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AuthorZhao, Xiao-Qiang. author
TitleDynamical Systems in Population Biology [electronic resource] / by Xiao-Qiang Zhao
ImprintNew York, NY : Springer New York : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/978-0-387-21761-1
Descript XIII, 276 p. online resource

SUMMARY

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


CONTENT

1 Dissipative Dynamical Systems -- 2 Monotone Dynamics -- 3 Nonautonomous Semiflows -- 4 A Discrete-Time Chemostat Model -- 5 N-Species Competition in a Periodic Chemostat -- 6 Almost Periodic Competitive Systems -- 7 Competitorโ{128}{148}Competitorโ{128}{148}Mutualist Systems -- 8 A Periodically Pulsed Bioreactor Model -- 9 A Nonlocal and Delayed Predatorโ{128}{148}Prey Model -- 10 Traveling Waves in Bistable Nonlinearities -- References


Mathematics Dynamics Ergodic theory Biomathematics Mathematics Dynamical Systems and Ergodic Theory Genetics and Population Dynamics



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