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Extinction and Quasi-Stationa rity in the Stochastic Logistic SIS Model, Paper...
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Item specifics
- Condition
- Book Title
- Extinction and Quasi-Stationarity in the Stochastic Logistic SIS
- ISBN
- 9783642205293
- Subject Area
- Science, Mathematics
- Publication Name
- Extinction and Quasi-Stationarity in the Stochastic Logistic SiS Model
- Item Length
- 9.3 in
- Publisher
- Springer Berlin / Heidelberg
- Subject
- Probability & Statistics / General, Life Sciences / General, Life Sciences / Biology
- Publication Year
- 2011
- Series
- Lecture Notes in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 13.3 Oz
- Number of Pages
- Xi, 199 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642205291
ISBN-13
9783642205293
eBay Product ID (ePID)
109124427
Product Key Features
Publication Name
Extinction and Quasi-Stationarity in the Stochastic Logistic SiS Model
Format
Trade Paperback
Language
English
Subject
Probability & Statistics / General, Life Sciences / General, Life Sciences / Biology
Publication Year
2011
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xi, 199 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
13.3 Oz
Additional Product Features
LCCN
2011-930820
Intended Audience
Scholarly & Professional
Series Volume Number
2022
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Table of Content
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.
Copyright Date
2011
Dewey Decimal
577.88015118
Dewey Edition
23
Illustrated
Yes
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