Thumbnail Image
Publication

Turing instability of a discrete competitive single diffusion-driven Lotka–Volterra model

Wen, Mingyao
; 
Zhang, Guang
; 
Yan, Yubin
Advisors
Editors
Other Contributors
Affiliation
South China Agricultural University; University of Chester
EPub Date
Publication Date
2025-02-22
Submitted Date
Collections
Mathematics
Show all metadata
Files
Article - AAM
Adobe PDF, 14.46 MB
Other Titles
Abstract
This paper develops a discrete competitive Lotka–Volterra system with single diffusion under Neumann boundary conditions. It establishes the conditions for Turing instability and identifies the precise Turing bifurcation when the diffusion coefficient is used as a bifurcation parameter. Within Turing unstable regions, a variety of Turing patterns are explored via numerical simulations, encompassing lattice, nematode, auspicious cloud, spiral wave, polygon, and stripe patterns, as well as their combinations. The periodicity and complexity of these patterns are verified through bifurcation simulations, Lyapunov exponent analysis, trajectory or phase diagrams. These methods are also applicable to other single diffusion systems, including partial dissipation systems.
Citation
Wen, M., Zhang, G., & Yan, Y. (2025). Turing instability of a discrete competitive single diffusion-driven Lotka–Volterra model. Chaos, Solitons & Fractals, 194, article-number 116146. https://doi.org/10.1016/j.chaos.2025.116146
Publisher
Elsevier
Journal
Chaos, Solitons & Fractals
Research Unit
URI
http://hdl.handle.net/10034/629265
DOI
10.1016/j.chaos.2025.116146
PubMed ID
PubMed Central ID
Type
Article
Language
en
Description
Series/Report no.
ISSN
0960-0779
EISSN
1873-2887
ISBN
ISMN
Gov't Doc
Test Link
Sponsors
Unfunded
Additional Links
https://www.sciencedirect.com/science/article/pii/S0960077925001596?via%3Dihub