We'll see how to go from the microscopic, stochastic SIR models we've been studying, to the macroscopic, deterministic models by taking means (expectations). These can be discrete or continuous (differential equations).
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Contents
00:00 Introduction
01:35 Simple model of recovery
07:32 Deterministic dynamics for the mean: Intuitive derivation
11:08 Derivation using mean of stochastic process
15:40 Macroscopic description in Continuous-time
20:48 Full SIR model
23:13 Discrete-time SIR model
24:09 Standard (continuous-time) SIR model
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