IDEAS home Printed from https://ideas.repec.org/h/spr/lnechp/978-3-319-75169-6_20.html
   My bibliography  Save this book chapter

Some Regional Control Problems for Population Dynamics

In: Control Systems and Mathematical Methods in Economics

Author

Listed:
  • Laura-Iulia Aniţa

    (“Alexandru Ioan Cuza” University of Iaşi)

  • Sebastian Aniţa

    (“Alexandru Ioan Cuza” University of Iaşi
    “Octav Mayer” Institute of Mathematics of the Romanian Academy)

  • Vincenzo Capasso

    (Universitá degli Studi di Milano)

  • Ana-Maria Moşneagu

    (“Alexandru Ioan Cuza” University of Iaşi)

Abstract

This paper deals with some control problems related to structured population dynamics with diffusion. Firstly, we investigate the regional control for an optimal harvesting problem (the control acts in a subregion ω of the whole domain Ω). Using the necessary optimality conditions, for a fixed ω, we get the structure of the harvesting effort which gives the maximum harvest; with this optimal effort we investigate the best choice of the subregion ω in order to maximize the harvest. We introduce an iterative numerical method to increase the total harvest at each iteration by changing the subregion where the effort acts. Numerical tests are used to illustrate the effectiveness of the theoretical results. We also consider the problem of eradication of an age-structured pest population dynamics with diffusion and logistic term, which is a zero-stabilization problem with constraints. We derive a necessary condition and a sufficient condition for zero-stabilizability. We formulate a related optimal control problem which takes into account the cost of intervention in the subregion ω.

Suggested Citation

  • Laura-Iulia Aniţa & Sebastian Aniţa & Vincenzo Capasso & Ana-Maria Moşneagu, 2018. "Some Regional Control Problems for Population Dynamics," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 419-439, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-75169-6_20
    DOI: 10.1007/978-3-319-75169-6_20
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    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:lnechp:978-3-319-75169-6_20. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.