Bifurcation analysis in a delayed diffusive Leslie-Gower model
type: Item
instance of: scholarly article
title: Bifurcation analysis in a delayed diffusive Leslie-Gower model
zbMATH Open document ID: 1264.34168
DOI: 10.1155/2013/170501
author: Shuling Yan
author: Xinze Lian
author: Weiming Wang
author: Youbin Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability and direction of bifurcating periodic orbits by using normal form theorem and the center manifold theorem.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6175046
zbMATH Keywords: periodic orbits
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Leslie-Gower model
Wikidata QID: Q58921393
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/170501
OpenAlex ID: W2022273010
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description: scientific article; zbMATH DE number 6175046