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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Published in | Bulletin of mathematical biology Vol. 67; no. 6; pp. 1173 - 1194 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
United States
Elsevier Ltd
01.11.2005
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0092-8240 1522-9602 |
DOI: | 10.1016/j.bulm.2005.01.005 |