Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model
Analysis of PDEs
2025-11-18 v1 Dynamical Systems
Adaptation and Self-Organizing Systems
Abstract
This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and implement a tracking control for its emergence. A feedback control law guarantees stabilization of the emergent population density, specifically the global asymptotic stability of the logistic model. Additionally, a feedforward controller combined with feedback is introduced to steer the emergent density toward a time-varying reference trajectory. The analytical findings are corroborated and illustrated by numerical simulations.
Keywords
Cite
@article{arxiv.2511.12289,
title = {Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model},
author = {Marius Bargo and Yacouba Simpore},
journal= {arXiv preprint arXiv:2511.12289},
year = {2025}
}