Describing the spread of biological populations using stochastic compartmental models with births.

@article{Matis1995DescribingTS,
  title={Describing the spread of biological populations using stochastic compartmental models with births.},
  author={James H. Matis and Qi Zheng and Thomas R. Kiffe},
  journal={Mathematical biosciences},
  year={1995},
  volume={126 2},
  pages={215-47}
}
This paper derives new models for describing the spread of biological populations in space and time from classical birth-death-migration processes. The spatial aspect is incorporated using compartmental analysis and is developed for two spatial areas (or compartments). The exact bivariate distributions for such processes are intractable; hence approximating distributions are constructed by matching cumulants. A basic Markovian model with exponential waiting times between births is investigated… CONTINUE READING

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