IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i2p130-d201821.html
   My bibliography  Save this article

Equilibrium and Stability of Entropy Operator Model for Migratory Interaction of Regional Systems

Author

Listed:
  • Yuri S. Popkov

    (Institute for Systems Analysis of FRC CSC of RAS, Moscow 119333, Russia
    Institute of Control Sciences of Russian Academy of Sciences, Moscow 117997, Russia
    National Research, University Higher School of Economics, Moscow 125319, Russia
    Department of Engineering, Haifa University, Karmiel 2161002, Israel)

  • Leo van Wissen

    (Department of Engineering, Haifa University, Karmiel 2161002, Israel
    Netherlands Interdisciplinary Demographic Institute, P.O. Box 11650, 2502 AR Den Haag, The Netherlands
    Population Research Centre, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands)

Abstract

In this paper, we develop a dynamic model for migratory interaction of regional systems that is based on an entropy operator. Next, we study the properties of this operator and establish the existence of a unique singular point in the dynamic entropy model. Here, we use monotonicity property of entropy operator on corresponding vector interval. We study Lyapunov stability of a dynamic system with entropy operator. Stability conditions have been obtained in terms of eigenvalues of linearized system’s matrix. Finally, we give an illustrative example for migratory interaction of regional systems.

Suggested Citation

  • Yuri S. Popkov & Leo van Wissen, 2019. "Equilibrium and Stability of Entropy Operator Model for Migratory Interaction of Regional Systems," Mathematics, MDPI, vol. 7(2), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:130-:d:201821
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/2/130/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/2/130/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:7:y:2019:i:2:p:130-:d:201821. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.