One-Dimensional Birth-Death Process and Delbrück-Gillespie Theory of Mesoscopic Nonlinear Chemical Reactions

Yunxin Zhang, Hao Ge, Hong Qian

As a mathematical theory for the stochasstic, nonlinear dynamics of individuals within a population, Delbrück-Gillespie process (DGP) $n(t)\in {\mathbb{Z}}^N$, is a birth-death system…