Spatial segregation limit of a non-autonomous competition-diffusion system

DOI10.1016/j.jmaa.2011.11.054zbMath1246.35028OpenAlexW2090909503MaRDI QIDQ663689

Ling Zhou, Shan Zhang, Zhigui Lin, Zu Han Liu

Publication date: 27 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.054

zbMATH Keywords

nonlinear parabolic equationslarge parameterconvergence of the solutionnon-autonomous competition system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Pattern formations for a strong interacting free boundary problem ⋮ Singularities of the nodal set of segregated configurations ⋮ Nodal set of strongly competition systems with fractional Laplacian

Cites Work

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• Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses and infinite delays
• Some new results in competing systems with many species
• Highly nonlinear large-competition limits of elliptic systems
• On competitive Lotka-Volterra model in random environments
• Competing species equations with diffusion, large interactions, and jumping nonlinearities
• Dynamics of Lotka-Volterra competition systems with large interaction
• Fast reaction limit of a three-component reaction-diffusion system
• Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions
• Coexistence and asymptotic periodicity in a competitor-competitor-mutualist model
• Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
• Spatial segregation limit of a competition–diffusion system
• Dynamics of Interfaces in Competition-Diffusion Systems
• Asymptotic behaviour of solutions of planar elliptic systems with strong competition
• A competition-diffusion system approximation to the classical two-phase Stefan problem

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