Persistence and extinction in three species Lotka-Volterra competitive systems

作者: Thomas G. Hallam , Linda J. Svoboda , Thomas C. Gard

DOI: 10.1016/0025-5564(79)90018-X

关键词: ExtinctionPairwise comparisonVolterra equationsCompetitive systemEcologyModel parametersBiologyPersistence (psychology)Biological system

摘要: Abstract Extinction in a three species Lotka-Volterra competitive system is classified terms of the model parameters. Necessary and sufficient conditions are given for one two extinction; these are, alternatively, persistence. Persistence studied assuming all pairwise interactions between known. An intransitive arrangement only case persistence where by themselves, to govern No persistent can contain pair that interacts an unstable manner.

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