Statistics of extinction and survival in Lotka-Volterra systems

Details Statistics of extinction and survival in Lotka-Volterra systems Statistics of extinction and survival in Lotka-Volterra systems

1998-05-15

arxiv.org/abs/adap-org/9805001v2

Phys. Rev. E vol.57, p.4572 (1998)

Physics

Condensed Matter

Soft Condensed Matter

Previous version had error in authors. 11 pages, including 5 figures

Scientific paper

10.1103/PhysRevE.57.4572

We analyze purely competitive many-species Lotka-Volterra systems with random interaction matrices, focusing the attention on statistical properties of their asymptotic states. Generic features of the evolution are outlined from a semiquantitative analysis of the phase-space structure, and extensive numerical simulations are performed to study the statistics of the extinctions. We find that the number of surviving species depends strongly on the statistical properties of the interaction matrix, and that the probability of survival is weakly correlated to specific initial conditions.

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