31) Title: Mathematical modeling applied to epidemics and the spread of bioaerosols indoors.

Organizers: António F. Miguel , Complex Flow Systems Lab, Institute of Earth Sciences, University of Évora, Portugal, Murat Aydin, Ontario Tech University (UOIT), Oshawa, Canada

Emails: afm@uevora.pt, murat.aydin@ontariotechu.ca

Mathematical modeling is essential in efforts that focus on predicting, assessing, and controlling disease outbreaks. Since the pioneer paper of Daniel Bernoulli “Essai d’une nouvelle analyze de la mortalité causée par la petite vérole” dated 1766, where he showed that inoculation against the virus would increase life expectancy, huge developments and progress have been made. The most serious issue with a pandemic outbreak is its rapidly growing transmission rate across the world. Mathematical modeling and simulation allow for rapid assessment. They have the potential to trace and predict the epidemic trajectory under different scenarios but also to assess the impact of social distancing, use of face masks, etc..

Another topic of interest is the study of indoor viral bioaerosol transmission patterns have garnered significant interest due to their high potential for contamination. Understanding the propagation dynamics of these aerosols in enclosed spaces provides valuable insights into the mechanisms of their spread.

Topics covered include:

  • Ordinary Differential Equations Epidemic Models
  • Modeling aerosol dynamics and virus exposure
  • Modeling multiphase flows in highly porous materials
  • Computational Fluid Dynamics
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