Differential equation modeling challenges provide students with an opportunity to improve their mathematical capabilities, critical thinking skills, and communication abilities through researching and presenting on a differential equations model. This article functions to display an archetype summary of an undergraduate student team’s response to a provided prompt. Specifically, the provided mathematical model estimates how certain stimuli from a predator are accumulated to trigger a neural response in a prey. Furthermore, it tracks the propagation of the resultant action potential and the physical flight of the prey from the predator through the analysis of larval zebrafish as a model organism. This article also shares personal testimonies to highlight the benefits of these kinds of challenges for students.
Fralish, Zachary; Tyson, Bernard III; and Stefan, Anthony
"Using Differential Equations to Model Predator-Prey Relations as Part of SCUDEM Modeling Challenge,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 20:
2, Article 7.
Available at: https://scholar.rose-hulman.edu/rhumj/vol20/iss2/7