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 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 ◽  
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 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 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>

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 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 A mathematical model of infectious disease transmission

2020 ◽  
Vol 34 ◽  
pp. 02002
Author(s):  
Aurelia Florea ◽  
Cristian Lăzureanu
Keyword(s):  
Infectious Disease ◽  
Mathematical Model ◽  
Nonlinear System ◽  
Numerical Simulations ◽  
Disease Transmission ◽  
Three Dimensional ◽  
Type System ◽  
Epidemic Disease ◽  
Infectious Disease Transmission ◽  
The Stability

In this paper we consider a three-dimensional nonlinear system which models the dynamics of a population during an epidemic disease. The considered model is a SIS-type system in which a recovered individual automatically becomes a susceptible one. We take into account the births and deaths, and we also consider that susceptible individuals are divided into two groups: non-vaccinated and vaccinated. In addition, we assume a medical scenario in which vaccinated people take a special measure to quarantine their newborns. We study the stability of the considered system. Numerical simulations point out the behavior of the considered population.

Sign in / Sign up

Export Citation Format

Share Document