Overview
- Serves as a comprehensive reference book for researchers in applied dynamical systems and mathematical biology
- Includes prototypical models in population ecology and epidemiology
- Provides a combination of theory, methods, and applications
Part of the book series: CMS Books in Mathematics (CMSBM)
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About this book
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, basic reproduction ratios, traveling waves, and global analysis of prototypical population models in ecology and epidemiology.
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 University Research Professor 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 100 papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform persistence, and basic reproduction ratios.
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Keywords
Table of contents (14 chapters)
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Front Matter
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Back Matter
Reviews
“In this interesting book an introduction to the theory of nonautonomous semiows on metric spaces is presented and several applications to population dynamics are given. More attention is paid to periodic and almost periodic models. … The mathematician interested in mathematical biology will find this book useful. It may be used as a supplementary textbook for graduate topics related to applications of dynamical systems on mathematical biology. The book includes an impressive list of references.” (George Karakostas, zbMATH 13.93.37.003, 2018)
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Dynamical Systems in Population Biology
Authors: Xiao-Qiang Zhao
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-56433-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-56432-6Published: 25 April 2017
Softcover ISBN: 978-3-319-85911-8Published: 25 July 2018
eBook ISBN: 978-3-319-56433-3Published: 11 April 2017
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 2
Number of Pages: XV, 413
Topics: Dynamical Systems and Ergodic Theory, Mathematics of Planet Earth, Genetics and Population Dynamics