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|a Constable, George William Albert.
|e author.
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| 245 |
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|a Fast Variables in Stochastic Population Dynamics
|h [electronic resource] /
|c by George William Albert Constable.
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| 250 |
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|a 1st ed. 2015.
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| 264 |
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 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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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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1 |
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|a Springer eBook Collection
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| 505 |
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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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| 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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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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|a Sociophysics.
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| 650 |
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|a Econophysics.
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| 650 |
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|a Community ecology, Biotic.
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| 650 |
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|a Biomathematics.
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| 650 |
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|a Systems biology.
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| 650 |
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|a Biological systems.
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| 690 |
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