We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Global Dynamics Analysis of Homogeneous New Products Diffusion Model.
- Authors
Shuping Li; Zhen Jin
- Abstract
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.
- Subjects
GLOBAL analysis (Mathematics); NEW product development; DECISION making; MATHEMATICAL models; COMPUTER simulation; PARAMETER estimation
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/158901