IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v234y2012icp83-92.html
   My bibliography  Save this article

A PDE model of clonal plant competition with nonlinear diffusion

Author

Listed:
  • Hamidi, A. El
  • Garbey, M.
  • Ali, N.

Abstract

We present a spatial competition model for clonal plant growth that combines two different mechanisms of competition. The first one is described by the standard underlying Kolmogorov Model for two interacting populations. A second competition mechanism, more specific to clonal plant growth, expresses the motility of each species and their capacity to resist to competitor's space intrusion. This model leads to a degenerated nonlinear reaction–diffusion system in which the diffusion coefficient of each species vanishes wherever the other species is beyond a certain biomass value.

Suggested Citation

  • Hamidi, A. El & Garbey, M. & Ali, N., 2012. "A PDE model of clonal plant competition with nonlinear diffusion," Ecological Modelling, Elsevier, vol. 234(C), pages 83-92.
    • Handle: RePEc:eee:ecomod:v:234:y:2012:i:c:p:83-92
    DOI: 10.1016/j.ecolmodel.2012.03.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380012001196
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2012.03.012?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. Mony, C. & Garbey, M. & Smaoui, M. & Benot, M.-L., 2011. "Large scale parameter study of an individual-based model of clonal plant with volunteer computing," Ecological Modelling, Elsevier, vol. 222(4), pages 935-946.
    2. Oborny, B. & Mony, C. & Herben, T., 2012. "From virtual plants to real communities: A review of modelling clonal growth," Ecological Modelling, Elsevier, vol. 234(C), pages 3-19.
    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. Frolov, Pavel & Shanin, Vladimir & Zubkova, Elena & Bykhovets, Sergey & Grabarnik, Pavel, 2020. "CAMPUS-S – The model of ground layer vegetation populations in forest ecosystems and their contribution to the dynamics of carbon and nitrogen. I. Problem formulation and description of the model," Ecological Modelling, Elsevier, vol. 431(C).
    2. Logofet, Dmitrii O., 2017. "Aggregation may or may not eliminate reproductive uncertainty," Ecological Modelling, Elsevier, vol. 363(C), pages 187-191.
    3. Bittebiere, A.-K. & Mony, C. & Clément, B. & Garbey, M., 2012. "Modeling competition between plants using an Individual Based Model: Methods and effects on the growth of two species with contrasted growth forms," Ecological Modelling, Elsevier, vol. 234(C), pages 38-50.
    4. Campillo, F. & Champagnat, N., 2012. "Simulation and analysis of an individual-based model for graph-structured plant dynamics," Ecological Modelling, Elsevier, vol. 234(C), pages 93-105.
    5. Oborny, B. & Mony, C. & Herben, T., 2012. "From virtual plants to real communities: A review of modelling clonal growth," Ecological Modelling, Elsevier, vol. 234(C), pages 3-19.

    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:ecomod:v:234:y:2012:i:c:p:83-92. 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/ecological-modelling .

    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.