Modeling Epidemics 1 Flashcards
Outbreaks, epidemics and pandemics Modelling epidemics SIR model.
What is the difference between Epidemics and Pandemics?
Epidemics–When an infectious disease rapidly spreads to many people. It affects a larger areas than an outbreak
Pandemics– Geographical/Global outbreak of disease– Affects more people and takes more lives than epidemics.
What is the Compartment Model
S- susceptible
I- Infected
R-Recovered
SIR model assumptions
No births/ deaths
Mild disease– everyone recovers no deaths caused by diseases
everyone becomes Completely immune after infection
In the SIR model
What are the beta and gamma?
Beta-Infection rate contant
Gamma-Recovery rate constant
What the general equation for the SIR model.
N=S+I+R ( this equation can be normalised)
Know the SIR model Level equations.
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Important parameter in Epidemics.
Ro– what is this number?
Basic reproduction number
Number of infections one case generates( on average)😐😐😐😐😐 over the course of an epidemic.
Name all the models
SIR model SEIR MODEL SIR INCLUDING VITAL DYNAMICS SIRD MODEL SIRS MODEL
What does the B symbol represent
B—infection rate constant
What does the Y symbol represent?
Y—Recovery rate symbol
What are the SIR model assumptions?
No births/deaths– time is small enough–fixed population
Mild disease–everyone recovers no deaths caused by disease.
Completely Immune— Can’t be re-infected.
Advanced models
SEIR
What does the symbol a represent?
a–exposed to infected rate constant.
Advanced models
**Vital dynamics**
What does the n coefficient represent
n—Natural death rate constant.
What are the SIR–Vital Dynamics Assumptions?
No births/deaths-Time is small enough–Fixed population size.
Completely Immune— Can’t be re-infected.
What is excluded in the SIRS model–Assumptions
All SIR assumptions except
Completely Immune—Can’t be re-infected
