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1996-01-01
Mark Kot, Mark A. Lewis, P. van den Driessch
Models that describe the spread of invading organisms often assume that the dispersal distances of propagules are normally distributed. In contrast, measured dispersal curves are typically leptokurtic, not normal. In this paper, we consider a class of models, integrodifference equations, that...
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2014-01-01
Alex Potapov, Ulrike E. Schlagel, Mark A. Lewis
We use an evolutionary approach to find “most appropriate” dispersal models for ecological applications. From a random walk with locally or nonlocally defined transition probabilities we derive a family of diffusion equations. We assume a monotonic dependence of its diffusion coefficient on...
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1994
Veit, R. R., Banks, J. E., Holmes, E. E., Lewis, M. A.
Most of the fundamental elements of ecology, ranging from individual behavior to species abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential equation models provide a means of melding organism movement with population processes and have been used...