Chemical Education

The SIR dynamic model of infectious disease transmission and its analogy with chemical kinetics

Authors

Abstract

Mathematical models of the dynamics of infectious disease transmission are used to forecast epidemics and assess mitigation strategies. We reveal that the classic Susceptible-Infectious-Recovered (SIR) epidemic model resembles a dynamic model of a batch reactor carrying out an autocatalytic reaction with catalyst deactivation. This analogy between disease transmission and chemical reactions enables the cross-pollination of ideas between epidemic and chemical kinetic modeling.

Version notes

version 0.5 - contact network models - models with vectors like mosquitos - changing probabilistic dist'n of infectious time period - endemic equilibrium - added stochastic simulation - added last figure to showcase extensions intuitively

Content

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