1-039-S-StochasticPopModels

By Dan Flath

Mathematics, Macalester College, St. Paul MN USA

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Abstract

We offer students the opportunity to develop several strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t. We go further and compare the mean population levels to the deterministic models from direct differential equations development.

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Researchers should cite this work as follows:

  • Dan Flath (2016), "1-039-S-StochasticPopModels," https://www.simiode.org/resources/2782.

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