Null Controllability of a Four Stage and Age-Structured Population Dynamics Model. (31st March 2021)

• Record Type: Journal Article
• Authors: Traoré, Amidou; Ainseba, Bedr'Eddine; Traoré, Oumar
• Other Names: Obukhovskii Valerii Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-03-31
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/5546150
• Languages: English
• ISSNs: 2314-4629

Abstract

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.