  We present p53-MDM2-Glucose model to study spatio-temporal properties of the
system induced by glucose. The variation in glucose concentration level
triggers the system at different states, namely, oscillation death
(stabilized), sustain and damped oscillations which correspond to various
cellular states. The transition of these states induced by glucose is phase
transition like behaviour. We also found that the intrinsic noise in stochastic
system helps the system to stabilize more effectively. Further, the amplitude
of $p53$ dynamics with the variation of glucose concentration level follows
power law behaviour, $A_s(k)\sim k^\gamma$, where, $\gamma$ is a constant.
