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Dynamical Systems and Population Persistence (Graduate Studies in Mathematics)
Horst R. Thieme Hal L. Smith
€ 152.83
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Description for Dynamical Systems and Population Persistence (Graduate Studies in Mathematics)
Hardcover. Providing a self-contained treatment of persistence theory that is accessible to graduate students, this monograph includes chapters on 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. Series: Graduate Studies in Mathematics. Num Pages: 411 pages, illustrations. BIC Classification: PBW. Category: (P) Professional & Vocational. Dimension: 229 x 152. .
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
American Mathematical Society
Number of pages
411
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
405
Place of Publication
Providence, United States
ISBN
9780821849453
SKU
V9780821849453
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Horst R. Thieme Hal L. Smith
Hal L. Smith, Arizona State University, Tempe, AZ, USA Horst R. Thieme, Arizona State University, Tempe, AZ, USA
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