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Exact Null Controllability of a Stage and Age-Structured Population Dynamics System

Author

Listed:
  • Yuan He

    (UMR CNRS 5251, Université de Bordeaux
    Lanzhou University)

  • Bedr’Eddine Ainseba

    (UMR CNRS 5251, Université de Bordeaux)

Abstract

This paper is concerned with the exact null controllability of an age-dependent life cycle dynamics with nonlocal transition processes arising as boundary conditions. We investigate the controllability for the pest by acting on eggs in a small age interval. The main method is based on the derivation of estimations for the adjoint variables related to an optimal control problem. A fixed point theorem is then used to draw conclusions.

Suggested Citation

  • Yuan He & Bedr’Eddine Ainseba, 2013. "Exact Null Controllability of a Stage and Age-Structured Population Dynamics System," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 918-933, June.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:3:d:10.1007_s10957-012-0194-3
    DOI: 10.1007/s10957-012-0194-3
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    References listed on IDEAS

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    1. V. Barbu & M. Iannelli, 1999. "Optimal Control of Population Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 1-14, July.
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    Cited by:

    1. Mohamed A. Sana & Somdouda Sawadogo & Sadou Tao, 2022. "Optimal Control for a Degenerate Population Model in Divergence Form With Incomplete Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(4), pages 1-65, November.

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