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

Pages: 289 - 315, Volume 2, Issue 2, April 2005

doi:10.3934/mbe.2005.2.289       Abstract        Full Text (1002.1K)       Related Articles

Azmy S. Ackleh - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, United States (email)
H.T. Banks - Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205, United States (email)
Keng Deng - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, United States (email)
Shuhua Hu - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, 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.
Mathematics Subject Classification:  92D25, 65M32, 35L60.

Received: May 2004;      Accepted: March 2005;      Published: March 2005.