Ebook: Mathematics for Ecology and Environmental Sciences
- Tags: Mathematical Biology in General, Community &Population Ecology, Genetics and Population Dynamics, Complexity, Biophysics/Biomedical Physics, Math. Appl. in Environmental Science
- Series: Biological and Medical Physics Biomedical Engineering
- Year: 2007
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages I-X
Ecology as a Modern Science....Pages 1-3
Physiologically Structured Population Models: Towards a General Mathematical Theory....Pages 5-20
A Survey of Indirect Reciprocity....Pages 21-49
The Effects of Migration on Persistence and Extinction....Pages 51-80
Sexual Reproduction Process on One-Dimensional Stochastic Lattice Model....Pages 81-92
A Mathematical Model of Gene Transfer in a Biofilm....Pages 93-123
Nonlinearity and Stochasticity in Population Dynamics....Pages 125-144
The Adaptive Dynamics of Community Structure....Pages 145-177
Back Matter....Pages 179-183
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.
Content:
Front Matter....Pages I-X
Ecology as a Modern Science....Pages 1-3
Physiologically Structured Population Models: Towards a General Mathematical Theory....Pages 5-20
A Survey of Indirect Reciprocity....Pages 21-49
The Effects of Migration on Persistence and Extinction....Pages 51-80
Sexual Reproduction Process on One-Dimensional Stochastic Lattice Model....Pages 81-92
A Mathematical Model of Gene Transfer in a Biofilm....Pages 93-123
Nonlinearity and Stochasticity in Population Dynamics....Pages 125-144
The Adaptive Dynamics of Community Structure....Pages 145-177
Back Matter....Pages 179-183
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