Xiao-Qiang Zhao

Dynamical Systems in Population Biology (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 276
• Erscheinungstermin: 5. Juni 2013
• Englisch
• ISBN-13: 9780387217611
• Artikelnr.: 44058516

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

"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)