Backstepping control for the sterile mosquitoes technique: stabilization of extinction equilibrium

TL;DR

This paper develops a backstepping control method to stabilize mosquito populations at extinction using sterile insect releases, validated through simulations on simplified and complete models.

Contribution

It introduces a novel backstepping control law for mosquito population eradication, ensuring global stability of the extinction equilibrium.

Findings

The control law guarantees global stabilization of the mosquito population.

Simulation results confirm effectiveness on both reduced and full models.

The approach offers a systematic method for sterile insect technique management.

Abstract

The control of a mosquito population using the sterile insect technique is considered. Building on a model-based approach, where the control input is the release rate of sterilized males, we propose a non-negative backstepping control law capable of globally stabilizing the extinction equilibrium of the system. A simulation study supports and validates the theoretical findings, showing the efficacy of the approach both on a reduced model, used for control design, and on a complete model of the mosquito population dynamics.