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Dynamical Systems in Population Biology


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Table of Contents

Dissipative Dynamical Systems.- Monotone Dynammics.- 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.- The Theory of Basic Reproduction Ratios.- A Population Model with Periodic Delay.- A Periodic Reaction-Diffusion SIS Model.- A Nonlocal Spatial Model for Lyme Disease.

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.


"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, 2018)

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