Chemotaxis-growth under the influence of lateral inhibition in a three-component reaction–diffusion system

DOI10.1088/0951-7715/24/4/002zbMath1223.35034OpenAlexW2114102716MaRDI QIDQ2996872

Satoshi Kawaguchi

Publication date: 4 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/4/002

zbMATH Keywords

spot, planar and travelling front solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58)

Related Items (5)

Motion of a spot in a reaction diffusion system under the influence of chemotaxis ⋮ Unnamed Item ⋮ A Chemotactic Model for Interaction of Antagonistic Microflora Colonies: Front Asymptotics and Numerical Simulations ⋮ INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM ⋮ A Hopf bifurcation in a three-component reaction-diffusion system with a chemoattraction

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