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

2007, Volume 4, Issue 3: 403-430. doi: 10.3934/mbe.2007.4.403

Previous Article Next Article

1.
Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC

Received: 01 November 2006 Accepted: 29 June 2018 Published: 01 May 2007
MSC : 34A34, 34K05, 49Q12, 34K30.

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[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 403-430. doi: 10.3934/mbe.2007.4.403

Related Papers:
Abstract

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.
Reader Comments

Your name:*

Email:*
© 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)