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

2020 ◽  
Vol 2 ◽  
pp. e14 ◽  
Author(s):  
Cory M. Simon
Keyword(s):  
Infectious Disease ◽  
Dynamic Model ◽  
Chemical Reaction ◽  
Disease Transmission ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Mitigation Strategies ◽  
Sir Epidemic Model ◽  
Infectious Disease Transmission ◽  
Chemical Reaction Kinetics

Mathematical models of the dynamics of infectious disease transmission are used to forecast epidemics and assess mitigation strategies. In this article, we highlight the analogy between the dynamics of disease transmission and chemical reaction kinetics while providing an exposition on the classic Susceptible–Infectious–Removed (SIR) epidemic model. Particularly, the SIR model resembles a dynamic model of a batch reactor carrying out an autocatalytic reaction with catalyst deactivation. This analogy between disease transmission and chemical reaction enables the exchange of ideas between epidemic and chemical kinetic modeling communities.

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

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Dynamic Model ◽  
Disease Transmission ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Chemical Kinetic ◽  
Mitigation Strategies ◽  
Sir Epidemic Model ◽  
Infectious Disease Transmission ◽  
Sir Epidemic

<div>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.</div>

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

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Dynamic Model ◽  
Disease Transmission ◽  
Dynamic Models ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Mitigation Strategies ◽  
Sir Epidemic Model ◽  
Infectious Disease Transmission ◽  
Sir Epidemic

<div>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 allows chemists and chemical engineers to peer into dynamic models of infectious disease transmission and gives insights into the kinetics of autocatalytic reactions.</div>

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

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Dynamic Model ◽  
Disease Transmission ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Chemical Kinetic ◽  
Mitigation Strategies ◽  
Sir Epidemic Model ◽  
Infectious Disease Transmission ◽  
Sir Epidemic

<div>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.</div>

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

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Mathematical Model ◽  
Dynamic Model ◽  
Chemical Kinetics ◽  
Disease Transmission ◽  
Dynamic Models ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Mitigation Strategies ◽  
Infectious Disease Transmission

The classic Susceptible-Infectious-Recovered (SIR) mathematical model of the dynamics of infectious disease transmission resembles a dynamic model of a batch reactor carrying out an auto-catalytic reaction with catalyst deactivation. By making this analogy between disease transmission and chemical reactions, chemists and chemical engineers can peer into dynamic models of infectious disease transmission used to forecast epidemics and assess mitigation strategies.

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

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Dynamic Model ◽  
Disease Transmission ◽  
Dynamic Models ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Mitigation Strategies ◽  
Infectious Disease Transmission ◽  
Model Dynamics ◽  
Kinetics Of

<div>The classic Susceptible-Infectious-Recovered (SIR) mathematical model of the dynamics of infectious disease transmission resembles a dynamic model of a batch reactor carrying out an autocatalytic reaction with catalyst deactivation. This analogy between disease transmission and chemical reactions allows chemists and chemical engineers to peer into dynamic models of infectious disease transmission used to forecast epidemics and assess mitigation strategies. Moreover, analysis of SIR model dynamics gives insights into the kinetics of autocatalytic reactions.</div>

scholarly journals The SIR Dynamic Model of Infectious Disease Transmission from the Viewpoint of a Chemical Engineer

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Mathematical Model ◽  
Dynamic Model ◽  
Catalytic Reaction ◽  
Disease Transmission ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Chemical Engineer ◽  
Infectious Disease Transmission

The classical Susceptible-Infectious-Recovered (SIR) mathematical model of the dynamics of infectious disease transmission resembles a dynamic model of a batch reactor carrying out an auto-catalytic reaction with catalyst deactivation.

The SIR Dynamic Model of Infectious Disease Transmission from the Viewpoint of a Chemical Engineer

2020 ◽  
Author(s):  
Cory Simon
Keyword(s):  
Infectious Disease ◽  
Mathematical Model ◽  
Dynamic Model ◽  
Catalytic Reaction ◽  
Disease Transmission ◽  
Catalyst Deactivation ◽  
Batch Reactor ◽  
Chemical Engineer ◽  
Infectious Disease Transmission

The classical Susceptible-Infectious-Recovered (SIR) mathematical model of the dynamics of infectious disease transmission resembles a dynamic model of a batch reactor carrying out an auto-catalytic reaction with catalyst deactivation.

scholarly journals Modelling song popularity as a contagious process

2021 ◽  
Vol 477 (2253) ◽  
pp. 20210457
Author(s):  
Dora P. Rosati ◽  
Matthew H. Woolhouse ◽  
Benjamin M. Bolker ◽  
David J. D. Earn
Keyword(s):  
Infectious Disease ◽  
Time Series ◽  
Disease Transmission ◽  
Sir Model ◽  
Sir Epidemic Model ◽  
Infectious Disease Transmission ◽  
Download Time ◽  
Sir Epidemic ◽  
Popular Songs ◽  
Song Preferences

Popular songs are often said to be ‘contagious’, ‘infectious’ or ‘viral’. We find that download count time series for many popular songs resemble infectious disease epidemic curves. This paper suggests infectious disease transmission models could help clarify mechanisms that contribute to the ‘spread’ of song preferences and how these mechanisms underlie song popularity. We analysed data from MixRadio, comprising song downloads through Nokia cell phones in Great Britain from 2007 to 2014. We compared the ability of the standard susceptible–infectious–recovered (SIR) epidemic model and a phenomenological (spline) model to fit download time series of popular songs. We fitted these same models to simulated epidemic time series generated by the SIR model. Song downloads are captured better by the SIR model, to the same extent that actual SIR simulations are fitted better by the SIR model than by splines. This suggests that the social processes underlying song popularity are similar to those that drive infectious disease transmission. We draw conclusions about song popularity within specific genres based on estimated SIR parameters. In particular, we argue that faster spread of preferences for Electronica songs may reflect stronger connectivity of the ‘susceptible community’, compared with the larger and broader community that listens to more common genres.

Sign in / Sign up

Export Citation Format

Share Document