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Persistence in three-dimensional lotka-volterra systems

โœ Scribed by G.J. Butler; P. Waltman

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
341 KB
Volume
10
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

An ecosystem is persistent if for any initial configuration, each component population which is initially present in the system is bounded away from zero in the long run. Using a recent dynamical system approach developed by the authors, we obtain a criterion for the persistence of three-dimensional Lotka-Volterra systems. Except for the case of "intransitive" competition, the criterion is easily computable.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Urszula Foryล› ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 174 KB

## Abstract In the paper we consider three classes of models describing carcinogenesis mutations. Every considered model is described by the system of (__n__+1) equations, and in each class three models are studied: the first is expressed as a system of ordinary differential equations (ODEs), the s