Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches

DOI10.1137/120902264zbMath1302.35030OpenAlexW2089996830MaRDI QIDQ2876669

Michael J. Ward, C. Grierson, Víctor F. Breña-Medina, Alan R. Champneys

Publication date: 19 August 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e4bfe7605356862690ee411290eeeb9c6a29c908

zbMATH Keywords

localized structureslinearized stability analysisnonlocal eigenvalue problemnumerical bifurcation analysisnonhomogeneous reaction-diffusion systemSchnakenberg reaction-diffusion system

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (10)

Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains ⋮ Turing patterns with space varying diffusion coefficients: eigenfunctions satisfying the Legendre equation ⋮ Patterned vegetation, tipping points, and the rate of climate change ⋮ A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations ⋮ A Model for Cell Polarization Without Mass Conservation ⋮ Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation ⋮ Stability of Turing-Type Patterns in a Reaction–Diffusion System with an External Gradient ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Stripe to Spot Transition in a Plant Root Hair Initiation Model ⋮ Bistability, wave pinning and localisation in natural reaction-diffusion systems

Uses Software

• AUTO
• AUTO-07P
• XPPAUT

Cites Work

• Unnamed Item
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