The stability of traveling waves with non-critical speeds for some competition systems

DOI10.1007/s10255-010-0029-7zbMath1207.35179OpenAlexW2120568352MaRDI QIDQ601956

Ye Zhao

Publication date: 29 October 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-010-0029-7

zbMATH Keywords

spectral analysisexponentially weighted spacescross-diffusion systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25) Eigenvalue problems for linear operators (47A75) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

Cites Work

• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• Geometric theory of semilinear parabolic equations
• The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems
• Traveling waves for a diffusive Lotka-Volterra competition model. I: Singular perturbations
• Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system
• Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
• Stability of non-monotone waves in a three-species reaction—diffusion model
• Existence of wave front solutions and estimates of wave speed for a competition-diffusion system
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