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.
InstitutionOregon State University
ORCID For Submitting Author0000-0002-8181-9178
Declaration of Conflict of InterestNone.
Version Notesversion 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