190 pages, 50 illus
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to discuss the many rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. The main topics include population dynamics with dispersal, nonlinear discrete population dynamics, structured population models, mathematical models in evolutionary ecology, stochastic spatial models in ecology, game dynamics and the chemostat model. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present important new results, and to inspire future contributions to mathematical modeling in ecology and environmental sciences.
From the reviews: "Interest in and sophistication with mathematical modeling in environmental science has grown significantly in the last decade, spurred at least in part by issues of global warming. Mathematics for Ecology and Environmental Sciences is a collection of papers from a 2004 conference ! . The current volume concentrates on population dynamics in a broad sense. ! This small volume is ! a good introduction to the field for non-specialists who want to sample the area." (Bill Satzer, MathDL, May, 2007)
Ecology as a Modern Science.- Physiologically Structured Population Models: Towards a General Mathematical Theory.- A Survey on Indirect Reciprocity.- The Effects of Migration on Persistence and Extinction.- Sexual Reproduction Process on 1-Dimensional Stochastic Lattice Model.- A Mathematical Model of Gene Transfer in a Biofilm.- Nonlinearity and Stochasticity in Population Dynamics.- The Adaptive Dynamics of Community Structure.
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Y.Takeuchi is a professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1979. He received his B.Eng.(1974), M.Eng.(1976) and Ph.D.(1979) at Kyoto University. In 1986, 1992, 1998, 2000 and 2002, Dr. Takeuchi was a visiting professor at Universita di Urbino, and in 1987-1988, at University of Alberta. Y. Iwasa is a professor of Department of Biology, Faculty of Sciences, Kyushu University, Japan, where he has been on the faculty since 1985. He received his B.S.(1975), M.Eng.(1977) and Ph.D.(1980) at Kyoto University. In 2003 and 2004, Dr. Iwasa was a visiting professor at Harvard University, and in 2002-2003 a member of Institute of Advanced Study, Princeton. K. Sato is an associate professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1996. He received his B.Sci.(1988) at University of Tsukuba, M.Sci.(1990) and Ph.D.(1993) at Kyushu University. From 1994 to 1996, Dr. Sato was a lecturer and an associate professor at Muroran Institute of Technology.