Global Dynamics Analysis of Homogeneous New Products Diffusion Model
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A mathematical model with stage structures is presented that incorporates the awareness stage and the decision-making stage; individuals exchange product information by two channels: mass media and interpersonal communication.
When the persuasive advertisement is neglected in the decision-making stage, we find a threshold value about whether new products diffusion is successful or not.
When the persuasive advertisement is considered, there must exist a positive equilibrium under some parameter condition; moreover, it must be globally asymptotically stable as long as it exists.
Results show that the persuasive advertisement in the decision-making stage does not influence new products' successful diffusion, but the critical value that new products diffuse successfully decreases when the persuasive advertisement is considered.
Some numerical simulations confirm our theoretical analysis and demonstrate the influence of parameters on the system.
Corresponding to the analysis results, some diffusion strategies are provided.
American Psychological Association (APA)
Li, Shuping& Jin, Zhen. 2013. Global Dynamics Analysis of Homogeneous New Products Diffusion Model. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-450514
Modern Language Association (MLA)
Li, Shuping& Jin, Zhen. Global Dynamics Analysis of Homogeneous New Products Diffusion Model. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-450514
American Medical Association (AMA)
Li, Shuping& Jin, Zhen. Global Dynamics Analysis of Homogeneous New Products Diffusion Model. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-450514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450514