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Modeling Differential Equations in Biology

ISBN-10: 0521708435
ISBN-13: 9780521708432
Edition: 2nd
List price: $74.99 Buy it from $74.14
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Description: Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester  More...

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Book details

List price: $74.99
Edition: 2nd
Publisher: Cambridge University Press
Publication date: 1/17/2008
Binding: Paperback
Pages: 526
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 2.266
Language: English

Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.

Introduction
Exponential Growth with Appendix on Taylor's Theorem
Introduction to Differential Equations
Stability in a One Component System
Systems of First Order Differential Equations
Phase Plane Analysis
Introduction to Vectors
Equilibrium in Two Component, Linear Systems
Stability in Non-Linear Systems
Non-linear Stability Again
Matrix Notation
Remarks about Australian Predators
Introduction to Advection
Diffusion Equations
Two Key Properties of the Advection and Diffusion Equations
The No Trawling Zone
Separation of Variables
The Diffusion Equation and Pattern Formation
Stability Criteria
Summary of Advection and Diffusion
Traveling Waves
Traveling Wave Velocities
Periodic Solutions
Fast and Slow
Estimating Elapsed Time
Switches
Testing for Periodicity
Causes of Chaos. Extra Exercises and Solutions
Index

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