Discrete Verhulst model based on a linear time-varying

Abstract

Purpose

The purpose of this paper is to build a linear time-varying discrete Verhulst model (LTDVM), to realise the convert from continuous forms to discrete forms, and to eliminate traditional grey Verhulst model's error caused by difference equations directly jumping to differential equations.

Design/methodology/approach

The methodology of the paper is by the light of discrete thoughts and countdown to the original data sequence.

Findings

The research of this model manifests that LTDVM is unbiased on the “s” sequential simulation.

Practical implications

The example analysis shows that LTDVM embodies simulation and prediction with high precision.

Originality/value

This paper is to realise the convert from continuous forms to discrete forms, and to eliminate traditional grey Verhulst model's error caused by difference equations directly jumping to differential equations. Meanwhile, the research of this model manifests that LTDVM is unbiased on the “s” sequential simulation.

Citation

Long, X., Wei, Y. and Long, Z. (2014), "Discrete Verhulst model based on a linear time-varying", Grey Systems: Theory and Application, Vol. 4 No. 2, pp. 299-310. https://doi.org/10.1108/GS-12-2013-0039