Dynamical systems in population biology /
Zhao, Xiao-Qiang.
Dynamical systems in population biology / Xiao-Qiang Zhao. - New York : Springer, 2003 - xiii, 276 p. ; 25 cm ill. ; - CMS books in mathematics ; 16 . - CMS books in mathematics ; 16. .
Includes references and index.
Dissipative Dynamical Systems -- Monotone Dynamics -- 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 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."--BOOK JACKET.
0387003088 (alk. paper)
2002044507
Population biology--Mathematical models.
Flows (Differentiable dynamical systems)
QH 352 / .Z53 2003
577.8/8
Dynamical systems in population biology / Xiao-Qiang Zhao. - New York : Springer, 2003 - xiii, 276 p. ; 25 cm ill. ; - CMS books in mathematics ; 16 . - CMS books in mathematics ; 16. .
Includes references and index.
Dissipative Dynamical Systems -- Monotone Dynamics -- 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 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."--BOOK JACKET.
0387003088 (alk. paper)
2002044507
Population biology--Mathematical models.
Flows (Differentiable dynamical systems)
QH 352 / .Z53 2003
577.8/8