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150804 ||| eng |
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|a 9783319212180
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| 100 |
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|a Constable, George William Albert
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| 245 |
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|a Fast Variables in Stochastic Population Dynamics
|h Elektronische Ressource
|c by George William Albert Constable
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| 250 |
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|a 1st ed. 2015
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2015, 2015
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| 300 |
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|a XVII, 163 p. 40 illus., 31 illus. in color
|b online resource
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| 505 |
0 |
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|a Introduction -- Technical Background.- The Conditioning Method.- The Projection Matrix Method.- Metapopulation Moran Model Analysis -- Further Developments -- Conclusion
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| 653 |
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|a Data-driven Science, Modeling and Theory Building
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| 653 |
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|a Sociophysics
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| 653 |
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|a Systems biology
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| 653 |
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|a Econophysics
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| 653 |
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|a Community & Population Ecology
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| 653 |
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|a Community ecology, Biotic
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| 653 |
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|a Biomathematics
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| 653 |
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|a Biological systems
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| 653 |
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|a Systems Biology
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| 653 |
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|a Genetics and Population Dynamics
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Springer Theses, Recognizing Outstanding Ph.D. Research
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-319-21218-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 621
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| 520 |
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|a In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem. When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology.
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