Date on Master's Thesis/Doctoral Dissertation
8-2022
Document Type
Doctoral Dissertation
Degree Name
Ph. D.
Department
Mathematics
Degree Program
Applied and Industrial Mathematics, PhD
Committee Chair
Han, Dan
Committee Co-Chair (if applicable)
Gill, Ryan
Committee Member
Gill, Ryan
Committee Member
Li, Jiaxu
Committee Member
Ewald, Paul
Author's Keywords
SIR; mathematical modeling; stochastic processes
Abstract
In this paper, a mobility-based SIR model is built to understand the spread of the pandemic. A traditional SIR model used in epidemiology describes the transition of particles among states, such as susceptible, infected, and recovered states. However, the traditional model has no movement of particles. There are many variations of SIR models when it comes to the factor of mobility, the majority of studies use mobility intensity or population density as a measure of mobility. In this paper, a new dynamical SIR model, including the spatial motion of three-type particles, is constructed and the long-time behavior of the first and second moments of this dynamical system are studied. The intermittency and Lyapunov exponents are derived and analyzed as well.
Recommended Citation
Applegate, Ciana, "A new SIR model with mobility." (2022). Electronic Theses and Dissertations. Paper 3961.
https://doi.org/10.18297/etd/3961
Included in
Ordinary Differential Equations and Applied Dynamics Commons, Other Applied Mathematics Commons
