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.
Recall that we need to solve the equation x2l+3 −x 2l+1 −1 = 0,(D28) and find the first two solutionsx 1, x2 with the largest magnitudes
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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.