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Persistence in stochastic food web models. (English) Zbl 0533.92028
Author’s summary: A sufficient condition is given for stochastic boundedness persistence of a top predator in generalized Lotka-Volterra- type stochastic food web models in arbitrary bounded regions of state space. The main result indicates that persistence in the corresponding deterministic system is preserved in the stochastic system if the intensities of random fluctuations are not too large.
Reviewer: W.J.Padgett
MSC:
92D40Ecology
60J70Applications of Brownian motions and diffusion theory