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Integrability of Stochastic Birth-Death processes via Differential Galois Theory
2020
Mathematical Modelling of Natural Phenomena
Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (the so-called master equation) describes the time-dependence of the probability of each system state. Using a generating function, the master equation can be transformed into a partial differential equation. In this contribution we analyze the integrability of two types of stochastic birth-death processes (with
doi:10.1051/mmnp/2020005
fatcat:rd5zjxwnlfgz5l5hayglb7oadu