Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion. I: Numerical verification of local structure

DOI10.1016/J.CAM.2005.12.032zbMath1110.65067OpenAlexW2001554994MaRDI QIDQ869550

Yukio Kan-On

Publication date: 8 March 2007

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.2005.12.032

zbMATH Keywords

interval arithmeticbifurcation structure

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) General methods in interval analysis (65G40) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Bifurcation structures of positive stationary solutions for a Lotka-Volterra competition model with diffusion. II: Global structure
• Global bifurcation structure of stationary solutions for a Lotka-Volterra competition model.
• Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion

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