Department of Mathematics,
University of California San Diego
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Math 258 - Differential Geometry
Yuan Lou
Ohio State Unviersity
Diffusion, advection, and geometry of population habitats
Abstract:
We will discuss the effects of advection along environmental gradients on logistic reaction-diffusion models for population growth. The local population growth rate is assumed to be spatially inhomogeneous, and the advection is taken to be a multiple of the gradient of the local population growth rate. We show that the effects of such advection depend crucially on the gemeotry of the habitats of population: if the habitat is convex, the movement in the direction of the gradient of the growth rate is beneficial to the population, while such advection could be harmful for certain non-convex habitats.
Host: Lei Ni
April 16, 2003
4:00 PM
AP&M 5829
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