About Course
Mathematical models can be used to represent infection spread in different populations. This course is for those wishing to learn the basics of ordinary differential equation epidemic models and how to implement these models in R.
Starting from the simple Susceptible-Infectious model, at the end of this course you will understand how to add additional complexities such as demography and make model predictions using R. Learn with worked examples, exercises, quizzes and tutor support – use the Q&A box to ask questions.
This course is CPD certified!
About the instructor
AM
These courses aim to equip you with the confidence to apply skills in mathematical modelling and data analytics in high-quality research, based on my experience working as an infectious disease modeller at the Big Data Institute University of Oxford, London School of Hygiene and Tropical Medicine (LSHTM) and the University of Warwick. I have taught mathematical modelling, statistics and R programming to audiences ranging from undergraduate students to professionals. I have designed and led courses internationally (University of Malaya and Federal University of Bahia, Brazil) and in the UK (University of Leeds, Warwick, LSHTM). Prior to this, I completed a doctorate in mathematical modelling of infectious disease at the University of Liverpool, following a Master’s degree in applied statistics from the University of Lancaster.
Course Curriculum
Introduction
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Motivation
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Epidemic models
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SI model
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SI model II
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SI model
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SIR model
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SIR model
Solving models in R
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SI model in R
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SIR model in R
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SIR model code
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SIR code
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Quiz answers
Predictions and assumptions
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Frequency or density dependence
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Examples in R
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Summary and other assumptions
The basic reproduction number
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Introduction
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The SIR model
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Frequency and density dependent transmission
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Effective reproduction number
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Herd immunity threshold
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The basic reproduction number
Including demographic processes
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SIR model with demography
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Equilibrium states
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Importance of demographic processes
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SIR model with demography
Test your understanding
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Understanding equations
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Solution – equations
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Understanding code
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Understanding code
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Solution – code
Course feedback
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Form
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Review
Student Ratings & Reviews
Total 1 Rating
like the pictorial model description