Book contents
- Frontmatter
- Contents
- Preface
- Chapter 1 Introduction
- Chapter 2 Exponential Growth
- Chapter 3 Introduction to Differential Equations
- Chapter 4 Stability in a One-Component System
- Chapter 5 Systems of First-Order Differential Equations
- Chapter 6 Phase Plane Analysis
- Chapter 7 Introduction to Vectors
- Chapter 8 Equilibrium in Two-Component, Linear Systems
- Chapter 9 Stability in Nonlinear Systems
- Chapter 10 Nonlinear Stability Revisited
- Chapter 11 Matrix Notation
- Chapter 12 Remarks About Australian Predators
- Chapter 13 Introduction to Advection
- Chapter 14 Diffusion Equations
- Chapter 15 Two Key Properties of the Advection and Diffusion Equations
- Chapter 16 The No-Trawling Zone
- Chapter 17 Separation of Variables
- Chapter 18 The Diffusion Equation and Pattern Formation
- Chapter 19 Stability Criterion
- Chapter 20 Summary of Advection/Diffusion
- Chapter 21 Traveling Waves
- Chapter 22 Traveling Wave Velocities
- Chapter 23 Periodic Solutions
- Chapter 24 Fast and Slow
- Chapter 25 Estimating Elapsed Time
- Chapter 26 Switches
- Chapter 27 Testing for Periodicity
- Chapter 28 Causes of Chaos
- Extra Exercises and Solutions
- Index
Chapter 8 - Equilibrium in Two-Component, Linear Systems
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Chapter 1 Introduction
- Chapter 2 Exponential Growth
- Chapter 3 Introduction to Differential Equations
- Chapter 4 Stability in a One-Component System
- Chapter 5 Systems of First-Order Differential Equations
- Chapter 6 Phase Plane Analysis
- Chapter 7 Introduction to Vectors
- Chapter 8 Equilibrium in Two-Component, Linear Systems
- Chapter 9 Stability in Nonlinear Systems
- Chapter 10 Nonlinear Stability Revisited
- Chapter 11 Matrix Notation
- Chapter 12 Remarks About Australian Predators
- Chapter 13 Introduction to Advection
- Chapter 14 Diffusion Equations
- Chapter 15 Two Key Properties of the Advection and Diffusion Equations
- Chapter 16 The No-Trawling Zone
- Chapter 17 Separation of Variables
- Chapter 18 The Diffusion Equation and Pattern Formation
- Chapter 19 Stability Criterion
- Chapter 20 Summary of Advection/Diffusion
- Chapter 21 Traveling Waves
- Chapter 22 Traveling Wave Velocities
- Chapter 23 Periodic Solutions
- Chapter 24 Fast and Slow
- Chapter 25 Estimating Elapsed Time
- Chapter 26 Switches
- Chapter 27 Testing for Periodicity
- Chapter 28 Causes of Chaos
- Extra Exercises and Solutions
- Index
Summary
- Type
- Chapter
- Information
- Modeling Differential Equations in Biology , pp. 127 - 139Publisher: Cambridge University PressPrint publication year: 2008