Exact multiplicity of stationary limiting problems of a cell polarization model

DOI10.3934/dcds.2016047zbMath1355.34047OpenAlexW2486924503MaRDI QIDQ321553

Kousuke Kuto, Tatsuki Mori, Shoji Yotsutani, Tohru Tsujikawa

Publication date: 14 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016047

zbMATH Keywords

exact solutionbifurcationnonlocal termelliptic integrallevel set analysis

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Cell biology (92C37) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

Secondary bifurcation for a nonlocal Allen-Cahn equation ⋮ Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation ⋮ All global bifurcation diagrams of stationary solutions to a phase field model ⋮ Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model ⋮ Global solution branches for a nonlocal Allen-Cahn equation ⋮ Turing type instability in a diffusion model with mass transport on the boundary ⋮ Representation formulas for stationary solutions of a cell polarization model

Cites Work

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• Global bifurcation of steady-state solutions
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• Asymptotic and Bifurcation Analysis of Wave-Pinning in a Reaction-Diffusion Model for Cell Polarization
• Stationary patterns for an adsorbate-induced phase transition model: II. Shadow system

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