A note on the propagation speed of travelling waves for a Lotka-Volterra competition model with diffusion

DOI10.1006/JMAA.1997.5723zbMath0891.35051OpenAlexW2060021268MaRDI QIDQ1378649

Yukio Kan-On

Publication date: 1 July 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5723

zbMATH Keywords

propagation speed zero

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items (5)

Semi-exact equilibrium solutions for three-species competition-diffusion systems ⋮ Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion ⋮ The Numerical Analysis of the Long Time Asymptotic Behavior for Lotka-Volterra Competition Model with Diffusion ⋮ Note on propagation speed of travelling waves for a weakly coupled parabolic system. ⋮ Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space

Cites Work

• Singular perturbation approach to traveling waves in competing and diffusing species models
• Symmetry and related properties via the maximum principle
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• Instability of stationary solutions for a Lotka-Volterra competition model with diffusion
• Existence of standing waves for competition-diffusion equations

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