Workshops
| Workshop Title | : | Numerical Tools for Systems of Delay Differential Equations |
| Speaker(s) | : | Prof. Dr. Juancho A. Collera |
| Duration | : | 2 hours |
Synopsis:
Various applications involve time delays, e.g. the period of temporary immunity in SIR models, the gestation period in predator-prey models, the delayed information in queuing systems, and the delayed tax revenues on the fiscal policy models, just to name a few. Thus, it makes sense to use Delay Differential Equations (DDEs) in modeling to describe these phenomena. DDEs can be viewed as a natural extension of Ordinary Differential Equations (ODEs) but slightly different.
In this workshop, we introduce several numerical tools to help us understand the solutions of DDEs. In the first half of the workshop, we will discuss Matlab’s dde23, which is a numerical solver for systems of DDEs with constant delays. In the second half of the workshop, we will demonstrate how to use DDE-Biftool, which is a Matlab package for numerical continuation and bifurcation analysis of systems of DDEs.
Objectives:
- To introduce participants to numerical solvers for systems of DDEs (e.g. Matlab’s dde23) to obtain immediate features of the solutions of DDEs.
- To demonstrate the use of numerical continuation tools for DDEs (e.g. DDE-Biftool1) in generating bifurcation diagrams in one and two parameter spaces.
Who Should Attend:
This workshop is aimed at students, faculty members and researchers interested in the topic of DDEs. Participants are expected to be familiar with ODEs and the Matlab syntax.
Requirements:
Machine with Matlab installed.