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

2025/11/15 by Marius Bargo, Bargo, Marius, Yacouba Simporé +1
Medicine · Neuroscience · #Mathematical and Theoretical Epidemiology and Ecology Models #Neurobiology and Insect Physiology Research #Mosquito-borne diseases and control

paper · pdf · doi:10.48550/arxiv.2511.12289

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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