Course

Infectious Disease Modelling

Imperial College London

Mathematical modelling plays a crucial role in public health decision-making. This course, offered by Imperial College London, equips learners with the skills to develop and implement infectious disease models using the programming language R.

Participants will gain practical experience in constructing valid mathematical models to capture the natural history of infectious diseases, calibrating models against epidemiological data, and creating projections for different intervention scenarios. The course is designed for individuals with a basic understanding of R and a familiarity with ordinary differential equations.

  • Learn to develop the SIR model and interpret compartmental models
  • Explore interventions and calibration, incorporating treatment or vaccination into models
  • Understand stochastic and deterministic models and evaluate modelling studies

Upon completion, participants will be able to critically evaluate the strengths and limitations of mathematical models in addressing research and policy questions related to infectious diseases.

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Infectious Disease Modelling
Course Modules

This course comprises three modules: Developing the SIR Model, Interventions and Calibration, and Building on the SIR Model. Participants will explore fundamental concepts and practical applications of infectious disease modelling in R.

Developing the SIR Model

Developing the SIR Model module introduces participants to valid mathematical models capturing the natural history of infectious diseases. Learners will interpret compartmental models, describe fundamental processes driving the dynamics of an SIR epidemic, and develop a simple SIR model. The focus is on understanding mechanisms of susceptibility and incorporating them into the model under given parameters.

Interventions and Calibration

The Interventions and Calibration module delves into the relationship between models and real-world epidemiological data. Participants will learn to incorporate treatment or vaccination into an SIR model, perform model calibrations against time-series data, and recognize different approaches to model calibration in R. The module emphasizes understanding the impact of interventions on disease dynamics and optimizing model parameters to fit the data.

Building on the SIR Model

Building on the SIR Model module explores stochastic and deterministic models, population structure, and the dynamics of vector-borne diseases. Participants will distinguish between stochastic and deterministic models, design and simulate transmission models capturing population structure, and evaluate the assumptions behind the Ross MacDonald model. The module aims to equip learners with the skills to critically evaluate modelling studies and communicate their findings effectively to a scientifically literate audience.

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