# Olivia Prosper

Research Interests:

- Mathematical Biology
- applied and computational mathematics

Education

PhD in Mathematics, University of Florida. B.S. and M.S. in Mathematics, University of Florida.

Research

I am fascinated with the application of mathematics to problems related to human health and ecology. Some of my previous work aimed to uncover potential impacts of different types of heterogeneity in malaria ecology, particularly parasite diversity and spatial heterogeneity. This work led to collaborations with peers in biology and statistics to better understand the influence of human movement on vector-borne disease dynamics and the implications for malaria control. I have since continued to work on problems related to malaria, delving deeper into the ecology of the vector,

*Anopheles*mosquitoes, and considering the role of parasite development within-vector on parasite diversity. In an ongoing collaboration with a nephrologist, my goals include developing mathematical models to better understand red blood-cell dynamics in patients with chronic kidney disease undergoing dialysis. My approaches include the development and analysis of differential equation models, optimal control theory, and parameter estimation. Please see my webpage for more details: www.ms.uky.edu/~ofpr222.Teaching

This Fall I am teaching MA 214 (Calculus IV) and MA471G (Advanced Calculus I). Please see www.ms.uky.edu/~ofpr222/MA214 and www.ms.uky.edu/~ofpr222/MA471 for the course webpages.