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Epidemic Modeling: SIRS Models (short) - Columbia University

Epidemic Modeling: SIRS Models (short) - Columbia University

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<strong>SIRS</strong> Model<br />

MCs indexed by N with transition rates:<br />

ρ (s → i) = S · θI/N = Nθsi<br />

ρ (i → r) = ρI = Nρi<br />

ρ (r → s) = R = Nr<br />

Questions:<br />

• Establishment: Will the infection spread?<br />

• Spread: How does it develop with time?<br />

• Persistance: When does it disappear?<br />

4

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