Coexistence for species sharing a predator.
type: Item
instance of: scholarly article
title: Coexistence for species sharing a predator.
zbMATH Open document ID: 1054.34079
DOI: 10.1016/S0022-0396(03)00169-4
author: Sebastian J. Schreiber
published in: Journal of Differential Equations
publication date: 2004-01-26T00:00:00Z
review text: A class of equations describing the dynamics of two preys sharing a common predator is considered. Even though the boundary and internal dynamics can exhibit oscillatory behavior, it is shown that these equations are permanent if and only if they admit a positive equilibrium. Going beyond permanence, a subclass of equations are constructed that are almost surely permanent but not permanent; there exists an attractor in the positive orthant that attracts Lebesgue almost every (but not every) initial condition.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 34D45
zbMATH DE Number: 2033007
zbMATH Keywords: permanence
zbMATH Keywords: almost sure permanence
zbMATH Keywords: Nonequilibrium coexistence
zbMATH Keywords: apparent compitition
reviewed by: Lansun Chen
MaRDI profile type: Publication
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full work available at URL: s0022-0396(03)00169-4
OpenAlex ID: W2099432447
description: scientific article; zbMATH DE number 2033007