Null Controllability of a Four Stage and Age-Structured Population Dynamics Model

Amidou Traoré, Bedr’Eddine Ainseba, Oumar Traoré and Valerii Obukhovskii

Journal of Mathematics, 2021, vol. 2021, 1-17

Abstract: This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions. More precisely, we consider a four-stage model with a second derivative with respect to the age variable. The null controllability is related to the extinction of eggs, larvae, and female population. Thus, we estimate a time T to bring eggs, larvae, and female subpopulation density to zero. Our method combines fixed point theorem and Carleman estimate. We end this work with numerical illustrations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5546150

DOI: 10.1155/2021/5546150

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