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Chimeric states induced by higher-order interactions in coupled prey-predator systems.
Richita Ghosh1, Umesh Kumar Verma2, Sarika Jalan2
1Department of Physics, Central University of Rajasthan, Rajasthan, Ajmer 305 817, India.
Higher-order interactions in ecological models create complex chimera states, unlike simpler pairwise interactions. These findings reveal how competing interactions promote population persistence, offering insights for conservationists.
Area of Science:
- Ecology
- Complex Systems
- Theoretical Biology
Background:
- Higher-order interactions are crucial for understanding complex dynamics in large-scale systems.
- Previous models primarily focused on pairwise interactions, limiting the scope of observed phenomena.
- Prey-predator models like Rosenzweig-MacArthur are foundational in ecological dynamics.
Purpose of the Study:
- To investigate the impact of attractive and repulsive higher-order interactions on prey-predator systems.
- To explore the emergence of spatiotemporal chimeric states.
- To analyze the transition dynamics between chimera-like and chimera-death states.
Main Methods:
- Utilizing globally and non-locally coupled Rosenzweig-MacArthur models.
- Analyzing the system's behavior under attractive and repulsive higher-order interactions.
- Investigating transitions via supercritical Hopf bifurcations and non-local topology effects.
Main Results:
- Emergence of complex spatiotemporal chimeric states not seen with pairwise interactions.
- Observation of a second-order transition from chimera-like to chimera-death states.
- Identification of "amplitude-mediated chimera-like states" due to higher-order non-local topology.
Conclusions:
- Higher-order interactions introduce incoherence and promote persistence in consumer-resource dynamics.
- This contrasts with the susceptibility of synchronized dynamics observed with only pairwise interactions.
- Findings are relevant for ecologists and conservationists studying ecological networks and competing interactions.
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