A WKB method on forward and backward master equations yields accurate short-time asymptotics for extinction and blowup time distributions in stochastic reactions, including the pre-factor, and is confirmed on exact solvable examples.
Allen,Stochastic Population and Epidemic Models — Persistence and Extinction(Springer, Berlin, 2015)
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Short-time statistics of extinction and blowup in reaction kinetics
A WKB method on forward and backward master equations yields accurate short-time asymptotics for extinction and blowup time distributions in stochastic reactions, including the pre-factor, and is confirmed on exact solvable examples.