Date of Award
Fall 12-15-2023
Level of Access Assigned by Author
Open-Access Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics
Advisor
Peter Stechlinski
Second Committee Member
David Hiebeler
Third Committee Member
Brandon Lieberthal
Abstract
This thesis explores the utilization of game theory and nonsmooth functions to enhance the accuracy of epidemiological simulations. Traditional sensitivity analysis encounters difficulties when dealing with nondifferentiable points in nonsmooth functions. However, by incorporating recent advancements in nonsmooth analysis, sensitivity analysis techniques have been adapted to accommodate these complex functions. In pursuit of more accurate simulations, evolutionary game theory, primarily the replicator equation, is introduced, modeling individuals’ decision making processes when observing others’ choices. The SEIR model is explored in depth, and additional complexities are incorporated, leading to the creation of an expanded SEIR model, the Be-SEIMR model.
Recommended Citation
Morin, Cameron, "Nonsmooth Epidemic Models with Evolutionary Game Theory" (2023). Electronic Theses and Dissertations. 3905.
https://digitalcommons.library.umaine.edu/etd/3905