Solvable model of a complex ecosystem with randomly interacting species
- 7 September 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (17) , 3447-3460
- https://doi.org/10.1088/0305-4470/22/17/011
Abstract
A stochastic model for a dynamical system containing a great number of randomly interacting species is introduced. In the limit of infinitely many interacting species this model becomes exactly solvable and shows a stability-instability transition driven by the typical interaction strength and the noise parameter. The dynamical behaviour of the system in the stability region of the phase diagram is investigated and compared with numerical simulations. The implications of the results on natural ecosystems are discussed.Keywords
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