Epidemic Modelling

Exponential growth/decay models

These models simulate potentially unlimited growth characterised by a reproduction rate, ρ, parameter. The simulation can either be deterministic or modelled as a Poisson process.

SIS models

A finite population with initial infectious cases. Individuals may recover but can get reinfected. There are two parameters here so that infection and recovery can be independently controlled. Randomness can be introduced by a Binomial distribution.

SIR models

An SIR model where infectious cases recover and are removed from the process.

Other epidemiology models on the internet

Here are links to a few other epidemiological simulation pages on the web. Mostly they are more complicated than the simple ones above, and may use different names and parameterisation schemes.

SIR simulation from Colin Jenkins at Op12No2
Spatial SIR individual model, a series of models showing different scenarios including vaccination.
An SIR simulation written as a demo for a web graphs package.
An SEIR simulation, - an SIR model with a latent, infected but non-infectious, stage.
An Exponential Growth Model which lets you compare the simulation with the analytical solution.

Epidemic Modelling Simulations

Exponential growth/decay models

SIS models

SIR models

Other epidemiology models on the internet