Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Diseases (3)
- Medicine and Health Sciences (3)
- Statistics and Probability (3)
- Biology (2)
- Epidemiology (2)
-
- Life Sciences (2)
- Public Health (2)
- Statistical Models (2)
- Applied Statistics (1)
- Community Health and Preventive Medicine (1)
- Disease Modeling (1)
- Immunology and Infectious Disease (1)
- Infectious Disease (1)
- International Public Health (1)
- Medical Specialties (1)
- Other Applied Mathematics (1)
- Partial Differential Equations (1)
- Virus Diseases (1)
Articles 1 - 4 of 4
Full-Text Articles in Applied Mathematics
465— Modeling Vaccine Efficacy For Tuberculosis In A Prison Population, Kaitlyn Mundackal
465— Modeling Vaccine Efficacy For Tuberculosis In A Prison Population, Kaitlyn Mundackal
GREAT Day Posters
Tuberculosis is a highly contagious disease and is particularly problematic in confined communities such as prisons. I simulated how Tuberculosis moves through a prison population and tested how much vaccination effort is needed to control its spread. To explore this, I tested adding ever increasing numbers of randomly placed edges in a network and determined the size of the largest component. Afterwards, I removed edges in the model using two different methods, one illustrating if the edges were removed randomly and the other starting with prisoners that had the most connections, to simulate the effect of vaccination. My results show …
483— Effectiveness Of Mmr Vaccination In Orthodox Jewish Neighborhoods, Meenu Mundackal
483— Effectiveness Of Mmr Vaccination In Orthodox Jewish Neighborhoods, Meenu Mundackal
GREAT Day Posters
Measles is a highly contagious disease, where large outbreaks arise by direct contact between susceptible (unvaccinated) and infectious individuals. Many Orthodox Jewish neighborhoods were affected by measles from 2018-2019. To quantify the vaccination effort on this susceptible population, a retrospective analysis was used to study the NYC and Rockland County populations using a differential equations model. A subsequent model, known as a realistically-structured network model, studied only the NYC population, in relation to typical household size. Vaccination strategies were applied to three cohorts: unvaccinated family members, members with 1 prior MMR dose, and members with 2 prior MMR doses. The …
484— Modeling Social Distancing Methods And Their Effectiveness In Combating The Spread Of Ebola, Rachel Fair
484— Modeling Social Distancing Methods And Their Effectiveness In Combating The Spread Of Ebola, Rachel Fair
GREAT Day Posters
Ebola Virus Disease (EVD) is a rare but severe disease that is transmitted among humans through direct-contact with, and close proximity to, infected bodily fluids. From 2014-16, West Africa experienced the largest Ebola outbreak ever recorded, infecting over 28,000 people, and killing over 11,000. Although the symptoms of EVD are treatable, the disease can be extremely deadly, with an average of 50% EVD cases resulting in fatality. In areas where healthcare is scarce and vaccinations are not readily available, the practices of social distancing and self-quarantining have been shown to be highly effective in combating the spread of EVD. To …
358— Hybridization Of Particle Swam Optimization And Pattern Search Algorithms With Application, Eric Koessler
358— Hybridization Of Particle Swam Optimization And Pattern Search Algorithms With Application, Eric Koessler
GREAT Day Posters
We test three methods of hybridizing Particle Swarm Optimization (PSO) and Pattern Search (PS) to improve the global minima, speed, and robustness. All methods let PSO run first followed by PS. The first method lets PSO use a large number of particles for a limited number of iterations. The second method lets PSO run normally until tolerance is reached. The third method lets PSO run normally until the average particle distance from the global best location is within a threshold. Numerical results using non-differentiable test functions reveal that all three methods improve the global minima and robustness versus PSO, while …