency of our feedback laws.