2007, 4(3): 403-430. doi: 10.3934/mbe.2007.4.403

Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space

1. 

Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC

Received  November 2006 Revised  April 2007 Published  May 2007

We develop a theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space. Specific motivating examples for probability measure dependent differential, partial differential and delay differential equations are given. Schemes that approximate the measures in the Prohorov sense are illustrated with numerical simulations for distributed delay differential equations.
Citation: H.T. Banks, S. Dediu, H.K. Nguyen. Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space. Mathematical Biosciences & Engineering, 2007, 4 (3) : 403-430. doi: 10.3934/mbe.2007.4.403
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