Existence and stability of travelling wave solutions of competition models with migration effects

DOI10.1007/BF03167888zbMath0751.92015MaRDI QIDQ4711023

Syozo Niizeki

Publication date: 25 June 1992

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

zbMATH Keywords

comparison theoremmigrationtravelling wave solutionssemilinear hyperbolic systemtwo-species competition model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Ecology (92D40) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Wave front solution of some competition models with migration effect
• Asymptotic behaviour of solutions for some competition model with migration effect
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• On the Cauchy problem for a semi-linear hyperbolic system
• On the stability of waves of nonlinear parabolic systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
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