Dynamical Systems for Biological Modeling

An Introduction

Fred Brauer, Christopher Kribs, Louis J. Gross , Suzanne Lenhart

$204

Hardback

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English

Chapman & Hall/CRC
22 December 2015

Differential calculus & equations

Series: Advances in Applied Mathematics

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.

By: Fred Brauer, Christopher Kribs
Series edited by: Louis J. Gross, Suzanne Lenhart, Philip K. Maini
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 816g
ISBN: 9781420066418
ISBN 10: 1420066412
Series: Advances in Applied Mathematics
Pages: 492
Publication Date: 22 December 2015
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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.

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

PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

Dynamical Systems for Biological Modeling

An Introduction

Fred Brauer, Christopher Kribs, Louis J. Gross , Suzanne Lenhart

$204

Hardback

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