Click Here to Download: https://ouo.io/4SpNm4 Fast Variables in Stochastic Population Dynamics By: George William Albert Constable Publisher: Springer Print ISBN: 9783319212173, 3319212176 eText ISBN: 9783319212180, 3319212184 Copyright year: 2015 Format: PDF Available from $ 99.00 USD SKU 9783319212180 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.
