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    Higher-order processes shape diverse patterns in biodiversity

    Yikang Lu1,2, Rong Fan1, Yali Zhang1, Chunpeng Du3,*, Xiaofang Duan4,†, and Junpyo Park5,‡

    • *Contact author: duchunpeng93@gmail.com
    • †Contact author: duanxf427@163.com
    • ‡Contact author: junpyopark@khu.ac.kr

    Phys. Rev. E 112, 064319 – Published 31 December, 2025

    DOI: https://doi.org/10.1103/dyk7-47hw

    Abstract

    Higher-order dynamics are essential for maintaining species diversity in ecological systems. In this paper, we examine how intraspecific competition affects interspecific interactions within spatially embedded hyperlattice frameworks. We thoroughly analyze their impact on conserving biodiversity by including higher-order competitive processes. Extensive numerical simulations show that increased higher-order competition significantly boosts biodiversity, even with higher mobility. The snapshot analyses further identify four distinct spatial patterns resulting from species interactions: regular pattern formation, two-species dominance, spiral wave structures, and single-species dominance. These results emphasize the key role of higher-order competitive interactions in shaping and stabilizing ecological diversity.

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