Modeling Differential Equations in Biology / Edition 1

Modeling Differential Equations in Biology / Edition 1

by Clifford Henry Taubes
     
 

ISBN-10: 0130173258

ISBN-13: 9780130173256

Pub. Date: 11/14/2000

Publisher: Prentice Hall

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

…  See more details below

Overview

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.

Read More

Product Details

ISBN-13:
9780130173256
Publisher:
Prentice Hall
Publication date:
11/14/2000
Pages:
479
Product dimensions:
7.20(w) x 9.20(h) x 1.00(d)

Table of Contents

Ch. 1 Introduction 1

Ch. 2 Exponential growth 6

Ch. 3 Introduction to differential equations 45

Ch. 4 Stability in a one-component system 64

Ch. 5 Systems of first-order differential equations 73

Ch. 6 Phase plane analysis 87

Ch. 7 Introduction to vectors 104

Ch. 8 Equilibrium in two-component, linear systems 127

Ch. 9 Stability in nonlinear systems 140

Ch. 10 Nonlinear stability revisited 147

Ch. 11 Matrix notation 173

Ch. 12 Remarks about Australian predators 178

Ch. 13 Introduction to advection 192

Ch. 14 Diffusion equations 216

Ch. 15 Two key properties of the advection and diffusion equations 226

Ch. 16 The no-trawling zone 246

Ch. 17 Separation of variables 259

Ch. 18 The diffusion equation and pattern formation 266

Ch. 19 Stability criterion 311

Ch. 20 Summary of advection/diffusion 318

Ch. 21 Traveling waves 351

Ch. 22 Traveling wave velocities 365

Ch. 23 Periodic solutions 375

Ch. 24 Fast and slow 393

Ch. 25 Estimating elapsed time 412

Ch. 26 Switches 416

Ch. 27 Testing for periodicity 430

Ch. 28 Causes of chaos 451

Extra exercises and solutions 481

Index 499

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >