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© 2017

Dynamical Systems in Population Biology

Book

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Xiao-Qiang Zhao
    Pages 1-41
  3. Xiao-Qiang Zhao
    Pages 43-75
  4. Xiao-Qiang Zhao
    Pages 77-117
  5. Xiao-Qiang Zhao
    Pages 119-129
  6. Xiao-Qiang Zhao
    Pages 131-153
  7. Xiao-Qiang Zhao
    Pages 155-180
  8. Xiao-Qiang Zhao
    Pages 181-211
  9. Xiao-Qiang Zhao
    Pages 213-240
  10. Xiao-Qiang Zhao
    Pages 241-263
  11. Xiao-Qiang Zhao
    Pages 265-284
  12. Xiao-Qiang Zhao
    Pages 285-315
  13. Xiao-Qiang Zhao
    Pages 317-336
  14. Xiao-Qiang Zhao
    Pages 337-359
  15. Xiao-Qiang Zhao
    Pages 361-384
  16. Back Matter
    Pages 385-413

About this book

Introduction

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.

Keywords

Global Attractors Uniform Persistence Coexistence States Monotone Dynamics Nonautonomous Semiflows Population Models Periodic Solutions Traveling Waves Basic Reproduction Ratios Principal Eigenvalues

Authors and affiliations

  1. 1.Department of Mathematics and StatisticsMemorial University of NewfoundlandSt. John’sCanada

About the authors

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

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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)