Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model (Record no. 10300)
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fixed length control field | 03245nam a22004935i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-642-20530-9 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151329.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 110704s2011 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783642205309 |
-- | 978-3-642-20530-9 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-3-642-20530-9 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA273.A1-274.9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA274-274.9 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBT |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT029000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBT |
Source | thema |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBWL |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 519.2 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Nåsell, Ingemar. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Ingemar Nåsell. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XI, 199 p. 10 illus. in color. |
Other physical details | online resource. |
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-- | text |
-- | txt |
-- | rdacontent |
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-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
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347 ## - | |
-- | text file |
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-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Mathematical Biosciences Subseries, |
International Standard Serial Number | 2524-6771 ; |
Volume number/sequential designation | 2022 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1 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 ## - SUMMARY, ETC. | |
Summary, etc | This 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Distribution (Probability theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Life sciences. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Probability Theory and Stochastic Processes. |
-- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Life Sciences, general. |
-- | http://scigraph.springernature.com/things/product-market-codes/L00004 |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783642205293 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783642205316 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Mathematical Biosciences Subseries, |
-- | 2524-6771 ; |
Volume number/sequential designation | 2022 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-642-20530-9 |
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