Events

Optimal control for management of aquatic population models

Suzanne Lenhart

University of Tennessee
Colloquia
https://www.math.utk.edu/people/bio/Suzanne/Lenhart

When

Date: Wednesday, February 17, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Suzanne Lenhart is a Chancellor’s Professor of Mathematics at the University of Tennessee, Knoxville, and is the Associate Director for Education and Outreach at the National Institute for Mathematical and Biological Synthesis (NIMBioS, funded by the National Science Foundation). She is a fellow of the American Mathematical Society, the American Association for the Advancement of Science, Society of Industrial and Applied Mathematics (SIAM), and the Association for Women in Mathematics (AWM). She has served on the Board of Trustees of the SIAM and as the President of AWM. Dr. Lenhart is an applied mathematician working in differential equations and optimal control who has published more than 200 journal articles. Her current research focuses on population models with applications in infectious diseases, invasive species, and natural resources.

Optimal control techniques of ordinary and partial differential equations will be introduced to consider management strategies for aquatic populations. In the first example, managing invasive species in rivers can be assisted by adjustment of flow rates. Control of a flow rate in a partial differential equation model for a population in a river will be used to keep the population from moving upstream. The second example represents a food chain on the Turkish coast of the Black Sea. Using data from the anchovy landings in Turkey, optimal control of the harvesting rate of the anchovy population in a system of three ordinary differential equations (anchovy, jellyfish and zooplankton) will give management strategies.  A third example involves  partial differential equations  for  a  fishery model.