Lectures for Epidemiology 624

John A. Jacquez

Goal:

1. Introduce compartmental systems and compartmental modeling.

2. Introduce compartmental models of epidemics, including epidemic models that explicitly include geographic spread.

Additional References: [4] [3]

• COMPARTMENTAL SYSTEMS AND COMPARTMENTAL MODELING
  • What is a Compartment?
  • Compartmental Systems
  • The Behavior of a System
  • Types of Compartmental Systems
    • Linear Compartmental Systems
    • Nonlinear Compartmental Systems
    • Connectivity Properties
    • Stochastic Compartmental Systems
• COMPARTMENTAL MODELS OF EPIDEMICS
  • Some Simple Models: SIS, SIR
    • The Equations
    • The Basic Reproduction Number,
    • Herd Immunity
  • Subpopulations
  • Mixing
  • The Basic Structure of Epidemic Models
    • Models of Disease Progression
    • Models of the Force of Infection
• COMPARTMENTAL MODELS OF GEOGRAPHIC SPREAD
  • Mixing
    • Migration Models
    • Mover-Stayer Models
• EVALUATION
• References
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