Stochastic models in population biology and their deterministic analogs

A. J. McKane; T. J. Newman

doi:10.1103/PhysRevE.70.041902

Stochastic models in population biology and their deterministic analogs

A. J. McKane, T. J. Newman

Research output: Contribution to journal › Article › peer-review

Abstract

Stochastic population models based on patch dynamics were investigated. It was observed that the size of the patch may be varied and which quantification of the departures of the stochastic models from mean field theories. It was also observed that the mean field equations differed from the equations written down on phenomenological grounds. The results show that mean-field theory is more robust for spatial models than for a single isolated patch.

Original language	English
Article number	041902
Pages (from-to)	1-41902
Number of pages	41901
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.70.041902
Publication status	Published - Oct 2004

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title = "Stochastic models in population biology and their deterministic analogs",

abstract = "Stochastic population models based on patch dynamics were investigated. It was observed that the size of the patch may be varied and which quantification of the departures of the stochastic models from mean field theories. It was also observed that the mean field equations differed from the equations written down on phenomenological grounds. The results show that mean-field theory is more robust for spatial models than for a single isolated patch.",

author = "McKane, {A. J.} and Newman, {T. J.}",

year = "2004",

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AB - Stochastic population models based on patch dynamics were investigated. It was observed that the size of the patch may be varied and which quantification of the departures of the stochastic models from mean field theories. It was also observed that the mean field equations differed from the equations written down on phenomenological grounds. The results show that mean-field theory is more robust for spatial models than for a single isolated patch.

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DO - 10.1103/PhysRevE.70.041902

M3 - Article

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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Stochastic models in population biology and their deterministic analogs

Abstract

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