In a minimal birth-death-diffusion model, suppressing birth processes makes the quasi-stationary state initial-condition dependent via vanishing inter-class escape rates, changing critical exponents at absorbing transitions.
Thus based on these phenomenological arguments, ρs = 0 d< 0 d 0≤d< 1 & bd≤1 1 otherwise
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Absorbing phase transitions with memory in critical scaling
In a minimal birth-death-diffusion model, suppressing birth processes makes the quasi-stationary state initial-condition dependent via vanishing inter-class escape rates, changing critical exponents at absorbing transitions.