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.