Stability and bifurcation in a diffusive prey-predator system. Nonlinear bifurcation analysis.
type: Item
instance of: scholarly article
title: Stability and bifurcation in a diffusive prey-predator system. Nonlinear bifurcation analysis.
zbMATH Open document ID: 1139.34309
DOI: 10.1007/BF02936202
author: Malay Bandyopadhyay
author: Sandip Banerjee
author: R. Bhattacharyya
published in: Journal of Applied Mathematics and Computing
publication date: 2002-01-01T00:00:00Z
review text: A predator-prey model with nonlinear prey growth and Lotka-Volterra type functional response is considered. Due to the nonlinearity the system undergoes a Hopf bifurcation at the positive steady state when the death rate of the predator passes a critical value. The authors then studied the effect of small inhomogeneous perturbation on this bifurcation value and derived a new bifurcation value which depends on the diffusion coefficient ratio and indicates the well-known Turing instability phenomenon.
reviewed by: Shigui Ruan
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 1836012
Wikidata QID: Q115609739
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02936202
OpenAlex ID: W2013167462
description: scientific article; zbMATH DE number 1836012