Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization

Researchers using ordinary differential equations to model phenomena face two main challenges among others: implementing the appropriate model and optimizing the parameters of the selected model. The latter often proves difficult or computationally expensive. Here, we implement Particle Swarm Optimi...

Full description

Saved in:
Bibliographic Details
Main Authors: Devin Akman, Olcay Akman, Elsa Schaefer
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2018/9160793
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Researchers using ordinary differential equations to model phenomena face two main challenges among others: implementing the appropriate model and optimizing the parameters of the selected model. The latter often proves difficult or computationally expensive. Here, we implement Particle Swarm Optimization, which draws inspiration from the optimizing behavior of insect swarms in nature, as it is a simple and efficient method for fitting models to data. We demonstrate its efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
ISSN:1110-757X
1687-0042