Chapter

General Markov population processes

Eric Renshaw

in Stochastic Population Processes

Published in print February 2011 | ISBN: 9780199575312
Published online September 2011 | e-ISBN: 9780191728778 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199575312.003.0003
General Markov population processes

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Since any Markov population that either increases or decreases by one at each event can be expressed in terms of a general birth-death process, this topic is introduced at the start of this chapter. The examples presented demonstrate models with single and multiple equilibria, and highlight the role played by moment closure and the saddlepoint approximation in the derivation of approximate stochastic solutions.

Keywords: Markov population; moment closure; saddlepoint approximation; stochastic solutions

Chapter.  48834 words.  Illustrated.

Subjects: Applied Mathematics

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