Uniform persistence and global stability of two prey-predator pairs linked by competition
type: Item
instance of: scholarly article
title: Uniform persistence and global stability of two prey-predator pairs linked by competition
zbMATH Open document ID: 0709.92021
DOI: 10.1016/0025-5564(90)90137-N
author: Debasis Mukherjee
author: A. B. Roy
published in: Mathematical Biosciences
publication date: 1990-01-01T00:00:00Z
review text: The authors study the dynamics of a very general model of prey-predator pairs linked by competition. It is assumed that each predator feeds on one prey only and that there is no intraspecific interaction among the predators. Under certain assumptions on the vector field they obtain criteria for uniform persistence of the proposed model, without taking into account the existence of interior or boundary equilibria and their local stability characters. A sufficient condition for the global stability of an interior equilibrium is also derived. A four dimensional example with Holling type II predator functional response is treated.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4168139
zbMATH Keywords: dissipative
zbMATH Keywords: predator-prey systems
zbMATH Keywords: competition
zbMATH Keywords: uniform persistence
zbMATH Keywords: global stability of an interior equilibrium
zbMATH Keywords: Holling type II predator functional response
Wikidata QID: Q44062291
reviewed by: Marcos Lizana
MaRDI profile type: Publication
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full work available at URL: 0025-5564(90)90137-n
OpenAlex ID: W2068794573
description: scientific article; zbMATH DE number 4168139