Applied & Computational Mathematics seminar: Blue crab population model and seasonal disease spread
Oct 29, 2021, 1:30 - 2:30 PM
Speaker: Leah Shaw, William and Mary
Title: Blue crab population model and seasonal disease spread
Abstract: Blue crabs form the most valuable commercial fishery in the Chesapeake Bay and are a key species in food webs. Understanding their population dynamics is necessary for successful regulation of the blue crab fishery. I will present a stage-structured model consisting of ordinary differential equations for blue crab population. The model is fit to data and used to test possible reasons for a large drop in blue crab population in the 1990s. I will also discuss a blue crab pathogen, Hematodinium, and motivate the importance of a seasonal model for blue crabs. I’ll present a simplified model consisting of impulsive differential equations (a flow-kick system) and discuss how nonlinearities in crab mortality affect disease spread in the system.
Time: Friday, October 29, 2021, 1:30pm – 2:30pm
Place: Exploratory Hall, room 4106
In-person and on Zoom