Event Detail

Event Type: 
Mathematical Biology Seminar
Date/Time: 
Wednesday, October 5, 2011 - 09:00 to 10:00
Location: 
STAG 222
Abstract: 

Animal movement in a fragmented landscape is a topic of both
active  research and interest in ecology. It has been observed that animal
movement patterns depend upon the distribution of resources and the presence of other
species in the landscape. An interesting question that needs to be answered
is how animals react to the sharp interfaces created by fragmentation of
landscapes. Recently Mckenzie, Lewis and Merrill (2009),  proposed
the first passage time as a novel approach for understanding the effect of
fragmented landscapes on animal movement. They used diffusion type equation, which is
commonly used to describe the distribution of a large population of animals
or the expected location of an individual animal in space and time (Turchin
1991, Okubo and Levin 2001). In the diffusion model, it is vital to have
correct interface conditions at interfaces created by fragmentation of
landscape. In this talk we discuss a way to find the correct interface
conditions using asymmetries in occupation times of an animal on one side of
the interface as opposed to the other side.