Can mutualism alter competitive outcome?: A mathematical analysis
type: Item
instance of: scholarly article
title: Can mutualism alter competitive outcome?: A mathematical analysis
zbMATH Open document ID: 0832.34033
published in: Rocky Mountain Journal of Mathematics
publication date: 1995-09-17T00:00:00Z
review text: It is shown that adding a mutualist species to a system consisting of two competitors and a mutualist for one of the competitors can result in persistence for the full four species system, even when the original three species system was not persistent. The results include the possibility of reversal of the competitive outcome.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 796917
zbMATH Keywords: mutualist/competition systems
zbMATH Keywords: asymptotic stability
zbMATH Keywords: persistence
zbMATH Keywords: four species system
author: H. I. Freedman
author: Bindhyachal Rai
reviewed by: T. C. Gard
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072279
OpenAlex ID: W1994474875
Wikidata QID: Q111263347
cites work: The dynamics of two interacting populations
cites work: Uniformly Persistent Systems
cites work: Q3895297
cites work: Q3037210
cites work: Q3030628
cites work: Q3827835
cites work: Persistence in a model of three competitive populations
cites work: Permanence in Lotka-Volterra equations: Linked prey-predator systems
cites work: Permanence of some ecological systems with several predator and one prey species
cites work: A mathematical model of facultative mutualism with populations interacting in a food chain
cites work: Analysis of three species models of mutualism in predator-prey and competitive systems
DOI: 10.1216/RMJM/1181072279
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description: scientific article; zbMATH DE number 796917