The mathematical modelling of infectious disease epidemics allows us to

predict the likely burden of disease from a new pathogen, and
estimate the outcome of potential control measures (e.g. vaccination, social distancing policies, etc.).

We can introduce data on contact patterns in a population to see the effect of population dynamics then assess which members of society are most at risk during an epidemic.

Models for public health policies tend to be computational models using systems of Ordinary Differential Equations, Partial Differential Equations, or different equations, perhaps incorporating stochastic processes, depending on the pathogen and problem in question.

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Modelling Epidemics

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