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Fast Variables in Stochastic Population Dynamics
George William Albert Constable
出版Springer, 2015-07-25
主題Science / System TheoryScience / Life Sciences / EcologyMathematics / AppliedScience / Life Sciences / BiophysicsSocial Science / ResearchScience / Physics / AstrophysicsScience / Life Sciences / Zoology / GeneralScience / Life Sciences / General
ISBN33192121849783319212180
URLhttp://books.google.com.hk/books?id=D9lECgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.