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We study global-in-time behavior of the solution to a reaction-diffusionsystem with mass conservation, as proposed in the study of cell polarity,particularly, the second model of \cite{oi07}. First, we show global-in-timeexistence of solution with compact orbit and then we examine stability andinstability of stationary solutions.}{Reaction diffusion system; massconservation; cell polarity; global-in-time behavior; Lyapunov function.

Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation