Date and Time

Dynamical Systems and Population Persistence (Record no. 7331)

000 -LEADER
fixed length control field 02550cam a2200385 a 4500
001 - CONTROL NUMBER
control field 16425698
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160311123150.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100820s2011 riua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2010033476
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821849453 (alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470425616
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 082184945X (alk. paper)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)ocn658117196
040 ## - CATALOGING SOURCE
Transcribing agency iiserb
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Smith, Hal L.
9 (RLIN) 8194
222 ## - KEY TITLE
Key title mathematical collection
222 ## - KEY TITLE
Key title Gratis Collection
222 ## - KEY TITLE
Key title Gratis
222 ## - KEY TITLE
Key title mathematics
245 10 - TITLE STATEMENT
Title Dynamical Systems and Population Persistence
Statement of responsibility, etc Hal L. Smith, Horst R. Thieme.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc c2011.
300 ## - PHYSICAL DESCRIPTION
Extent xvii, 405 p. :
Other physical details ill. ;
Dimensions 27 cm.
490 1# - SERIES STATEMENT
Series statement Graduate studies in mathematics ;
Volume number/sequential designation v. 118
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc "The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to infinite-dimensional as well as to finite-dimensional dynamical systems, and to discrete-time as well as to continuous-time semiflows. This monograph provides a self-contained treatment of persistence theory that is accessible to graduate students. The key results for deterministic autonomous systems are proved in full detail such as the acyclicity theorem and the tripartition of a global compact attractor. Suitable conditions are given for persistence to imply strong persistence even for nonautonomous semiflows, and time-heterogeneous persistence results are developed using so-called 'average Lyapunov functions'. Applications play a large role in the monograph from the beginning. These include ODE models such as an SEIRS infectious disease in a meta-population and discrete-time nonlinear matrix models of demographic dynamics. Entire chapters are devoted to infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured model of cells growing in a chemostat."--Publisher's description.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Biology
General subdivision Mathematical models.
9 (RLIN) 8195
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Population biology.
9 (RLIN) 8196
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Thieme, Horst R.,
Dates associated with a name 1948-
9 (RLIN) 8197
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate studies in mathematics ;
Volume number/sequential designation v. 118.
9 (RLIN) 8198
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 7
b cbc
c orignew
d 1
e ecip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Shelving location Current Location Lost status Price effective from Source of classification or shelving scheme Date acquired Koha item type Permanent Location Barcode Date last seen Not for loan Full call number Withdrawn status Damaged status
General SectionCentral Library, IISER Bhopal 2016-03-10 2016-03-10BooksCentral Library, IISER BhopalG03512016-03-10 515.39 Sm58D  



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