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Stochastic Population ProcessesAnalysis, Approximations, Simulations$
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Eric Renshaw

Print publication date: 2011

Print ISBN-13: 9780199575312

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199575312.001.0001

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General Markov population processes

General Markov population processes

Chapter:
(p.107) 3 General Markov population processes
Source:
Stochastic Population Processes
Author(s):

Eric Renshaw

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199575312.003.0003

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

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