A PDE Model for Biological Aggregation
This event occurred in the past
Date and Time
Wednesday, February 2, 2011 from 12:15 p.m. to 1:30 p.m.
Serra Hall, Room 211
As part of the Department of Mathematics and Computer Science Seminar Series, Nancy Rodriguez '06 of UCLA Department of Mathematics will give a presentation on "A PDE Model for Biological Aggregation: the Battle between Dispersal and Aggregation."
This presentation is sponsored by the Office of the Provost. Pizza and drinks will be provided.
Recently, there has been much interest in modeling the competition between a species' desire to aggregate and the desire for space, referred to as dispersal. In this talk Rodriguez will discuss how we can use Partial Differential Equations to model this competition. Once we obtain the model, Rodriguez will discuss the fundamental quantities that help us determine when aggregation defeats dispersal, when dispersal defeats aggregation, and when they balance out. These correspond, respectively, to the existence of solutions which blow up in finite time, the existence of global in time solutions, and a critical mass phenomena. Knowledge of calculus and ODEs will be assumed.