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.
|ジャーナル||Discrete and Continuous Dynamical Systems- Series A|
|出版物ステータス||Published - 2016 10 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics