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

TL;DR

This paper develops a control strategy for an age-structured mosquito model to stabilize and track mosquito emergence, combining feedback and feedforward controls, supported by analytical proofs and simulations.

Contribution

It introduces a novel control approach for aquatic mosquito populations in an age-structured model, ensuring stability and tracking of emergence dynamics.

Findings

Global asymptotic stability of mosquito emergence achieved

Control laws effectively steer population to desired trajectories

Numerical simulations validate analytical results

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.