Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization

DOI10.3934/PROC.2015.0861zbMath1339.35032OpenAlexW2333298219MaRDI QIDQ260923

Tohru Tsujikawa, Shoji Yotsutani, Kousuke Kuto, Masaharu Nagayama, Tatsuki Mori

Publication date: 22 March 2016

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

Full work available at URL: https://doi.org/10.3934/proc.2015.0861

zbMATH Keywords

exact solutionbifurcation diagramcomplete elliptic integralsJacobi elliptic functionselliptic integral

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (6)

Secondary bifurcation for a nonlocal Allen-Cahn equation ⋮ Exact multiplicity of stationary limiting problems of a cell polarization model ⋮ Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation ⋮ Representation formulas of solutions and bifurcation sheets to 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

• Bifurcation structure of steady-states for bistable equations with nonlocal constraint
• Stationary solutions to the one-dimensional Cahn-Hilliad equations: Proof by the complete elliptic integrals
• Structured phase transitions on a finite interval
• 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
• Unnamed Item

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