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On deterministic approximation of Markov processes by ordinary differential equations. (English) Zbl 0914.60035
Summary: For a class of Markov processes on the integer multidimensional lattice, it is shown that the evolution of the mean values of some random variables can be approximated by ordinary differential equations. To illustrate the approach, a Markov model of a chemical reaction is considered.

MSC:
60J05 Discrete-time Markov processes on general state spaces
92E20 Classical flows, reactions, etc. in chemistry
80A30 Chemical kinetics in thermodynamics and heat transfer
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