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Small population effects in stochastic population dynamics.

Jerome K Percus
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Abstract

The discreteness of units of small populations can produce large fluctuations from a classical continuous representation, especially when null populations play a crucial role. These belong to what are here referred to as emergent and evanescent species. A few model biological systems are introduced in which this is the case, as well as a toy model that suggests a path to avoid the associated mathematical complexities. The corresponding division into null and non-null population sectors is carried out to leading order for the model systems, with promising results.

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EcosystemModels, BiologicalPopulation DynamicsStochastic ProcessesJournal Article

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Jerome K Percus. 2005. Small population effects in stochastic population dynamics.. https://doi.org/10.1016/j.bulm.2005.01.005

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