Dynamical Systems and Population Persistence - Softcover

Hal L. Smith

Softcover

ISBN 10: 1470425610 ISBN 13: 9781470425616

Publisher: Orient Blackswan, 2016

Synopsis

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.

Edition details

• Publisher: Orient Blackswan
• Publication date: 2016
• Language: English
• ISBN 10: 1470425610
• ISBN 13: 9781470425616
• Binding: Paperback
• Edition number: 1
• Number of pages: 424