IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v86y2013i4p1-810.1140-epjb-e2013-30649-7.html
   My bibliography  Save this article

Turing instabilities in reaction-diffusion systems with cross diffusion

Author

Listed:
  • Duccio Fanelli
  • Claudia Cianci
  • Francesca Patti

Abstract

The Turing instability paradigm is revisited in the context of a multispecies diffusion scheme derived from a self-consistent microscopic formulation. The analysis is developed with reference to the case of two species. These latter share the same spatial reservoir and experience a degree of mutual interference due to the competition for the available resources. Turing instability can set in for all ratios of the main diffusivities, also when the (isolated) activator diffuses faster then the (isolated) inhibitor. This conclusion, at odd with the conventional vision, is here exemplified for the Brusselator model and ultimately stems from having assumed a generalized model of multispecies diffusion, fully anchored to first principles, which also holds under crowded conditions. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Duccio Fanelli & Claudia Cianci & Francesca Patti, 2013. "Turing instabilities in reaction-diffusion systems with cross diffusion," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(4), pages 1-8, April.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:4:p:1-8:10.1140/epjb/e2013-30649-7
    DOI: 10.1140/epjb/e2013-30649-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2013-30649-7
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2013-30649-7?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.

    Citations

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


    Cited by:

    1. Di Patti, Francesca & Fanelli, Duccio & Miele, Filippo & Carletti, Timoteo, 2017. "Benjamin–Feir instabilities on directed networks," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 8-16.
    2. Flores, J.C., 2020. "Game theory approach to sterile release populations and replicator dynamics: Niche fragmentation and resilience," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    3. Liu, Haicheng & Ge, Bin & Shen, Jihong, 2022. "Dynamics of periodic solutions in the reaction-diffusion glycolysis model: Mathematical mechanisms of Turing pattern formation," Applied Mathematics and Computation, Elsevier, vol. 431(C).

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:eurphb:v:86:y:2013:i:4:p:1-8:10.1140/epjb/e2013-30649-7. 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.