Contents
I. Mathematical Systems and Models
II. An Example: Modeling Free Fall
III. Discrete Examples: Credit Cards and Populations
IV. Classification of Mathematical Models
V. Uses and Limitations of Mathematical Models
2 Stable and Unstable Arms Races
II. Constructing a Deterministic Model
III. A Simple Model for an Arms Race
V. Interpreting and Testing the Richardson Model
VI. Obtaining an Exact Solution
3 Ecological Models: Single Species
IV. Logistic Population Growth
V. The Discrete Model of Logistic Growth and Chaos
VII. Historical and Biographical Notes
4 Ecological Models: Interacting Species
IV. The Competitive Hunters Model
VI. Concluding Remarks on Simple Models in Population Dynamics
II. A General Tumor Growth Model
IV. Modeling Colorectal Cancer
V. Historical and Biographical Notes
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