Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations
Azmy S. Ackleh - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, United States (email)
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.
Received: May 2004; Accepted: March 2005; Published: March 2005.
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