A Moment Closure Technique for a Stochastic Predator-Prey Model

When
Start: 11/08/2017 - 4:15pm
End  : 11/08/2017 - 5:15pm

Category
Colloquium

Speaker
Jenny Switkes (Cal Poly Pomona)

Abstract
The classical deterministic Lotka-Volterra predator-prey model famously leads to closed curves in the predator-prey phase plane. A stochastic version of this model has the form of a simple birth-death process, with the expected values governed by a system of differential equations almost identical in form to the deterministic system, the difference in rate function for each species being proportional to the time-dependent covariance of the populations of the two species. We explore the impact of this covariance term, using a moment closure technique to obtain a closed system of differential equations for the expected values, variances, and covariance of the populations.  This talk will be accessible to students with a background in differential equations; some experience with probability is helpful but not required.
 
Where
Argue Auditorium, Millikan, Pomona College