© 2007

Mathematics for Ecology and Environmental Sciences

  • Yasuhiro Takeuchi
  • Yoh Iwasa
  • Kazunori Sato


  • A fascinating survey of the theory of dynamical systems in ecology and environmental science

  • An accessible introduction for students, also including much food-for-thought for researchers


Part of the Biological and Medical Physics, Biomedical Engineering book series (BIOMEDICAL)

Table of contents

  1. Front Matter
    Pages I-X
  2. Kazunori Sato, Yoh Iwasa, Yasuhiro Takeuchi
    Pages 1-3
  3. Hannelore Brandt, Hisashi Ohtsuki, Yoh Iwasa, Karl Sigmund
    Pages 21-49
  4. Jingan Cui, Yasuhiro Takeuchi
    Pages 51-80
  5. Mudassar Imran, Hal L. Smith
    Pages 93-123
  6. Ulf Dieckmann, Åke Brännström, Reinier HilleRisLambers, Hiroshi C. Ito
    Pages 145-177
  7. Back Matter
    Pages 179-183

About this book


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.


Differential equations Dynamical systems theory Mathematical biology Mathematical ecology Migration Population dynamics biology ecology environment genes mathematical modeling

Editors and affiliations

  • Yasuhiro Takeuchi
    • 1
  • Yoh Iwasa
    • 2
  • Kazunori Sato
    • 1
  1. 1.Faculty of Engineering Department of Systems EngineeringShizuoka UniversityShizuokaJapan
  2. 2.Department of BiologyKyushu UniversityFukuokaJapan

About the editors

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.

Bibliographic information


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)