Effects of Internet sales promotion on a differential advertising model
type: Item
instance of: scholarly article
title: Effects of Internet sales promotion on a differential advertising model
zbMATH Open document ID: 1422.90018
DOI: 10.1155/2018/8618146
author: Hui Jiang
author: Junhai Ma
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: Advertising and sales promotion are two important specific marketing communications tools. In this paper, Internet sales promotion is introduced into a differential advertising model and investigated quantitatively. The conditions for the existence and stability of periodic solutions are obtained. Flip bifurcation of periodic solution is investigated analytically. The results show that the sales promotion parameter can modify the stability of the differential advertising model and lead to chaos through flip bifurcation, the sales level will eventually be no less than a given value by adjusting the value of the sales promotion parameter, and the optimal sales promotion strategy can lead to maximum profit. Numerical results for periodic solutions, bifurcation diagrams, and the effects of sales promotion strategies, which are illustrated with an example, are in good agreement with the theoretical analysis. These results have certain significant theoretical and practical value in related markets.
Mathematics Subject Classification ID: 90B60
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 7026713
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8618146
OpenAlex ID: W2801628158
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description: scientific article; zbMATH DE number 7026713