American Institute of Mathematical Sciences

Advanced
2005, 2(2): 289-315. doi: 10.3934/mbe.2005.2.289

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

Azmy S. Ackleh 1, , H.T. Banks 2, , Keng Deng 1, and  Shuhua Hu 1,

1. 

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, United States, United States, United States
2. 

Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205, United States

Received  May 2004 Revised  March 2005 Published  March 2005

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: finite difference approximation, coupled system of nonlinear size-structured populations, parameter estimation, standard deviation., numerical simulation.
Mathematics Subject Classification: 92D25, 65M32, 35L6.
Citation: Azmy S. Ackleh, H.T. Banks, Keng Deng, Shuhua Hu. Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations. Mathematical Biosciences & Engineering, 2005, 2 (2) : 289-315. doi: 10.3934/mbe.2005.2.289
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