MARC details
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 |
Dewey Decimal Classification |
Koha item type |
Books |