Introduction to Epidemic Modelling - Equations of Disease

About Course

Mathematical models can be used to represent infection spread in different populations, but how do we write the equations that make up these models? What parameters are included in the equations? What assumptions are made about how infections occur?

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!

Course Content

Introduction
What are mathematical models?

Motivation
Population growth

About Course

What Will You Learn?

Course Content

Introduction What are mathematical models?

Motivation

Population growth

Epidemic models Formulating the SI and SIR models from assumptions to equations

SI model

SI model II

SI model

SIR model

SIR model

Solving models in R How to use the deSolve package to solve ODE models in R

SI model in R

SIR model in R

SIR model code

SIR code

Quiz answers

Predictions and assumptions How do model assumptions change model behaviour

Frequency or density dependence

Examples in R

Summary and other assumptions

The basic reproduction number Learn about R0, effective reproduction numbers and herd immunity thresholds

Introduction

The SIR model

Frequency and density dependent transmission

Effective reproduction number

Herd immunity threshold

The basic reproduction number

Including demographic processes How to add demographic processes to models and the impact on model behaviour

SIR model with demography

Equilibrium states

Importance of demographic processes

SIR model with demography

Test your understanding Check your understanding of model equations and model code

Understanding equations

Solution – equations

Understanding code

Understanding code

Solution – code

Course feedback Help to improve the course with your feedback

Form

Review

Student Ratings & Reviews

Introduction
What are mathematical models?

Epidemic models
Formulating the SI and SIR models from assumptions to equations

Solving models in R
How to use the deSolve package to solve ODE models in R

Predictions and assumptions
How do model assumptions change model behaviour

The basic reproduction number
Learn about R0, effective reproduction numbers and herd immunity thresholds

Including demographic processes
How to add demographic processes to models and the impact on model behaviour

Test your understanding
Check your understanding of model equations and model code

Course feedback
Help to improve the course with your feedback