DEPARTMENT OF MATHEMATICAL AND STATISTICAL SCIENCES

UNIVERSITY OF ALBERTA

MATHEMATICAL BIOLOGY SEMINAR

MONDAY, OCTOBER 25, 2004

3:00 - 4:00 p.m.

CAB 657

Biological invasions in heterogeneous environments

Dr. Tom Robbins

Department of Mathematical and Statistical Science, University of Alberta,

and Department of Mathematics, University of Utah

In this talk, we consider an Integrodifference model (continuous space,
discrete time) for the growth and spread of a plant community in an
infinite, one-dimensional heterogeneous environment. We model seed
dispersal as a diffusion process, with a spatially dependent deposition
rate, and model the population dynamics with spatially dependent growth
functions. For the first part of the talk, we consider the problem of
community establishment or the invasibility of the environment. In the
second part of the talk, we consider the case where the environment is>
favorable for community establishment, and assume that the expanding
population evolves into a traveling wave front near the leading edge of
the population. For these assumptions, we derive a dispersion relation for the speed of the wave.