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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 2: 289-315. doi: 10.3934/mbe.2005.2.289
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Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations

  • 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.

    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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  • 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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    3. Tatyana Luzyanina, Dirk Roose, Gennady Bocharov, Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data, 2009, 59, 0303-6812, 581, 10.1007/s00285-008-0244-5
    4. Necibe Tuncer, Hayriye Gulbudak, Vincent L. Cannataro, Maia Martcheva, Structural and Practical Identifiability Issues of Immuno-Epidemiological Vector–Host Models with Application to Rift Valley Fever, 2016, 78, 0092-8240, 1796, 10.1007/s11538-016-0200-2
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    9. Yu Teng, Nan Kong, Wanzhu Tu, 2018, 9781118960158, 81, 10.1002/9781118960158.ch4
    10. Gennady Bocharov, Vitaly Volpert, Burkhard Ludewig, Andreas Meyerhans, 2018, Chapter 3, 978-3-319-72316-7, 35, 10.1007/978-3-319-72317-4_3
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  • © 2005 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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