Some linear feedback laws for stabilisation of sterile insect technique control system

Abstract

The implementation of the Sterile Insect Technique (SIT) to manage a target population has been the focus of numerous recent scientific studies. The present work focuses on a feedback law that depends linearly on the state variables of the SIT control system. We provide both mathematical proof and numerical illustrations demonstrating the global asymptotic stability of the population to zero when releasing a number of sterile insects proportional to different state variables of the SIT model.

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