EconPapers    
Economics at your fingertips  
 

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

You Zhou, Yao Xu, Canrong Tian and Zhi Ling

Chaos, Solitons & Fractals, 2025, vol. 198, issue C

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.

Keywords: Biological invasion; Competition system; Road diffusion; Nonlocal interaction (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925004710
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925004710

DOI: 10.1016/j.chaos.2025.116458

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().

 
Page updated 2025-06-17
Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925004710