Logistic Models with Time-Dependent Coefficients and Some of Their Applications

TL;DR

This paper explores explicit solutions for logistic models with time-dependent coefficients, revisiting classical sunflower seed growth data and discussing applications to biological systems with periodic parameters.

Contribution

It provides explicit solutions for logistic models with variable parameters and demonstrates their application to biological data, including periodic coefficient cases.

Findings

Explicit solutions for logistic models with variable coefficients

Application to sunflower seed growth data

Discussion of biological system applications

Abstract

We discuss explicit solutions of the logistic model with variable parameters. Classical data on the sunflower seeds growth are revisited as a simple application of the logistic model with periodic coefficients. Some applications to related biological systems are briefly reviewed.