Spatiotemporal dynamics of a food chain model incorporating higher-order interactions and slow–fast effect

Feng Min, Min Xiao, Jinde Cao, Zhen Wang, Jie Ding and Leszek Rutkowski

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

Abstract: Higher-order interactions (HOIs), as critical drivers of complex dynamical behaviors in ecosystems, have garnered increasing attention in scientific research. Existing studies have demonstrated their significant regulatory effects on multispecies coexistence and biodiversity. However, the mechanisms through which HOIs influence ecosystem spatial dynamics remain poorly understood. This study constructs a time delay reaction–diffusion food chain model with HOIs and slow–fast effect. We established the local asymptotic stability conditions for the positive equilibrium point of system by employing linear stability analysis. Utilizing amplitude equation theory, we reveal the mechanisms underlying Turing instability and the formation patterns of spatial structures. Furthermore, by selecting time delay as a bifurcation parameter, we derive the criteria for Hopf bifurcation. Numerical simulations validate the theoretical predictions and further demonstrate that variations in HOIs intensity and slow–fast effect significantly alter spatial constructures, inducing diverse spiral patterns.

Keywords: Higher-order interactions; Diffusion; Time delay; Turing–Hopf bifurcation; Pattern formation (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925006496
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:199:y:2025:i:p1:s0960077925006496

DOI: 10.1016/j.chaos.2025.116636

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. ().