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Parameter identification for multiperiodic functions

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  • Munir, Mohammad
  • Kausar, Nasreen
  • Shakil, Mohammad

Abstract

In this paper, we first present the idea of multiperiodic extension for a given function. These functions called the multiperiodic or the extended period functions have more than one period or a vector period instead of a scalar number. We present a method to estimate the parameters of these multiperiodic functions using the data collected from their given functions. The results on the parameter estimation, sensitivity functions and generalized sensitivity analysis of the multiperiodic extensions of the functions show that this method is useful for estimating the parameters of a larger model describing a more complex system on the basis of the parameter estimation of the smaller model describing a simpler or a smaller system.

Suggested Citation

  • Munir, Mohammad & Kausar, Nasreen & Shakil, Mohammad, 2021. "Parameter identification for multiperiodic functions," Technological Forecasting and Social Change, Elsevier, vol. 173(C).
    • Handle: RePEc:eee:tefoso:v:173:y:2021:i:c:s0040162521005679
    DOI: 10.1016/j.techfore.2021.121134
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    References listed on IDEAS

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    1. Dany Pascal Moualeu-Ngangue & Susanna Röblitz & Rainald Ehrig & Peter Deuflhard, 2015. "Parameter Identification in a Tuberculosis Model for Cameroon," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-20, April.
    2. Wei-Shih Du & Marko Kostić & Manuel Pinto & Antonio Masiello, 2021. "Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives," Journal of Mathematics, Hindawi, vol. 2021, pages 1-21, April.
    3. Hailay Weldegiorgis Berhe & Oluwole Daniel Makinde & David Mwangi Theuri, 2019. "Parameter Estimation and Sensitivity Analysis of Dysentery Diarrhea Epidemic Model," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-13, February.
    4. Li Xu & Shanshan Lou & Ruiwen Han, 2020. "Global Stability for a Semidiscrete Logistic System with Feedback Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-7, July.
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