IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v198y2025ics0960077925004710.html
   My bibliography  Save this article

Dynamic behaviors of a reaction–diffusion competition system with road diffusion and nonlocal interaction

Author

Listed:
  • Zhou, You
  • Xu, Yao
  • Tian, Canrong
  • Ling, Zhi

Abstract

We present a two-species competition system that incorporates road diffusion and non-local interactions, which describes a process of biological invasion. Using the modified comparison principle, we derive that the system possesses a unique global solution. We analyze the long-term behavior of the competing populations, that is, whether the invasion succeeds or fails. Our analysis reveals that in cases of weak–strong interaction between species, the weaker one tends to extinction, whereas the stronger one persists. In contrast, when the competition is characterized as weak-weak, both species are able to coexist simultaneously. Additionally, it is demonstrated that the invasion velocity exceeds the speed of traveling wave solutions when the road diffusion coefficient is sufficiently large.

Suggested Citation

  • Zhou, You & Xu, Yao & Tian, Canrong & Ling, Zhi, 2025. "Dynamic behaviors of a reaction–diffusion competition system with road diffusion and nonlocal interaction," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925004710
    DOI: 10.1016/j.chaos.2025.116458
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925004710
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116458?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.

    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:chsofr:v:198:y:2025:i:c:s0960077925004710. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.