# Feuerborn, Jacquie

 Random Link ¯\_(ツ)_/¯ Nov 13, 2017 » Infection Models: SI, SIS, SIR 2 min; updated Jun 20, 2021 Models state transitions through differential equations over continuous time $$t$$. Commonly used to model the spread of diseases. Possible states that proportions of the population could be in at time $$t$$ are: susceptible $$S(t)$$, infected $$I(t)$$, and recovered $$R(t)$$ The SI Model Assumes that one can only move from state $$S$$ to state $$I$$, with probability $$\beta$$. $$S'(t) = - \beta S(t) I(t);\ \ \ \ I'(t) = \beta S(t) I(t)$$...