Disease and mathematical models: type of diseases, characterisation of diseases, control of infectious diseases, mathematical models (what they can do, their limitations)
Concepts of mathematical modelling of infectious diseases
Simple epidemic models: Formulating deterministic Susceptible-infected-recovered (SIR) model, SIR model without demography (threshold, epidemic burnout), SIR model with demography (equilibrium state, stability properties, oscillatory dynamics, mean age, ...)
Infection- induced mortality and SI models (mortality throughout, infection, mortality late in infection, fatal infections, ...
Without Immunity, waning immunity and SIRS model
Adding a latent period and Susceptible-Exposed-Infected-Recovered (SEIR) model
Infections with a carrier state
Discrete-time models
Parameterisation (estimating risk of infection R0, from reported cases, seroprevalence data, estimating parameters in general,)
Models for describing STI and HIV transmission and control;
Analyses of serological data: methods for estimating age and time-dependent transmission rates and their application for developing models of the dynamics of infections;
Models of the dynamics and control of vector-borne diseases, tuberculosis
Spatial models (concepts of heterogeneity, interaction, isolation, localised extinction, metapopulations, lattice-based models, individual based models)
Networks, Model choice
Control of infectious diseases and case studies in infectious diseases
