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Dynamical Systems and Population Persistence by Hal L Smith, Horst R Thieme

Dynamical Systems and Population Persistence

by Hal L Smith, Horst R Thieme
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Book cover type: Paperback
  • ISBN13: 9781470425616
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Orient Blackswan Pvt Ltd
  • Publisher Imprint: Orient Blackswan Pvt Ltd
  • Publication Date:
  • Pages: 424
  • Original Price: INR 1775.0
  • Language: English
  • Edition: N/A
  • Item Weight: 1060 grams
  • BISAC Subject(s): N/A

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 book provides a self-contained treatment of persistence theory that is accessible to graduate students. Applications play a large role from the beginning. These include ODE models such as 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.

Hal L Smith is Professor at the School of Mathematical and Statistical Sciences, College of Liberal Arts and Sciences, Arizona State University, Tempe, USA.

Horst R Thieme is Professor at the School of Mathematical and Statistical Sciences, College of Liberal Arts and Sciences, Arizona State University, Tempe, USA.

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