Advertisement

Dynamical Systems in Population Biology

  • Xiao-Qiang Zhao

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Xiao-Qiang Zhao
    Pages 1-35
  3. Xiao-Qiang Zhao
    Pages 37-61
  4. Xiao-Qiang Zhao
    Pages 63-99
  5. Xiao-Qiang Zhao
    Pages 101-110
  6. Xiao-Qiang Zhao
    Pages 111-132
  7. Xiao-Qiang Zhao
    Pages 133-158
  8. Xiao-Qiang Zhao
    Pages 159-188
  9. Xiao-Qiang Zhao
    Pages 189-216
  10. Xiao-Qiang Zhao
    Pages 217-239
  11. Xiao-Qiang Zhao
    Pages 241-260
  12. Back Matter
    Pages 261-276

About this book

Introduction

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.

Keywords

Dynamical system biology evolution nonlinear dynamics partial differential equation population

Authors and affiliations

  • Xiao-Qiang Zhao
    • 1
  1. 1.Department of Mathematics and StatisticsMemorial University of NewfoundlandSt. John’sCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21761-1
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-1815-4
  • Online ISBN 978-0-387-21761-1
  • Series Print ISSN 1613-5237
  • Buy this book on publisher's site