Numerical methods for structured population models in ecology and epidemiology

Date(s)
Tuesday 8th October 2024 (12:00-13:00)
Contact
Event Convenor Contact: bindi.brook@nottingham.ac.uk
Description
Speaker's Name: Dr Francesca Scarabel
Speaker's Affiliation: University of Leeds
Speaker's Research Theme(s): CMMB,Statistics and Probability
Abstract:
In this talk I will consider mathematical models for populations where individual rates are completely determined by a continuous structuring variable that evolves in time (e.g. age or size in ecology, age or age of infection in epidemiology). They can be described as renewal equations or partial differential equations of transport type, and the set of software tools available for these types of equations is much more limited compared to that available for compartmental models formulated as ordinary differential equations (ODEs). In recent years, within a collaboration with the University of Udine (Italy), I have developed a series of user-friendly numerical methods to study the stability and bifurcations of structured population models by means of a convenient approximation with ODEs, which can be studied with well-established software for ODEs. More recently, similar numerical techniques have been used to obtain an efficient method to approximate the reproduction numbers. I will illustrate the methods with applications to mathematical ecology and epidemiology.

Venue: Online
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3ameeting_NWM1MTU2ZTAtYjBmMi00YzE4LThhOTQtMGYwMmI1NTZjMDlm%40thread.v2/0?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%2262d50ba5-440b-4e67-8547-b6518349911a%22%7d

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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