Register for this event here:

https://docs.google.com/forms/d/e/1FAIpQLSdA6QKYjKEGXr60wc7OUkw785Z1BkX9...

_______________________________________________________________

Individual level behaviour and processes, such as reproduction, movement, growth, and death,

drive population level dynamics. Typically, mathematical modellers homogenize these individ-

ual level behaviours by considering the \average" behaviour and making arguments that lead

to into ordinary dierential equation models for population level dynamics. In this workshop,

we introduce a modelling methodology that begins with the biological considerations under-

lying the individual level behaviour. Throughout careful book-keeping, we show how to use

these individual level behaviours to derive population level dynamics. By using the classic SIR

model from epidemiology, we show how considering more realistic infection dynamics naturally

lead to functional equations, and illustrate the analytical and numerical techniques that allow

modellers to derive biological information from the population level dynamics.

This workshop will provide a \users guide" overview to the use of structured population models

and is intended as a gentle introduction to the use of delay equations in mathematical biology.

Participants will learn to build population level models from individual level behaviours, will

be introduced to the analytical and numerical skills used to derive biological information from

population level dynamics, and will be able to identify the similarities and dierences between

structured population models and ordinary dierential equation models. The workshop will be

a mix of worked analytical and numerical examples and will include a refresher of the necessary

mathematical techniques.