Chapter

Two‐species interaction 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/9780199575312.003.0008
Two‐species interaction processes

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This chapter derives specific results for the bivariate logistic process in the contexts of competition, and predator-prey and epidemic processes. Here minor modifications to the transition rates cause substantial changes in the structure of stochastic realizations. Earlier discussions on cumulative size and power-law processes are woven into the discussion, and strong emphasis is placed on the development of computer simulation algorithms.

Keywords: bivariate logistic process; competition processes; predator-prey processes; epidemic processes

Chapter.  45882 words.  Illustrated.

Subjects: Applied Mathematics

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