Natural System Management: A Mathematician’s Perspective

Suzanne Lenhart

University of Tennessee
Barton Lectures in Computational Mathematics


Date: Wednesday, April 17, 2024
Time: 4:00 pm - 5:00 pm
Location: Virtual/Teams Link:
Barton Lectures in Computational Mathematics

Mathematical modeling can represent the population dynamics of a variety of natural systems. Specific management features can be included directly into the model framework, and model outcomes can suggest the need for external actions further affecting the environment. Models with discrete and continuous time steps, and some spatial features will be presented. In one example, optimal control techniques to design time varying harvest rates of anchovy stock will be illustrated in a food chain system of differential equations for the Turkish coast of the Black Sea, using landing data. In another example, we find the relationship between air temperature and emergence success of hatchlings across multiple nesting seasons to better understand the potential impact of climate change on Loggerhead sea turtle populations. We demonstrate the effect of changing hatchling emergence success on the juvenile and adult populations using a combination of a statistical model and a discrete time model (with two time scales).