Abstract : A least-squares method is developed for estimating parameters in a size-structured population model with distributed states-at-birth from field data. First and second order finite difference schemes for approximating the nonlinear-nonlocal partial differential equation model are utilized in the least-squares problem. Convergence results for the computed parameters are established. Numerical results demonstrating the efficiency of the technique are provided.
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Azmy Ackleh, Xinyu Li, Baoling Ma. Parameter Estimation in a Size-Structured Population Model with Distributed States-at-Birth. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.43-57, ⟨10.1007/978-3-319-55795-3_3⟩. ⟨hal-01626901⟩