Small population effects in stochastic population dynamics

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...

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Bibliographic Details
Published inBulletin of mathematical biology Vol. 67; no. 6; pp. 1173 - 1194
Main Author Percus, Jerome K.
Format Journal Article
LanguageEnglish
Published United States Elsevier Ltd 01.11.2005
Springer Nature B.V
Subjects
Ecosystem
Models, Biological
Population Dynamics
Stochastic Processes
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Summary: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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ISSN:0092-8240
1522-9602
DOI:10.1016/j.bulm.2005.01.005