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

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

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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: 01 May 2004 Accepted: 29 June 2018 Published: 01 March 2005
MSC : 92D25, 65M32, 35L60.

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.
- finite difference approximation,
- coupled system of nonlinear size-structured populations,
- parameter estimation,
- standard deviation.,
- numerical simulation
Citation: Azmy S. Ackleh, H.T. Banks, Keng Deng, Shuhua Hu. Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations[J]. Mathematical Biosciences and Engineering, 2005, 2(2): 289-315. doi: 10.3934/mbe.2005.2.289

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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.
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