Optimal control for management of aquatic population models

Suzanne Lenhart

University of Tennessee


Date: Wednesday, February 17, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual

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.