Fast variables in stochastic populat...
Constable, George William Albert.

 

  • Fast variables in stochastic population dynamics[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 519.23
    書名/作者: Fast variables in stochastic population dynamics/ by George William Albert Constable.
    作者: Constable, George William Albert.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: xvii, 163 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Random variables.
    標題: Stochastic processes.
    標題: Population biology - Statistical methods.
    標題: Physics.
    標題: Socio- and Econophysics, Population and Evolutionary Models.
    標題: Community & Population Ecology.
    標題: Genetics and Population Dynamics.
    標題: Biological Networks, Systems Biology.
    ISBN: 9783319212180 (electronic bk.)
    ISBN: 9783319212173 (paper)
    內容註:  Introduction -- Technical Background -- The Conditioning Method -- The Projection Matrix Method -- Metapopulation Moran Model Analysis -- Further Developments -- Conclusion.
    摘要、提要註:  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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-21218-0
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