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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 proble...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Constable, George William Albert (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Fast Variables in Stochastic Population Dynamics  |h [electronic resource] /  |c by George William Albert Constable. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XVII, 163 p. 40 illus., 31 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5061 
505 0 |a  Introduction -- Technical Background.-  The Conditioning Method.-  The Projection Matrix Method.-  Metapopulation Moran Model Analysis -- Further Developments -- Conclusion. 
520 |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.  . 
650 0 |a System theory. 
650 0 |a Biotic communities. 
650 0 |a Population biology. 
650 0 |a Population genetics. 
650 0 |a Bioinformatics. 
650 1 4 |a Complex Systems. 
650 2 4 |a Community and Population Ecology. 
650 2 4 |a Population Genetics. 
650 2 4 |a Computational and Systems Biology. 
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776 0 8 |i Printed edition:  |z 9783319212173 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)