Related Experiment Video
Updated: Nov 12, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Estimating COVID-19 exposure in a classroom setting: A comparison between mathematical and numerical models
Aaron Foster1, Michael Kinzel1
1University of Central Florida, Mechanical and Aerospace Engineering, Orlando, Florida 32766, USA.
Abstract:
The COVID-19 pandemic has driven numerous studies of airborne-driven transmission risk primarily through two methods: Wells-Riley and computational fluid dynamics (CFD) models. This effort provides a detailed comparison of the two methods for a classroom scenario with masked habitants and various ventilation conditions. The results of the studies concluded that (1) the Wells-Riley model agrees with CFD results without forced ventilation (6% error); (2) for the forced ventilation cases, there was a significantly higher error (29% error); (3) ventilation with moderate filtration is shown to significantly reduce infection transmission probability in the context of a classroom scenario; (4) for both cases, there was a significant amount of variation in individual transmission route infection probabilities (up to 220%), local air patterns were the main contributor driving the variation, and the separation distance from infected to susceptible was the secondary contributor; (5) masks are shown to have benefits from interacting with the thermal plume created from natural convection induced from body heat, which pushes aerosols vertically away from adjacent students.
Related Concept Videos
Steps in Outbreak Investigation
Exponential Equations for Modeling Growth
Mathematical Modeling: Problem Solving
Mechanistic Models: Compartment Models in Individual and Population Analysis
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Strategies for Assessing and Addressing Confounding
Confounding can be addressed at both the design phase of a study and through analytical methods after data...

