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...
| Published in: | Springer eBooks |
|---|---|
| Main Author: | |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edition: | 1st ed. 2015. |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research,
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-21218-0 Перейти в каталог НБ ТГУ |
| LEADER | 03438nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | vtls000560436 | ||
| 003 | RU-ToGU | ||
| 005 | 20210922090245.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170212s2015 gw | s |||| 0|eng d | ||
| 020 | |a 9783319212180 |9 978-3-319-21218-0 | ||
| 024 | 7 | |a 10.1007/978-3-319-21218-0 |2 doi | |
| 035 | |a to000560436 | ||
| 039 | 9 | |y 201702122331 |z Александр Эльверович Гилязов | |
| 040 | |a Springer |c Springer |d RU-ToGU | ||
| 050 | 4 | |a QC1-999 | |
| 072 | 7 | |a JHBC |2 bicssc | |
| 072 | 7 | |a PSAF |2 bicssc | |
| 072 | 7 | |a SCI064000 |2 bisacsh | |
| 082 | 0 | 4 | |a 621 |2 23 |
| 100 | 1 | |a Constable, George William Albert. |e author. |9 467676 | |
| 245 | 1 | 0 | |a Fast Variables in Stochastic Population Dynamics |h electronic resource |c by George William Albert Constable. |
| 250 | |a 1st ed. 2015. | ||
| 260 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. |9 742221 | ||
| 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 | ||
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5053 | |
| 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 physics. |9 566227 | |
| 650 | 0 | |a Community ecology, Biotic. |9 295657 | |
| 650 | 0 | |a Biomathematics. |9 460190 | |
| 650 | 0 | |a Systems Biology. |9 332681 | |
| 650 | 0 | |a Biological systems. |9 461044 | |
| 650 | 0 | |a Sociophysics. |9 461141 | |
| 650 | 0 | |a Econophysics. |9 461142 | |
| 650 | 1 | 4 | |a Physics. |9 566228 |
| 650 | 2 | 4 | |a Socio- and Econophysics, Population and Evolutionary Models. |9 411047 |
| 650 | 2 | 4 | |a Community & Population Ecology. |9 295663 |
| 650 | 2 | 4 | |a Genetics and Population Dynamics. |9 304137 |
| 650 | 2 | 4 | |a Biological Networks, Systems Biology. |9 410909 |
| 710 | 2 | |a SpringerLink (Online service) |9 143950 | |
| 773 | 0 | |t Springer eBooks | |
| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |9 567110 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-21218-0 |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=415307 | ||
| 912 | |a ZDB-2-PHA | ||
| 950 | |a Physics and Astronomy (Springer-11651) | ||
| 999 | |c 415307 |d 415307 | ||