Permanent coexistence in general models of three interacting species
type: Item
instance of: scholarly article
title: Permanent coexistence in general models of three interacting species
zbMATH Open document ID: 0579.92023
DOI: 10.1007/BF00276227
author: B. George
published in: Journal of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: The authors provide several criteria for judging whether or not three species governed by a system of differential equations \(\dot x_ i=x_ if_ i(x_ 1,x_ 2,x_ 3)\) \((i=1,2,3)\) coexist in a biological environment. The results refer to permanent coexistence of the three species, that is whether the population vector points eventually to a compact subset of the positive orthant which does not depend on the initial conditions. This compact set may also be not restricted so that limit cycles or even chaotic behavior is allowed. Examples are presented for a one predator - two competing prey and two mutualistic species - one ''aprovechado'' models.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 3928787
zbMATH Keywords: population dynamics
zbMATH Keywords: persistence
zbMATH Keywords: predator-mediated coexistence
zbMATH Keywords: stability
zbMATH Keywords: permanent coexistence
zbMATH Keywords: limit cycles
zbMATH Keywords: chaotic behavior
zbMATH Keywords: mutualistic species
reviewed by: George Karakostas
MaRDI profile type: Publication
Wikidata QID: Q52680091
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full work available at URL: https://doi.org/10.1007/bf00276227
OpenAlex ID: W1995847853
description: scientific article; zbMATH DE number 3928787