Talks and presentations

Using differential equations to model individual behaviors that limit disease spread

Butler, C. Talk (2021), MathFest, Virtual (Sococo)

I gave a talk at MathFest as part of a contributed paper session on using modeling in differential equations courses. In this talk, I highlighted my own experience using these methods in my mentorship activities, as well as emphasizing the use of computational tools (e.g. NetLogo) to demonstrate important concepts.

Mathematically modeling gene drive control of mosquito-borne diseases

Butler, C. Talk (2021), Multiple venues, Location varies

I gave talks on my gene drive research (how genetic load is modulated by density-dependence) at SMB 2021, SIAM DS21, and as a poster presentation at the GGI 4th annual retreat (see below). A paper summarizing these results will be submitted in the coming months.

A Mathematical Model of the Opioid Epidemic in the State of Maine

Butler, C. Talk (2020), Triangle Area Graduate Mathematics Conference (TAGMaC), Virtual (Zoom)

I gave a talk virtually at TAGMaC 2020 about the research I did as an undergraduate mathematically modeling the opioid epidemic in Maine. Since then, the project has become more ambitious in studying a general model of the opioid epidemic (for any state) using Maine as a case study. This research was funded in large part by the Margaret Chase Smith Policy Center at the University of Maine.

A predator-prey model with parasitic infection of the predator

Butler, C. Presentation (2020), Symposium on Biomathematics and Ecology Education and Research (BEER), Virtual (Zoom)

I presented some of my personal research of a predator-prey system with parasitic infection at e-BEER in 2020. The poster I made is attached below. Originally the project started out as a fun side project in NetLogo, with the goal of illustrating existence between a predator (represented by sheep), prey (the grass of a pasture), and a parasite ( H. contortus). Eventually it grew to encompass a class project, and I was so interested in the results that I shared them at e-BEER.

Comparison of screening for MRSA at hospital admission and discharge

Butler, C. & M. Preciado. Presentation (2018), Multiple venues, Location varies

I presented the research I did at the Mathematical and Theoretical Biology Institute at multiple venues, including at the institute itself, the 2018 annual SACNAS conference in San Antonio, TX, and at the 2018 NIMBIoS Undergraduate Research Conference in Knoxville, Tennessee.

Population models on continuous-valued heterogeneous landscapes

Butler, C. Presentation (2017), University of Maine Student Symposium, Orono, Maine

For this project, with the help of Prof. David Hiebeler at the University of Maine, we studied the behavior of a theoretical population of organisms with landscape-dependent fecundity and mortality (exactly which one was varied for different experiments). The poster I prepared for this conference is shown below.