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

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  • Amidou Traoré
  • Bedr’Eddine Ainseba
  • Oumar Traoré
  • Valerii Obukhovskii

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.

Suggested Citation

  • Amidou Traoré & Bedr’Eddine Ainseba & Oumar Traoré & Valerii Obukhovskii, 2021. "Null Controllability of a Four Stage and Age-Structured Population Dynamics Model," Journal of Mathematics, Hindawi, vol. 2021, pages 1-17, March.
    • Handle: RePEc:hin:jjmath:5546150
    DOI: 10.1155/2021/5546150
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