000 | 03032nam a22004935i 4500 | ||
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001 | 978-3-642-20530-9 | ||
003 | DE-He213 | ||
005 | 20140220083801.0 | ||
007 | cr nn 008mamaa | ||
008 | 110704s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642205309 _9978-3-642-20530-9 |
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024 | 7 |
_a10.1007/978-3-642-20530-9 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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072 | 7 |
_aPBWL _2bicssc |
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072 | 7 |
_aMAT029000 _2bisacsh |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aNåsell, Ingemar. _eauthor. |
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245 | 1 | 0 |
_aExtinction and Quasi-Stationarity in the Stochastic Logistic SIS Model _h[electronic resource] / _cby Ingemar Nåsell. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2011. |
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300 |
_aXI, 199 p. 10 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2022 |
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505 | 0 | _a1 Introduction -- 2 Model Formulation -- 3 A Birth-Death Process with Finite State Space and with an Absorbing State at the Origin -- 4 The SIS Model: First Approximations of the Quasi-Stationary Distribution -- 5 Some Approximations Involving the Normal Distribution -- 6 Preparations for the Study of the Stationary Distribution p(1) of the SIS Model -- 7 Approximation of the Stationary Distribution p(1) of the SIS Model -- 8 Preparations for the Study of the Stationary Distribution p(0) of the SIS Model -- 9 Approximation of the Stationary Distribution p(0) of the SIS Model -- 10 Approximation of Some Images UnderY for the SIS Model -- 11 Approximation of the Quasi-Stationary Distribution q of the SIS Model -- 12 Approximation of the Time to Extinction for the SIS Model -- 13 Uniform Approximations for the SIS Model -- 14 Thresholds for the SIS Model -- 15 Concluding Comments. | |
520 | _aThis volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aLife sciences. | |
650 | 0 | _aDistribution (Probability theory). | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
650 | 2 | 4 | _aLife Sciences, general. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642205293 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2022 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-20530-9 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c107803 _d107803 |