Seminar series
Date
Mon, 03 Nov 2008
15:45
15:45
Location
Oxford-Man Institute
Speaker
Dr. Roger Tribe
Organisation
University of Warwick
The system
u_t = Delta u + buv - cu + u^{1/2} dW
v_t = - uv
models the evolution of a branching population and its usage of a non-renewable resource.
A phase diagram in the parameters (b,c) describes its long time evolution.
We describe this, including some results on asymptotics in the phase diagram for small and large values of the parameters.