Existence of trajectories joining critical points for a symbiotic system via the Conley index
type: Item
instance of: scholarly article
title: Existence of trajectories joining critical points for a symbiotic system via the Conley index
zbMATH Open document ID: 1009.34042
DOI: 10.1016/S0898-1221(01)00319-4
author: Cheng-Dong Zhao
publication date: 2002-08-15T00:00:00Z
review text: A sufficient condition for the existence of trajectories joining critical points of ecological system with three species is derived. Under some special geometric conditions concerning the behaviour of the vector field, the result follows by constructing suitable index pairs and the application of the Conley index theory. The result is very similar to the previous one, published by the author and \textit{X.-X. Wang} [The existence and uniqueness of trajectories joining critical points for differential equations in \(\mathbb{R}^3\), Chaos Solitons Fractals 12, No. 1, 153-158 (2001)].
reviewed by: Klaudiusz Wójcik
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37B30
zbMATH DE Number: 1781535
zbMATH Keywords: Conley index
zbMATH Keywords: ecological systems
zbMATH Keywords: index pairs
zbMATH Keywords: trajectory joining critical points
MaRDI profile type: Publication
cites work: A connection matrix analysis of ecological models
cites work: Connected Simple Systems and The Conley Index of Isolated Invariant Sets
cites work: Q4180600
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1781535