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Developing the SIR Model
  • Level Professional
  • Duration 21 hours
  • Course by Imperial College London
  • Offered by

About

Compartmental modelling is a cornerstone of mathematical modelling of infectious diseases and this course will introduce some of the basic concepts in building compartmental models, including how to interpret and represent rates, durations and proportions. You'll learn to place the mathematics to one side and concentrate on gaining intuition into the behaviour of a simple epidemic, and be introduced to further basic concepts of infectious disease epidemiology, such as the basic reproduction number (R0) and its implications for infectious disease dynamics. To express the mathematical underpinnings of the basic drivers that you study, you'll use the simple SIR model, which, in turn, will help you examine different scenarios for reproduction numbers. Susceptibility to infection is the fuel for an infectious disease, so understanding the dynamics of susceptibility can offer important insights into epidemic dynamics, as well as priorities for control.

Modules

Welcome to the Course

    • 2 Videos
    • 4 Readings
    • 1 Discussion
    • 1 Lab
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1 Discussions

  • Discuss your Interest or Experience in Modelling

1 Labs

  • Completing Etivities in Jupyter Notebooks

2 Videos

  • Welcome to the Course
  • An Insider's View of IDM

4 Readings

  • Welcome to Infectious Disease Modelling
  • About the Infectious Disease Modelling Team
  • Glossary
  • Modelling Infectious Disease Dynamics

R References

    • 2 Lab
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2 Labs

  • R Reference Guide for IDM
  • Solving differential equations using ode() in R

Simple Compartmental Models

    • 2 Videos
    • 4 Lab
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4 Labs

  • Etivity: Modelling an Infected Cohort
  • Solutions - Modelling an Infected Cohort
  • Etivity: Simulating Competing Hazards
  • Solutions - Simulating Competing Hazards

2 Videos

  • Infected Cohorts and Simple Flows
  • Calculating Competing Hazards in Compartmental Models

The Force of Infection, and the SIR Model

    • 4 Videos
    • 4 Lab
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4 Labs

  • Etivity: SIR Model with a Constant Force of Infection
  • Solutions - SIR Model with a Constant Force of Infection
  • Etivity: SIR Model with a Dynamic Force of Infection
  • Solutions - SIR Model with a Dynamic Force of Infection

4 Videos

  • The Force of Infection
  • Introduction to the SIR Model
  • Modelling the Force of Infection
  • Reflections on the SIR Model

Transmission Drivers of an Epidemic

    • 3 Videos
    • 2 Discussion
    • 1 Plugin
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2 Discussions

  • What Drives an Epidemic?
  • What Drives the Decline of an Epidemic?

3 Videos

  • Introduction to the Week
  • Fundamental Drivers of Epidemic Growth
  • Why an Epidemic Peaks

Can We Control Transmission?

    • 1 Videos
    • 1 Readings
    • 1 Discussion
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1 Discussions

  • Questions so far

1 Videos

  • Departures from the SIR Model

1 Readings

  • Can We Control Transmission?

SIR Dynamics

    • 1 Videos
    • 2 Lab
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2 Labs

  • Etivity: SIR Dynamics with Varying Parameters
  • Solutions - SIR Dynamics with Varying Parameters

1 Videos

  • Introduction to the Week

R0 and Reff

    • 2 Videos
    • 2 Lab
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2 Labs

  • Etivity: Simulating the Effective Reproduction Number Reff
  • Solutions - Simulating the Effective Reproduction Number Reff

2 Videos

  • Explaining R0 in Model Terms
  • Prevalence and Incidence

R0 Complexities

    • 1 Readings
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1 Readings

  • More Complex Forms of R0

Population Turnover and Vaccination

    • 2 Videos
    • 1 Plugin
    • 4 Lab
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4 Labs

  • Modelling Population Turnover
  • Solutions - Modelling Population Turnover
  • A Simple Model for Vaccination
  • Solutions - A Simple Model for Vaccination

2 Videos

  • Modelling Population Turnover
  • A Simple Model for Vaccination

Waning Immunity

    • 2 Videos
    • 2 Lab
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2 Labs

  • Modelling Waning Immunity
  • Solutions - Modelling Waning Immunity

2 Videos

  • Modelling Waning Immunity
  • Summary: Modifiers of Population Susceptibility

Combining the Mechanisms

    • 2 Lab
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2 Labs

  • Combining the mechanisms
  • Solutions - Neonatal Vaccination to Reduce Prevalence of an Endemic Disease in Livestock

Assignment: Course Quiz

    • 1 Discussion
    • 1 Assignment
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1 Assignment

  • Course Quiz

1 Discussions

  • Your Questions

Auto Summary

Dive into the fundamentals of infectious disease modeling with the "Developing the SIR Model" course, offered in the Health & Fitness domain. Guided by expert instructors from Coursera, this professional-level course delves into compartmental modeling, a crucial aspect of understanding and predicting the spread of diseases. Over the span of approximately 21 hours, you will explore essential concepts such as interpreting rates, durations, and proportions, gaining an intuitive understanding of epidemic behaviors. The course also introduces the basic reproduction number (R0) and its critical role in disease dynamics. By utilizing the simple SIR (Susceptible-Infectious-Recovered) model, you'll learn to analyze different scenarios and understand the importance of susceptibility in epidemic control. This course is perfect for professionals seeking to deepen their knowledge in infectious disease epidemiology and enhance their modeling skills. Enroll with a Starter subscription and take a significant step towards mastering the mathematical underpinnings of infectious disease spread and control strategies. Ideal for those in the health and fitness field, this course equips you with the tools to make impactful contributions to public health.

Nimalan Arinaminpathy
Instructor

Nimalan Arinaminpathy