Dynamical Systems for Biological Modeling: An Introduction

Author:   Fred Brauer ,  Christopher Kribs ,  Louis J. Gross ,  Suzanne Lenhart
Publisher:   Taylor & Francis Ltd
ISBN:  

9781420066418


Pages:   492
Publication Date:   22 December 2015
Format:   Hardback
Availability:   In Print   Availability explained
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Dynamical Systems for Biological Modeling: An Introduction


Overview

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems. The approach emphasizes qualitative ideas rather than explicit computations. Some technical details are necessary, but a qualitative approach emphasizing ideas is essential for understanding. The modeling approach helps students focus on essentials rather than extensive mathematical details, which is helpful for students whose primary interests are in sciences other than mathematics need or want. The book discusses a variety of biological modeling topics, including population biology, epidemiology, immunology, intraspecies competition, harvesting, predator-prey systems, structured populations, and more. The authors also include examples of problems with solutions and some exercises which follow the examples quite closely. In addition, problems are included which go beyond the examples, both in mathematical analysis and in the development of mathematical models for biological problems, in order to encourage deeper understanding and an eagerness to use mathematics in learning about biology.

Full Product Details

Author:   Fred Brauer ,  Christopher Kribs ,  Louis J. Gross ,  Suzanne Lenhart
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Weight:   0.860kg
ISBN:  

9781420066418


ISBN 10:   1420066412
Pages:   492
Publication Date:   22 December 2015
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

ELEMENTARY TOPICS. Introduction to Biological Modeling. Difference Equations (Discrete Dynamical Systems). First-Order Differential Equations (Continuous Dynamical Systems). Nonlinear Differential Equations. MORE ADVANCED TOPICS. Systems of Differential Equations. Topics in Modeling Systems of Populations. Systems with Sustained Oscillations and Singularities. APPENDICES. An Introduction to the Use of MapleTM. Taylor’s Theorem and Linearization. Location of Roots of Polynomial Equations. Stability of Equilibrium of Difference Equations. Answers to Selected Exercises. Bibliography.

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Author Information

University of British Columbia, Vancouver BC, Canada University of Texas at Arlington, USA University of Tennessee, Knoxville, USA University of Tennessee, Knoxville, Tennessee, USA University of Oxford, Oxford, England University of Oxford, England Georgia Tech & Emory University, Atlanta, Georgia, USA Macquarie University, Sydney, New South Wales, Australia Dynamix Pharmaceuticals Ltd

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Latest Reading Guide

NOV RG 20252

 

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