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Module Title: 
Modelling infectious diseases
Module Code: 
DSB6332

Module Content

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

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African Center of Excellence in Data Science(ACE-DS)

Head Office:UR College of Business & Economics

E-mail:   aceds@ur.ac.rw

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