We have discussed so far the diffusion equation and its application on relatively small spatial and temporal scales. What we need to do next is to understand how robust the model is to the assumptions that are made, and what are some of the issues that arise.
We will discuss the application of the model to a variety of different
cases, and examine the robgustness of the model to changes in the assumptions
-- particularly assumptions about the age structure of the system under
consideration, and about the uniformity of the population. This examination
will naturally lead into a discussion of assumptions that will segue into
the next lecture on integrodifference equations.
Stratified Diffusion in Biological Invasions. Nanako Shigesada, Kohkichi
Kawasaki, Yasuhiko Takeda American Naturalist, Vol. 146, No. 2. (Aug.,
1995), pp. 229-251.
the Velocity of Animal Range Expansion (in Mobile Species). F. van
den Bosch, R. Hengeveld, J. A. J. Metz Journal of Biogeography, Vol.
19, No. 2. (Mar., 1992), pp. 135-150.
*Andow et al., 1990 Spread of invading organisms. Landscape
Ecol. 4: 177-188
(to be sent as a pdf)