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Mathematical Models in Biology

D. Brian Walton

Front Matter

Preface

1Mathematical Modeling

The Scientific Method
The Role of Models
Measurements
The State of a System

2Population Dynamics

An Agent Based Motivation for Dynamics
Discrete Population Models
Projection Models
Analysis of Population Projections
Graphical Analysis of Projection Functions
Intervention and Bifurcations
Introduction to Differential Equations
Analysis of Differential Equations

3Modeling Interactions

Examples of Interacting Systems
Modeling Interaction Rates
Dynamical Systems and Phase Space

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Mathematical Models in Biology

D. Brian Walton
Department of Mathematics and Statistics
James Madison University
Harrisonburg, VA, USA
waltondb@jmu.edu

February 16, 2017