Mathematical Biology Seminar|
University of Michigan
"A Predator-Prey Interaction Model with Delays"
Wednesday February 23, 2005
3:05pm in LCB 121
I will explore the usefulness of delays in realistic modeling of
predator-prey interactions. Relatively simple models of this type can
result in a surprising variety of dynamical behavior, as is apparent
from numerical simulation. Unfortunately, proving analytic results is
much more difficult with delays, due to the infinite dimensional
nature of the solution space. Using some standard tricks from
ordinary differential equations and some interesting results from
nonlinear functional anlaysis, we will look at questions of linear
stability and the existence of periodic solutions.