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Exact multiplicity of stationary limiting problems of a cell polarization model

Exact multiplicity of stationary limiting problems of a cell polarization model

We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization modelproposed 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 …