*************** ANNOUNCEMENT **********************
* University of Utah Mathematical Biology Seminar *
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Wednesday, September 23 at 3:20 pm in jwb 208


Speaker:  Thomas Hillen (U of U)

Title:  Reaction Random Walk Equations and Cattaneo's law.


Abstract: 

In 1993 E. Holmes asked: ``Are diffusion models too simple ?''  She
refers to the fact that diffusion equations allow infinite speed of
propagation.  As a partial answer to the above question I study
reaction random walk equations, which are hyperbolic models to
describe spatial motion with finite speed and reactions of
particles. I show how these models are related to reaction diffusion
equations. A detailed bifurcation analysis will be given and Turing
patterns will be shown.  A generalization to N space dimesnions leads
to Cattaneo's equation.  In some cases the global attractor can be
identified.