Exact multiplicity of stationary limiting problems of a cell polarization model

Tatsuki Mori; Kousuke Kuto; Tohru Tsujikawa; Shoji Yotsutani

doi:10.3934/dcds.2016047

Exact multiplicity of stationary limiting problems of a cell polarization model

Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization model proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. It is a nonlinear boundary value problem with total mass constraint. We obtain exact multiplicity results by investigating a global bifurcation sheet which we constructed by using complete elliptic integrals in a previous paper.

Original language	English
Pages (from-to)	5627-5655
Number of pages	29
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	36
Issue number	10
DOIs	https://doi.org/10.3934/dcds.2016047
Publication status	Published - 2016 Oct
Externally published	Yes

Keywords

Bifurcation
Elliptic integral
Exact solution
Level set analysis
Nonlocal term
Reaction diffusion model

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2016047

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abstract = "We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization model proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. It is a nonlinear boundary value problem with total mass constraint. We obtain exact multiplicity results by investigating a global bifurcation sheet which we constructed by using complete elliptic integrals in a previous paper.",

keywords = "Bifurcation, Elliptic integral, Exact solution, Level set analysis, Nonlocal term, Reaction diffusion model",

author = "Tatsuki Mori and Kousuke Kuto and Tohru Tsujikawa and Shoji Yotsutani",

year = "2016",

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AU - Mori, Tatsuki

AU - Kuto, Kousuke

AU - Tsujikawa, Tohru

AU - Yotsutani, Shoji

PY - 2016/10

Y1 - 2016/10

N2 - We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization model proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. It is a nonlinear boundary value problem with total mass constraint. We obtain exact multiplicity results by investigating a global bifurcation sheet which we constructed by using complete elliptic integrals in a previous paper.

AB - We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization model proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. It is a nonlinear boundary value problem with total mass constraint. We obtain exact multiplicity results by investigating a global bifurcation sheet which we constructed by using complete elliptic integrals in a previous paper.

KW - Bifurcation

KW - Elliptic integral

KW - Exact solution

KW - Level set analysis

KW - Nonlocal term

KW - Reaction diffusion model

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JF - Discrete and Continuous Dynamical Systems- Series A

IS - 10

ER -

Exact multiplicity of stationary limiting problems of a cell polarization model

Abstract

Keywords

ASJC Scopus subject areas

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