Competition in a patchy environment with cross-diffusion in a three-dimensional Lotka-Volterra system
type: Item
instance of: scholarly article
title: Competition in a patchy environment with cross-diffusion in a three-dimensional Lotka-Volterra system
zbMATH Open document ID: 1197.34083
author: Ruiping Wang
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-07-20T00:00:00Z
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5757779
zbMATH Keywords: bifurcation
zbMATH Keywords: competitive Lotka-Volterra system
zbMATH Keywords: cross-diffusion
zbMATH Keywords: Lotka-Volterra system
zbMATH Keywords: Turing bifurcation
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.09.020
OpenAlex ID: W2055059737
cites work: Ann-dimensional competitive Lotka Volterra system is generically determined by the edges of its carrying simplex
cites work: Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits
cites work: A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So
cites work: Multiple limit cycles for three dimensional Lotka-Volterra equations
cites work: Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
cites work: Systems of differential equations which are competitive or cooperative: III. Competing species
cites work: Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
cites work: Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
cites work: The chemical basis of morphogenesis
cites work: Competition in patchy space with cross-diffusion and toxic substances
cites work: Two ways of modelling cross-diffusion
cites work: Interspecific influence on mobility and Turing instability
DOI: 10.1016/J.NONRWA.2009.09.020
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description: scientific article; zbMATH DE number 5757779