IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v395y2014icp228-235.html
   My bibliography  Save this article

Population evolution in mutualistic Lotka–Volterra system with spatial diffusion

Author

Listed:
  • Wang, Mao-Xiang
  • Ma, Yu-Qiang

Abstract

We consider the population dynamics of two species described by the mutualistic Lotka–Volterra model with a +/+ interaction in the presence of spatial diffusions. The results demonstrate that diffusion does not affect the system’s stability but it brings two situations: one is a win–win situation where both species propagate with the same largest speed; in the other situation the aggressive species has two propagating wave fronts and the other species travels with a single slow wave front. Our model may help to understand the evolution of mutualism.

Suggested Citation

  • Wang, Mao-Xiang & Ma, Yu-Qiang, 2014. "Population evolution in mutualistic Lotka–Volterra system with spatial diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 228-235.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:228-235
    DOI: 10.1016/j.physa.2013.10.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113009916
    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.2013.10.019?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. Zhu, Haoqi & Wang, Maoxiang & Hu, Fenglan, 2018. "Interaction and coexistence with self-regulating species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 447-458.

    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:395:y:2014:i:c:p:228-235. 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: 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.