The analysis of a finite element method for the three-species Lotka-Volterra competition-diffusion with Dirichlet boundary conditions

DOI10.1016/j.cam.2008.01.030zbMath1149.92033OpenAlexW1992154986MaRDI QIDQ953405

Jeff C.-F. Wong

Publication date: 20 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.030

zbMATH Keywords

finite elementserror estimatetwo-dimensionalthree dimensionalthree-species Lotka-Volterra competition-diffusion equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Ecology (92D40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Decoupled algorithms for non-linearly coupled reaction-diffusion competition model with harvesting and stocking ⋮ Stability and bifurcation analysis for a discrete-time model of Lotka-Volterra type with delay ⋮ The Numerical Analysis of the Long Time Asymptotic Behavior for Lotka-Volterra Competition Model with Diffusion ⋮ Periodic solutions for the degenerate Lotka-Volterra competition system ⋮ Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system

Uses Software

• SPARSKIT

Cites Work

• A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So
• Periodic solutions for a \(3\times 3\) competitive system with cross-diffusion
• The diffusive Lotka-Volterra system with three species can have a stable non-constant equilibrium solution
• The effect of diffusion for the multispecies Lotka--Volterra competition model
• Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
• Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems
• Nonlinear Aspects of Competition Between Three Species
• On a finite element method for three-dimensional unsteady compressible viscous flows
• On a finite element method for unsteady compressible viscous flows
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

This page was built for publication: The analysis of a finite element method for the three-species Lotka-Volterra competition-diffusion with Dirichlet boundary conditions