Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations

Azmy S. Ackleh; H.T. Banks; Keng Deng; Shuhua Hu

doi:10.3934/mbe.2005.2.289

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2005, Volume 2, Issue 2: 289-315. Doi: 10.3934/mbe.2005.2.289

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Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations

1.
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
2.
Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205

Received: May 2004

Revised: March 2005

Published: February 2005

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Abstract

A least squares technique is developed for identifying unknown parameters in a coupled system of nonlinear size-structured populations. Convergence results for the parameter estimation technique are established. Ample numerical simulations and statistical evidence are provided to demonstrate the feasibility of this approach.

Keywords:

parameter estimation,
coupled system of nonlinear size-structured populations,
finite difference approximation,
numerical simulation,
standard deviation.

Mathematics Subject Classification: 92D25, 65M32, 35L60.

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