IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i17p3484-3495.html
   My bibliography  Save this article

Anomalous invasion in a 2d model of chemotactic predation

Author

Listed:
  • Willemsen, Jorge F.

Abstract

It has been hypothesized that plankton predators sense the presence of their prey through detection of chemical signals exuded by the prey. This process is formulated using elements of existing models, tailored to correspond to the specific process under investigation. The motivation for the resulting model is discussed in detail. Numerical results are then presented. It is found that the front representing the advance of the predator into the prey is irregular in a novel way, and the reasons for this anomalous invasion are discussed. It is recognized that reaction–diffusion models, starting perhaps with Turing, can lead to what might have been thought of as anomalous patterns — yet the “flicker” front advance discovered here is indeed novel.

Suggested Citation

  • Willemsen, Jorge F., 2010. "Anomalous invasion in a 2d model of chemotactic predation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3484-3495.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:17:p:3484-3495
    DOI: 10.1016/j.physa.2010.04.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110003547
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2010.04.017?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. Mimura, Masayasu & Tsujikawa, Tohru, 1996. "Aggregating pattern dynamics in a chemotaxis model including growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 499-543.
    2. Willemsen, Jorge F., 2005. "Ocean circulation and impacts on plankton near the Florida Keys," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(1), pages 36-43.
    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. Guo, Liujie & Gao, Fei & Zhan, Hui, 2022. "Existence, uniqueness and L∞-bound for weak solutions of a time fractional Keller-Segel system," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Shengmao Fu & Fenli Cao, 2013. "Pattern Formation of a Keller-Segel Model with the Source Term," Journal of Mathematics, Hindawi, vol. 2013, pages 1-11, October.

    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:eee:phsmap:v:389:y:2010:i:17:p:3484-3495. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.