Dynamics Analysis of a Mathematical Model for New Product Innovation Diffusion
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, a mathematical model with time-delay-related parameters and media coverage to describe the diffusion process of new products is proposed, in which the time-delay-related parameters denote the stage in which potential customers decide whether to adopt a new product.
Then, the stability and the Hopf bifurcation of the proposed model are analyzed in detail.
The center manifold theorem and the normal form theory are used to investigate the stability of the bifurcating periodic solution.
Moreover, a numerical simulation is conducted to investigate the difference between the model with delay-dependent parameters and that with delay-independent parameters.
The results show that there is significant difference between the two models.
American Psychological Association (APA)
Li, Chunru& Ma, Zujun. 2020. Dynamics Analysis of a Mathematical Model for New Product Innovation Diffusion. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153086
Modern Language Association (MLA)
Li, Chunru& Ma, Zujun. Dynamics Analysis of a Mathematical Model for New Product Innovation Diffusion. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1153086
American Medical Association (AMA)
Li, Chunru& Ma, Zujun. Dynamics Analysis of a Mathematical Model for New Product Innovation Diffusion. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153086