IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v432y2022ics0096300322004453.html
   My bibliography  Save this article

Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system

Author

Listed:
  • Wang, Zihao
  • Bayliss, A.
  • Volpert, V.A.

Abstract

We study traveling wave solutions of the Lotka-Volterra competition-diffusion system for two species with bistable nonlinearity. We analyze the speed of propagation and, most importantly, the sign of the speed, which determines the winner of the competition, in several limiting cases. One we refer to as the strong competition. Here the inter-species competition for each species is much stronger than the intra-species competition. Another is a moderate competition, where the inter- and intra-species competitions are close to each other in strength. We also analyze the cases of fast and slow competitors, i.e., when the diffusion coefficient of one of the species is much larger (or much smaller) than the other. We employ asymptotic and perturbation methods and support our approximate results by direct numerical integration.

Suggested Citation

  • Wang, Zihao & Bayliss, A. & Volpert, V.A., 2022. "Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    • Handle: RePEc:eee:apmaco:v:432:y:2022:i:c:s0096300322004453
    DOI: 10.1016/j.amc.2022.127371
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322004453
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127371?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. Wang, Z. & Bayliss, A. & Volpert, V.A., 2024. "Competing alliances in a four-species cyclic ecosystem," Applied Mathematics and Computation, Elsevier, vol. 464(C).

    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:apmaco:v:432:y:2022:i:c:s0096300322004453. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.