A minimal neighbor-interaction Lotka-Volterra model yields exponentially many self-organized species cluster states separated by sharp phase transitions, exactly solvable via transfer matrices in the nearest-neighbor limit.
Bunin, Ecological communities with lotka-volterra dy- namics, Physical Review E95, 042414 (2017)
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Ecological interactions generate emergent frequency-dependent selection that extends Kimura's fixation probability formula and suppresses fixation of moderately beneficial mutations in species-rich communities.
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Minimal model of self-organized clusters with phase transitions in ecological communities
A minimal neighbor-interaction Lotka-Volterra model yields exponentially many self-organized species cluster states separated by sharp phase transitions, exactly solvable via transfer matrices in the nearest-neighbor limit.