Abstract
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.
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References
Bailey, N.T.J., The Elements of Stochastic Processes, John Wiley and Sons, New York, 1964.
Pielou, E.C., An Introduction to Mathematical Ecology, Wiley-Interscience, New York, 1969.
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© 1979 Education Development Center, Inc.
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Frauenthal, J.C. (1979). Stochastic Birth and Death Processes. In: Introduction to Population Modeling. The Umap Expository Monograph Series. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-7322-3_2
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DOI: https://doi.org/10.1007/978-1-4684-7322-3_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3015-7
Online ISBN: 978-1-4684-7322-3
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