A Mathematical Model of Measles and its Vaccination

Presenter: Fabian Ramirez

Presenter Status: Undergraduate student

Academic Year: 19-20

Semester: Spring

Faculty Mentor: Omayra Ortega

Department: Mathematics

Funding Source/Sponsor: McNair

Screenshot URL: https://drive.google.com/uc?id=1khmc5jOWPzrp7uT1ze64s78JkyuHd7gc

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.