Singular limit of a chemotaxis-growth model
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Publication:5954458
zbMath1016.35034MaRDI QIDQ5954458
Elisabeth Logak, Danielle Hilhorst, Masayasu Mimura, Aline Bonami
Publication date: 4 February 2002
Published in: Advances in Differential Equations (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Developmental biology, pattern formation (92C15) Free boundary problems for PDEs (35R35) Cell movement (chemotaxis, etc.) (92C17)
Related Items (9)
Asymptotic methods for reaction-diffusion systems: past and present ⋮ Existence of global bounded classical solution to a quasilinear attraction-repulsion chemotaxis system with logistic source ⋮ On the convergence rate of a reaction-diffusion equation with chemotaxis to a viscosity solution ⋮ Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response ⋮ Dispersal towards food: the singular limit of an Allen-Cahn equation ⋮ Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term ⋮ Singular limits of chemotaxis-growth model ⋮ On the justification of the quasistationary approximation of several parabolic moving boundary problems. Part I ⋮ A hyperbolic-elliptic-parabolic PDE model describing chemotactic \textit{E. coli} colonies
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