Fisher information approach to understand the Gompertz model

As a measure of sustainability, Fisher information is employed in the Gompertz growth model. The effect different oscillatory modulations examined on system's evolution and Probability Density Function (PDF). For sufficiently large frequency periodic fluctuations occurring both positive negative feedbacks, system maintains its initial conditions. A similar PDF shown regardless values when there are feedback. By feedback, model can lose self-organization. Finally, despite fact that logistic systems evolve differently over time, results show they exceptionally terms sustainability.