Stochastic models in population biology and their deterministic analogs.

@article{McKane2004StochasticMI,
  title={Stochastic models in population biology and their deterministic analogs.},
  author={Alan J. McKane and Timothy Newman},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2004},
  volume={70 4 Pt 1},
  pages={041902}
}
We introduce a class of stochastic population models based on "patch dynamics." The size of the patch may be varied, and this allows one to quantify the departures of these stochastic models from various mean-field theories, which are generally valid as the patch size becomes very large. These models may be used to formulate a broad range of biological processes in both spatial and nonspatial contexts. Here, we concentrate on two-species competition. We present both a mathematical analysis of… CONTINUE READING
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