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Andrew Nevai


MATHEMATICS COLLOQUIUM

Speaker: Andrew Nevai
Title: Resource Theft and Spatial Population Dynamics
Affiliation: University of Central Florida
Date: Friday, November 2, 2012
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. We describe the dynamics of a producer-scrounger system in a spatial habitat using a partial differential equation model. Both species are assumed to increase logistically and to move randomly in their environment. Producers can obtain the resource directly from the environment, whereas scroungers must steal it from nearby producers. When possible, parameter combinations which allow producers and/or scroungers to persist either alone or together are distinguished from those in which they cannot.