Influence of predation on species coexistence in Volterra models
type: Item
instance of: scholarly article
title: Influence of predation on species coexistence in Volterra models
zbMATH Open document ID: 0548.92014
DOI: 10.1016/0025-5564(84)90047-6
author: Yasuhiro Takeuchi
author: Norihiko Adachi
published in: Mathematical Biosciences
publication date: 1984-01-01T00:00:00Z
review text: This work is devoted to the study of the predator-mediated coexistence in some prey-predator Volterra models. Specifically the difference between the asymptotic behavior of a two-prey, one-predator and a two-prey, two- predator model is examined. There are found several results among which a significant one is that the stability of equilibria as well as the possibility of oscillatory coexistence increase with the inclusion of one or two predators.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 3875032
zbMATH Keywords: limit cycles
zbMATH Keywords: chaotic behaviors
zbMATH Keywords: global stability
zbMATH Keywords: bifurcation
zbMATH Keywords: predator- mediated coexistence
zbMATH Keywords: prey-predator Volterra models
zbMATH Keywords: stability of equilibria
zbMATH Keywords: oscillatory coexistence
Wikidata QID: Q115599897
reviewed by: George Karakostas
MaRDI profile type: Publication
full work available at URL: 0025-5564(84)90047-6
OpenAlex ID: W2093803264
cites work: Sector stability of a complex ecosystem model
cites work: Predator-mediated coexistence and extinction
cites work: Q1233671
cites work: Stability in multispecies community models
cites work: Existence and bifurcation of stable equilibrium in two-prey, one-predator communities
description: scientific article; zbMATH DE number 3875032