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Zbl 0533.92028
Gard, Thomas C.
Persistence in stochastic food web models. (English)
[J] Bull. Math. Biol. 46, 357-370 (1984). ISSN 0092-8240; ISSN 1522-9602/e

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.
[W.J.Padgett]
MSC 2000:
*92D40 Ecology
60J70 Appl. of diffusion theory

Keywords: stochastic boundedness persistence of top predator; generalized Lotka- Volterra-type stochastic food web models

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