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Mathematics and Statistics
Completed Project

The Dynamics of a Predator-Prey Age-Structured Model

Chase Morgan-Floyd, Vassar College ’18 and Prof. Lynn Scow
In this project, we investigate a unique predator-prey system that involves a predator population age structure. Our model consists of a three-dimensional nonlinear system of differential equations, with variables for prey, immature predator, and mature predator. Analysis of system dynamics through computer simulation in Mathematica enables us to examine various bifurcations that occur over continuous time intervals, as well as determine the coexistence point, or equilibrium, where both species can sustain life in an environment.