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arXiv · 2511.12289

Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model

Marius Bargo·Yacouba Simpore
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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.

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Marius Bargo, Yacouba Simpore. 2025-11-15. Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model. https://arxiv.org/abs/2511.12289

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