Saturated control robust to additive perturbations for the sterile insect technique
Year: 2026
Type: preprint
Abstract: This paper develops saturated state-feedback control laws for a nonlinear mosquito population model used in the sterile insect technique (SIT). Building on previous monotone-systems-based designs, we construct state feedback strategies that guarantee elimination of the wild population while preventing the excessively large release peaks associated with unsaturated control. The proposed laws enforce a sterile-to-wild male ratio sufficient to drive the apparent offspring number below one, ensuring global exponential convergence to the extinction equilibrium. We further analyze robustness to additive perturbations representing immigration of fertile insects. In this setting, we characterize the smallest equilibrium compatible with persistent migration and show that the saturated feedback laws drive the system arbitrarily close to this tight bound. The results provide implementable, biologically meaningful SIT strategies that ensure elimination in closed environments and controlled reduction under migration.
Source: HAL
Authors: Bhaya, Amit, Bliman, Pierre-Alexandre
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
SDG: Life on land
Open Access status: green
OpenAlex ID: W7167867090