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Effects of parameter fluctuations on community survival. (English) Zbl 0631.92019

Authors’ abstract: This article focuses upon temporal fluctuations in demographic parameters and their role in determining survival of populations in a two-species community.

First, persistence in a generic nonautonomous Lotka-Volterra model without specified interspecific interaction type is investigated. When additional hypotheses, including typical interaction classifications of predation, competition and cooperation, are imposed, extinction and additional persistence results are found. While only two-dimensional Lotka-Volterra models are discussed here, the methods are applicable to higher dimensional problems and to other types of models.

Reviewer: V.Sree Hari Rao

MSC:
92D40Ecology
92D25Population dynamics (general)