IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v157y2013i3d10.1007_s10957-012-0194-3.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-012-0194-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-012-0194-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gustav Feichtinger & Vladimir Veliov & Tsvetomir Tsachev, 2004. "Maximum Principle For Age And Duration Structured Systems: A Tool For Optimal Prevention And Treatment Of Hiv," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(1), pages 3-28.
    2. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," Working Papers halshs-01982243, HAL.
    3. Goetz, Renan-Ulrich & Hritonenko, Natali & Yatsenko, Yuri, 2008. "The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 3032-3053, September.
    4. Sakine Esmaili & Mohammad Reza Eslahchi, 2017. "Optimal Control for a Parabolic–Hyperbolic Free Boundary Problem Modeling the Growth of Tumor with Drug Application," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 1013-1041, June.
    5. Hidekazu Yoshioka & Yuta Yaegashi, 2020. "A growth rate control problem of harmful species population and its application to algae bloom," Environment Systems and Decisions, Springer, vol. 40(1), pages 107-124, March.
    6. Natali Hritonenko & Yuri Yatsenko, 2010. "Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability," Mathematical Population Studies, Taylor & Francis Journals, vol. 17(4), pages 191-214.
    7. M. Iannelli & G. Marinoschi, 2009. "Harvesting Control for an Age-Structured Population in a Multilayered Habitat," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 107-124, July.
    8. Natali Hritonenko & Yuri Yatsenko, 2006. "Optimization of Harvesting Return from Age-Structured Population," Journal of Bioeconomics, Springer, vol. 8(2), pages 167-179, August.
    9. Chahrazed Benosman & Bedr’Eddine Aïnseba & Arnaud Ducrot, 2015. "Optimization of Cytostatic Leukemia Therapy in an Advection–Reaction–Diffusion Model," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 296-325, October.
    10. Natali Hritonenko & Nobuyuki Kato & Yuri Yatsenko, 2017. "Optimal Control of Investments in Old and New Capital Under Improving Technology," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 247-266, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:157:y:2013:i:3:d:10.1007_s10957-012-0194-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.