Traveling waves for some biological systems with density dependent diffusion

DOI10.1007/BF03167778zbMath0655.92017WikidataQ113906547 ScholiaQ113906547MaRDI QIDQ3802941

Yuzo Hosono

Publication date: 1987

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

zbMATH Keywords

center manifold theoremprey-predator modeldensity dependent dispersaldensity dependent diffusionexistence problem of traveling wave front solutionssign of speedstwo competing species models

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity ⋮ Travelling wave solutions for reaction-diffusion equations ⋮ The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems ⋮ Competition for space in a heterogeneous environment

Cites Work

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