IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v198y2023i1d10.1007_s10957-023-02225-0.html
   My bibliography  Save this article

Optimization of a Prey–Predator Model with Hysteresis and Convection

Author

Listed:
  • Chen Bin

    (Huaqiao University)

  • Xiao Yu Liang

    (Huaqiao University)

  • Emil Minchev

    (Hikari Ltd)

  • Sergey A. Timoshin

    (Huaqiao University
    Russian Academy of Sciences)

Abstract

A nonconvex optimal control problem for a partial differential system is proposed and analyzed. Our nonlinear control system can be interpreted in the population dynamics framework when, along with diffusional, hysteretic and migratory effects in the evolution of biological species are accounted for. We prove the existence of a nearly optimal solution to the optimization problem through relaxation-type properties; we establish for the underlying minimizing cost functional and control system.

Suggested Citation

  • Chen Bin & Xiao Yu Liang & Emil Minchev & Sergey A. Timoshin, 2023. "Optimization of a Prey–Predator Model with Hysteresis and Convection," Journal of Optimization Theory and Applications, Springer, vol. 198(1), pages 347-371, July.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:1:d:10.1007_s10957-023-02225-0
    DOI: 10.1007/s10957-023-02225-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-023-02225-0
    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/s10957-023-02225-0?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. Amar Debbouche & Juan J. Nieto & Delfim F. M. Torres, 2017. "Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 7-31, July.
    Full references (including those not matched with items on IDEAS)

    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. Rosa, Silvério & Torres, Delfim F.M., 2018. "Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 142-149.
    2. JinRong Wang & Michal Fečkan & Amar Debbouche, 2019. "Time Optimal Control of a System Governed by Non-instantaneous Impulsive Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 573-587, August.

    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:198:y:2023:i:1:d:10.1007_s10957-023-02225-0. 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.