On limit systems for some population models with cross-diffusion

DOI10.3934/dcdsb.2012.17.2745zbMath1270.35050OpenAlexW2330295997MaRDI QIDQ713235

Kousuke Kuto, Yoshio Yamada

Publication date: 26 October 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.2745

zbMATH Keywords

a priori estimatesbifurcationpositive solutioncross-diffusionnonlinear diffusionpopulation modellimit system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

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