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A Mathematical Model for New Product Diffusion: The Influence of Innovators and Imitators

Steffens, Paul R. & Murthy, D. N. Prabhakar (1992) A Mathematical Model for New Product Diffusion: The Influence of Innovators and Imitators. Mathematical and Computer Modelling, 16(4), pp. 11-26.

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Abstract

Abstract - A simple mathematical model describing the diffusion of a new, infrequently purchased product is proposed. Many previous papers have reported that the differing behaviour of "innovators" and "imitators" is fundamental to the diffusion process. However, previous models have failed to represent this differing behaviour effectively. The model presented considers a new and, importantly, simple way of viewing the diffusion process for consumer durables based on a simplified representation of "innovative" and "imitative" response of adopters to certain types of product information. The resulting model can accommodate bimodal first purchase sales curves, which are found to occur quite frequently, in addition to the more traditional unimodal curves. The resulting shape of the diffusion curve, which is the early product life cycle (PLC), can be explained in terms of key dynamic parameters of the model. Data for six consumer durables are analysed to test the model's performance.

Impact and interest:

10 citations in Scopus
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8 citations in Web of Science®

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ID Code: 6515
Item Type: Journal Article
Keywords: Paul Steffens, product innovation, consumer behaviour, durable products, mathamatical model
DOI: 10.1016/0895-7177(92)90031-F
ISSN: 0895-7177
Subjects: Australian and New Zealand Standard Research Classification > COMMERCE MANAGEMENT TOURISM AND SERVICES (150000) > BUSINESS AND MANAGEMENT (150300)
Australian and New Zealand Standard Research Classification > COMMERCE MANAGEMENT TOURISM AND SERVICES (150000) > BUSINESS AND MANAGEMENT (150300) > Small Business Management (150314)
Australian and New Zealand Standard Research Classification > COMMERCE MANAGEMENT TOURISM AND SERVICES (150000) > BUSINESS AND MANAGEMENT (150300) > Innovation and Technology Management (150307)
Australian and New Zealand Standard Research Classification > COMMERCE MANAGEMENT TOURISM AND SERVICES (150000) > MARKETING (150500) > Marketing not elsewhere classified (150599)
Divisions: Current > QUT Faculties and Divisions > QUT Business School
Copyright Owner: Copyright 1992 Elsevier
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 15 Mar 2007
Last Modified: 05 Jan 2011 23:30

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