Presenter
:
Fabian Ramirez
Presenter Status
:
Undergraduate student
Academic Year
:
19-20
Semester
:
Spring
Faculty Mentor
:
Omayra Ortega
Department
:
Mathematics
Funding Source/Program
:
McNair
Presentation Link
:
Abstract
:
-Science Symposium Best Poster Award-
Measles is a highly infectious disease, With a basic reproduction number between 12 - 18, that quickly spreads throughout a population once introduced. However, the lifelong immunity developed by those who recover from measles as well as the development of modern vaccinations suggest that modern measles outbreaks will inevitably reach a disease-free equilibrium point. In mathematical epidemiology, a model's equilibrium points represent the point at which no disease is present in the population. The purpose of this paper is to find the disease-free equilibrium points of the SIRV model for measles presented by Jansen et al, "Branching Processes: Variation, Growth, and Extinction of Populations.