Age structure
Age-structured epidemic models divide the population into age groups because contact behaviour, susceptibility and disease outcomes can vary substantially with age.
Age-specific compartments
Instead of one susceptible and infectious population, the model uses variables such as \(S_i(t)\) and \(I_i(t)\) for age group \(i\).
Force of infection
A typical age-specific force of infection has the form
\[\lambda_i=\beta\sum_j c_{ij}\frac{I_j}{N_j},\]where \(c_{ij}\) represents contact from individuals in group \(i\) with group \(j\).
Why it matters
Age structure can change transmission patterns, intervention effects and predictions of severe disease burden.
Key idea. Age structure replaces the assumption that all individuals mix and experience disease in the same way.