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Coexistence for systems governed by difference equations of Lotka-Volterra type

โœ Scribed by J. Hofbauer; V. Hutson; W. Jansen

Publisher
Springer
Year
1987
Tongue
English
Weight
1011 KB
Volume
25
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

The question of the long term survival of species in models governed by Lotka-Volterra difference equations is considered. The criterion used is the biologically realistic one of permanence, that is populations with all initial values positive must eventually all become greater than some fixed positive number. We show that in spite of the complex dynamics associated even with the simplest of such systems, it is possible to obtain readily applicable criteria for permanence in a wide range of cases.

๐Ÿ“œ SIMILAR VOLUMES

A parallel algorithm for large systems o
A parallel algorithm for large systems of Volterra integral equations of Abel type
โœ G. Capobianco; A. Cardone ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

A significative number of recent applications require numerical solution of large systems of Abel-Volterra integral equations. Here we propose a parallel algorithm to numerically solve a class of these systems, designed for a distributed-memory MIMD architecture. In order to achieve a good efficien