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 shasticity, 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 shastic effects are present, it becomes less straightforward to apply.
While the introductory and background chapters form an excellent primer to the theory of shastic 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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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 shastic effects are present, it becomes less straightforward to apply.
While the introductory and background chapters form an excellent primer to the theory of shastic 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.
Fast Variables in Stochastic Population Dynamics
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 shasticity, 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 shastic effects are present, it becomes less straightforward to apply.
While the introductory and background chapters form an excellent primer to the theory of shastic 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.
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 shastic effects are present, it becomes less straightforward to apply.
While the introductory and background chapters form an excellent primer to the theory of shastic 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.
109.99
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Fast Variables in Stochastic Population Dynamics
163
Fast Variables in Stochastic Population Dynamics
163Paperback(Softcover reprint of the original 1st ed. 2015)
$109.99
109.99
In Stock
Product Details
| ISBN-13: | 9783319373843 |
|---|---|
| Publisher: | Springer International Publishing |
| Publication date: | 10/22/2016 |
| Series: | Springer Theses |
| Edition description: | Softcover reprint of the original 1st ed. 2015 |
| Pages: | 163 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.02(d) |
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