Stochastic Birth and Death Processes

  • James C. Frauenthal
Part of the The Umap Expository Monograph Series book series (UMAP)


In this section we will study two models for the growth of a single species population. We will recognize that in nature, births and deaths do not occur with clockwork precision, but rather happen probabilistically. Although this will complicate the mathematics considerably, one added aspect of reality will become available. Specifically, we will be able always to deal with integer numbers of organisms, thus avoiding the limitations inherent to models in which population size is treated as a continuous variable.


Population Size Probabilistic Analog Initial Population Size Death Model Single Species Population 
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  1. Bailey, N.T.J., The Elements of Stochastic Processes, John Wiley and Sons, New York, 1964.MATHGoogle Scholar
  2. Pielou, E.C., An Introduction to Mathematical Ecology, Wiley-Interscience, New York, 1969.MATHGoogle Scholar

Copyright information

© Education Development Center, Inc. 1979

Authors and Affiliations

  • James C. Frauenthal
    • 1
  1. 1.Applied Mathematics and StatisticsState University of New YorkStony BrookUSA

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