Dynamical systems and population persistence / (Record no. 147881)

000 -LEADER
fixed length control field 02492cam a2200349 a 4500
001 - CONTROL NUMBER
control field 16425698
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170504104438.0
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 082184945X (alk. paper)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)ocn658117196
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency OUSL
Modifying agency YDX
-- YDXCP
-- MUU
-- CHRRO
-- UBY
-- DLC
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QH323.5
Item number .S58 2011
072 #7 - SUBJECT CATEGORY CODE
Subject category code s1ma
Source rero
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 577.88
Edition number 22
Item number S53
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Smith, Hal L.
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)
Place of publication, distribution, etc. Providence, R.I. :
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. 2011.
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/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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Population biology.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Thieme, Horst R.,
Dates associated with a name 1948-
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate studies in mathematics ;
Volume number/sequential designation v. 118.
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 Lending Books
Holdings
Price effective from Date last seen Permanent Location Not for loan Date acquired Source of classification or shelving scheme Koha item type Lost status Cost, normal purchase price Withdrawn status Copy number Inventory number Source of acquisition Cost, replacement price Collection code Damaged status Barcode Current Location Full call number
2017-02-182017-02-13OUSL- Main Library  2017-02-18 Lending Books 10244.80 135485135485410244.80General Collection 135485OUSL- Main Library 577.88 S53

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