Dynamical Systems for Biological Modeling - An Introduction

This book prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. Its approach emphasizes qualitative ideas rather than explicit computations and does not overwhelm students with precise technical details. The book discusses a variety of biological modeling

List 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.

About the author

Fred Brauer, PhD, University of British Columbia, Vancouver, Canada
Christopher Kribs, PhD, University of Texas at Arlington, USA

Summary

This book prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. Its approach emphasizes qualitative ideas rather than explicit computations and does not overwhelm students with precise technical details. The book discusses a variety of biological modeling

Product details

• Authors: Fred Brauer, Fred Kribs Brauer, Brauer Fred, Christopher Kribs, Kribs Christopher
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2024
• EAN: 9781032919324
• ISBN: 978-1-0-3291932-4
• No. of pages: 492
• Series: Advances in Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations