The existence and stability of traveling waves with transition layers for the S-K-T competition model with cross-diffusion

DOI10.1007/s11425-010-0141-4zbMath1202.35053OpenAlexW2002933229MaRDI QIDQ989768

Yaping Wu, Ye Zhao

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0141-4

zbMATH Keywords

spectral analysisgeometric singular perturbation methodtopological index methodunstable bundle

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Instability of spiky steady states for S-K-T biological competing model with cross-diffusion ⋮ On stability of two degenerate reaction-diffusion systems ⋮ On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion ⋮ Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system ⋮ Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation ⋮ The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion ⋮ Pattern formation in a cross-diffusion system ⋮ The stability of nontrivial positive steady states for the SKT model with large cross diffusion ⋮ The global existence of a parabolic cross-diffusion system with discontinuous coefficients

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