Mathematics for Ecology and Environmental Sciences [Paperback]

This volume discusses the rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. It provides a fascinating survey of the theory of dynamical systems in ecology and environmental science. Each chapter introduces students and scholars to the state-of-the-art in an exciting area, presents new results, and inspires future contributions to mathematical modeling in ecology and environmental sciences.

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.

Ecology as a Modern Science.- Physiologically Structured Population Models: Towards a General Mathematical Theory.- A Survey of Indirect Reciprocity.- The Effects of Migration on Persistence and Extinction.- Sexual Reproduction Process on One-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.

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 pló'