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Parameter identification for gompertz and logistic dynamic equations

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  • Elvan Akın
  • Neslihan Nesliye Pelen
  • Ismail Uğur Tiryaki
  • Fusun Yalcin

Abstract

In this paper, we generalize and compare Gompertz and Logistic dynamic equations in order to describe the growth patterns of bacteria and tumor. First of all, we introduce two types of Gompertz equations, where the first type 4-paramater and 3-parameter Gompertz curves do not include the logarithm of the number of individuals, and then we derive 4-parameter and 3-parameter Logistic equations. We notice that Logistic curves are better in modeling bacteria whereas the growth pattern of tumor is described better by Gompertz curves. Increasing the number of parameters of Logistic curves give favorable results for bacteria while decreasing the number of parameters of Gompertz curves for tumor improves the curve fitting. Moreover, our results overshadow some of the existing results in the literature.

Suggested Citation

  • Elvan Akın & Neslihan Nesliye Pelen & Ismail Uğur Tiryaki & Fusun Yalcin, 2020. "Parameter identification for gompertz and logistic dynamic equations," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-21, April.
    • Handle: RePEc:plo:pone00:0230582
    DOI: 10.1371/journal.pone.0230582
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