Both show: heterogeneity enables coexistence (homogeneous → marginal/unstable). Spatial structure + network topology govern dynamics. Paper 2 adds high-dimensional chaos. Related but not perfect match.
Spatial structure and dispersal networks jointly determine species persistence. Heterogeneous habitats support stable coexistence only above a critical heterogeneity threshold. Homogeneous environments allow coexistence only in a fine-tuned marginal state, creating instability. Network topology encodes dispersal effectiveness through an effective kernel.
view paper→Species cross-feed through metabolite leakage and uptake. Competitive uptake of leaked chemicals creates coupled population-chemical dynamics. Network structure determines attractor types: fixed points, limit cycles, low-dimensional chaos, or high-dimensional chaos. High-dimensional chaos enables coexistence beyond competitive exclusion limits through intermittent switching among quasi-stationary states. Chemical dynamics explore high-dimensional space while populations switch intermittently.
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