Chapter 22: Continuous Dynamical Systems in 2-D

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22.1 Basic Theory in 2-D
22.2 Geometric Solution in 2-D
22.3 Flows vs. Explicit Solutions
22.4 Flow Analysis of Applied Models

22.4.1 Predator-Prey Interactions

22.4.2 The Geometry of S-I-R Epidemics

22.4.3 S-I-R Epidemics with Births and Deaths

22.5 Projects

22.5.1 Herd Immunity and the S-I-S Endemic Limit

22.5.2 Mathematical Ecology

22.5.3 A Production and Exchange Economy

22.5.4 Stability of Chemical Reactions

22.5.5 Low-Level Bombing

22.5.6 The Pendulum


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