Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data

DOI10.1016/0022-247X(80)90028-1zbMath0427.35011MaRDI QIDQ1136931

Anthony W. Leung

Publication date: 1980

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

zbMATH Keywords

stabilityDirichlet boundary conditionsreaction-diffusion systemsequilibriaparabolic systemcomparison techniquescompeting-species

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ecology (92D40)

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Cites Work

• Bifurcations and large-time asymptotic behavior for prey-predator reaction-diffusion equations with Dirichlet boundary data
• Nonlinear reaction-diffusion models for interacting populations
• Limiting behaviour for a prey-predator model with diffusion and crowding effects
• Diffusion and the Predator-Prey Interaction
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
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