A homoclinic route to chaos in omnivore communities

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Authors: Yiyuan Niu, Ju Kang, Wei Tao, Xin Wang
Cited by: 0
References: 61

Abstract

Abstract Omnivory, where species feed across multiple trophic levels, is a widespread feature of ecological networks. A key mechanism underlying such complexity is intraguild predation (IGP), in which a top predator consumes both an intermediate predator and a shared resource. Here, we show that Shilnikov homoclinic orbits emerge in a minimal intraguild predation model, triggering a cascade of homoclinic bifurcations near a saddle-focus equilibrium that culminates in chaos. Numerical simulations and Lyapunov spectrum analysis reveal multiple coexistence modes, ranging from regular oscillations to Shilnikov homoclinic orbits and chaos. Our model quantitatively reproduces patterns observed in natural omnivore networks, providing mechanistic insights into complex population fluctuations in ecological systems.

Fields of Study & Subjects

Mathematical and Theoretical Epidemiology and Ecology Models Ecosystem dynamics and resilience Chaos control and synchronization

Publication details

Journal / source
Communications in Theoretical Physics
Volume
78
Issue
6
Pages
065601–065601
Publication date
27 February 2026
Language
EN