Optimal control of an age-structured problem modelling mosquito plasticity

TL;DR

This paper develops an optimal control framework for an age-structured mosquito model, proving solution existence, establishing optimal harvesting strategies, and deriving necessary conditions for control.

Contribution

It introduces a novel optimal control approach for a biologically motivated age-structured mosquito model, including existence proofs and optimality conditions.

Findings

Existence of solutions for the age-structured model

Existence of optimal harvesting control

Derivation of necessary optimality conditions

Abstract

In this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, we prove the existence of the optimal control for the best harvesting. Finally, we establish necessary optimality conditions.