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Modelling Fruit Characteristics During Apple Maturation: A Stochastic Approach

Author

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  • N. Scheerlinck
  • A. Peirs
  • M. Desmet
  • A. Schenk
  • B.M. Nicolaï

Abstract

At present, mathematical models to predict the change of fruit quality attributes during apple maturation are deterministic and do not take into account the large natural variability of fruit quality attributes during the growing season. In this work a stochastic system approach was developed to describe the quality evolution of fruit. The basic dynamics of fruit quality evolution was represented by means of a stochastic system, in which the initial conditions and the model parameters were specified as random variables together with their probability density functions. A fundamental approach from stochastic systems theory was used to compute the propagation of the probability density functions of fruit quality attributes, which requires the numerical solution of the Fokker--Planck equation.

Suggested Citation

  • N. Scheerlinck & A. Peirs & M. Desmet & A. Schenk & B.M. Nicolaï, 2004. "Modelling Fruit Characteristics During Apple Maturation: A Stochastic Approach," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 10(2), pages 149-168, June.
    • Handle: RePEc:taf:nmcmxx:v:10:y:2004:i:2:p:149-168
    DOI: 10.1080/13873950412331318116
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    Cited by:

    1. Arenas, Abraham J. & González-Parra, Gilberto & Jódar, Lucas, 2010. "Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV)," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 971-981.

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