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Dynamical Systems in Population Biology (CMS Books in Mathematics 16) 289 pages - hardback Springer-Verlag New York Inc. - (isbn 0-387-00308-8) May. 2003 |
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| Price: |
112,01 EUR
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| Author(s): |
Zhao, Xiao-Qiang
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| Series Editor: |
Borwein, Jonathan / Borwein, Peter
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| Description: |
The
conjoining of nonlinear dynamics and biology has brought about
significant advances in both areas, with nonlinear dynamics providing a
tool for understanding biological phenomena and biology stimulating
developments in the theory of dynamical systems. This research
monograph provides an introduction to the theory of nonautonomous
semiflows with applications to population dynamics. It develops
dynamical system approaches to various evolutionary equations such as
difference, ordinary, functional, and partial differential equations,
and pays more attention to periodic and almost periodic phenomena. The
presentation includes persistence theory, monotone dynamics, periodic
and almost periodic semiflows, traveling waves, and global analysis of
typical models in population biology. Research mathematicians working
with nonlinear dynamics, particularly those interested in applications
to biology, will find this book useful. It may also be used as a
textbook or as supplementary reading for a graduate special topics
course on the theory and applications of dynamical systems. Dr.
Xiao-Qiang Zhao is a professor in applied mathematics at Memorial
University of Newfoundland, Canada. His main research interests involve
applied dynamical systems, nonlinear differential equations, and
mathematical biology. He is the author of more than 40 papers and his
research has played an important role in the development of the theory
of periodic and almost periodic semiflows and their applications.
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| Contents List: |
Introduction
* Discrete Dynamical Systems * Monotone Dynamics * Nonautonomous
Semiflows * A Discrete-time Chemostat Model * N-species Competition in
a Periodic Chemostat * Almost Periodic Competitive Systems *
Competitor-Competitor-Mutualist Systems * A Periodically Pulsed
Bioreactor Model * A Nonlocal and Delayed Predator-Prey Model *
Traveling Waves in Bistable Nonlinearities * Bibliography * Index.
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| Weight: | 544 g | |||||||
| Dimensions: | 230 | |||||||
| Publisher: | Springer-Verlag New York Inc. | |||||||
| Springer-Verlag | ||||||||