Fisher information approach to understand the Gompertz model

Eun-jin Kim, Avan Al-Saffar

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Abstract

As a measure of sustainability, Fisher information is employed in the Gompertz growth model. The effect of different oscillatory modulations is examined on the system's evolution and Probability Density Function (PDF). For a sufficiently large frequency of periodic fluctuations occurring in both positive and negative feedbacks, the system maintains its initial conditions. A similar PDF is shown regardless of the initial values when there are periodic fluctuations in positive feedback. By periodic fluctuations in negative feedback, the Gompertz model can lose its self-organization. Finally, despite the fact that the Gompertz and logistic systems evolve differently over time, the results show that they are exceptionally similar in terms of information and sustainability.
Original languageEnglish
Pages (from-to)200-279
Number of pages11
JournalMathematics in Applied Sciences and Engineering
Volume3
Issue number4
DOIs
Publication statusPublished - 26 Dec 2022

Bibliographical note

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to use and share the work with an acknowledgement of the work's authorship and initial publication in this journal.

Keywords

  • Dynamical system
  • sustainability
  • fisher Information
  • periodic fluctuations
  • probability density function
  • equilibrium points

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