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 language | English |
|---|---|
| Pages (from-to) | 200-279 |
| Number of pages | 11 |
| Journal | Mathematics in Applied Sciences and Engineering |
| Volume | 3 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 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