On the Structure of Positive Solutions for the Shigesada–Kawasaki–Teramoto Model with Large Interspecific Competition Rate

DOI10.1142/S0218127420500017zbMath1433.35043OpenAlexW3005821673MaRDI QIDQ5220432

Yukio Kan-On

Publication date: 23 March 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500017

zbMATH Keywords

competition-diffusion systemradially symmetric positive solutionstructure of bifurcating branch

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Bifurcations in context of PDEs (35B32)

Related Items (7)

Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model ⋮ Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition ⋮ Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system ⋮ Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model ⋮ Short note on the position of bifurcation points for the limiting system arising from the two competing species model ⋮ The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties ⋮ Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model

Cites Work

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• Pattern formation in a cross-diffusion system
• Structure of radially symmetric positive stationary solutions for a reaction-diffusion system with competitive interaction
• Diffusion vs cross-diffusion: An elliptic approach
• Some global results for nonlinear eigenvalue problems
• Diffusive and nondiffusive population models
• Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion
• Spatial segregation limit of a competition–diffusion system

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