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Mathematical Biology seminar
Tom Robbins
University of Utah
"Biological invasions in heterogeneous environments"
September 3, 2003
3:05 pm LCB 323
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.
For more information contact J. Keener, 1-6089
E-mail:
keener@math.utah.edu
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