Hopf bifurcations and oscillatory patterns of a homogeneous reaction-diffusion singular predator-prey model
type: Item
instance of: scholarly article
title: Hopf bifurcations and oscillatory patterns of a homogeneous reaction-diffusion singular predator-prey model
zbMATH Open document ID: 1295.35054
DOI: 10.1155/2013/547425
author: He Liu
author: Zhenhua Bao
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A kind of homogeneous reaction-diffusion singular predator-prey model with no-flux boundary condition is considered. By using the abstract simplified Hopf bifurcation theorem due to \textit{F. Yi} et al. [J. Differ. Equations 246, No. 5, 1944--1977 (2009; Zbl 1203.35030)], we performed detailed Hopf bifurcation analysis of this particular pattern formation system. These results suggest the existence of oscillatory patterns if the system parameters fall into certain parameter ranges. And all these oscillatory patterns are proved to be unstable.
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6306993
zbMATH Keywords: no-flux boundary condition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/547425
OpenAlex ID: W2084311006
Wikidata QID: Q58917098
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description: scientific article; zbMATH DE number 6306993