A new approach to the logistic function with some applications

TL;DR

This paper introduces a novel method for analyzing logistic functions by identifying characteristic points related to derivatives, with applications demonstrated in economic and management models.

Contribution

The paper presents a new approach to studying logistic functions through derivative zeroes, offering practical applications in economics and management.

Findings

Identified characteristic points in logistic trends.

Applied method to real-world economic data.

Demonstrated usefulness in management models.

Abstract

In the present paper we propose a new approach to investigate the logistic function, commonly used in mathematical models in economics and management. The approach is based on indicating in a given time series, having a logistic trend, some characteristic points corresponding to zeroes of successive derivatives of the logistic function. We give also examples of application of this method.