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  • Book
  • © 2007

Mathematics for Ecology and Environmental Sciences

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
  2. Ecology as a Modern Science

    • Kazunori Sato, Yoh Iwasa, Yasuhiro Takeuchi
    Pages 1-3
  3. A Survey of Indirect Reciprocity

    • Hannelore Brandt, Hisashi Ohtsuki, Yoh Iwasa, Karl Sigmund
    Pages 21-49
  4. The Effects of Migration on Persistence and Extinction

    • Jingan Cui, Yasuhiro Takeuchi
    Pages 51-80
  5. A Mathematical Model of Gene Transfer in a Biofilm

    • Mudassar Imran, Hal L. Smith
    Pages 93-123
  6. The Adaptive Dynamics of Community Structure

    • Ulf Dieckmann, Ã…ke 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.

Reviews

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)

Editors and Affiliations

  • Faculty of Engineering Department of Systems Engineering, Shizuoka University, Shizuoka, Japan

    Yasuhiro Takeuchi, Kazunori Sato

  • Department of Biology, Kyushu University, Fukuoka, Japan

    Yoh Iwasa

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access