Discrete Verhulst model based on a linear time-varying. Issue 2 (29th July 2014)

• Record Type: Journal Article
• Authors: Naiming Xie, Dr Yingjie Yang and Dr Chuanmin Mi, Professor; Long, Xia; Wei, Yong; Long, Zhao
• Is Part Of: Grey systems. Volume 4:Issue 2(2014)
• Page Start: 299
• Page End: 310
• Publication Date: 2014-07-29
• Subjects: Cybernetics -- Periodicals; Systems engineering -- Periodicals; 003.5
• DOI: 10.1108/GS-12-2013-0039
• Languages: English
• ISSNs: 2043-9377

Abstract

<abstract> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <sec> <title content-type="abstract-heading">Purpose</title> <p> – 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. </p> </sec> <sec> <title content-type="abstract-heading">Design/methodology/approach</title> <p> – The methodology of the paper is by the light of discrete thoughts and countdown to the original data sequence. </p> </sec> <sec> <title content-type="abstract-heading">Findings</title> <p> – The research of this model manifests that LTDVM is unbiased on the "<italic>s</italic>" sequential simulation. </p> </sec> <sec> <title content-type="abstract-heading">Practical implications</title> <p> – The example analysis shows that LTDVM embodies simulation and prediction with high precision. </p> </sec> <sec> <title content-type="abstract-heading">Originality/value</title> <p> – 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 "<italic>s</italic>" sequential simulation.</p> </sec> </abstract>