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.4.2.1 Population size How does migration affect the population sizes? This is a basic but important issue. As a standard and not too unrealistic specific example, let us assume that local dynamics are given by the logistic model, and 52 Jingan anbsp;...
|Title||:||Mathematics for Ecology and Environmental Sciences|
|Author||:||Yasuhiro Takeuchi, Yoh Iwasa, Kazunori Sato|
|Publisher||:||Springer Science & Business Media - 2007-01-19|