Global Dynamics Analysis of Homogeneous New Products Diffusion Model | Zendy

Shuping Li | Zendy; Zhen Jin | Zendy

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Global Dynamics Analysis of Homogeneous New Products Diffusion Model

Author(s) -

Shuping Li,

Zhen Jin

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/158901

Subject(s) - diffusion , product (mathematics) , value (mathematics) , computer science , homogeneous , interpersonal communication , dynamics (music) , stage (stratigraphy) , statistical physics , mathematics , psychology , social psychology , physics , thermodynamics , pedagogy , paleontology , geometry , machine learning , biology

A mathematical model with stage structures is presented that incorporates theawareness stage and the decision-making stage; individuals exchange product information by twochannels: mass media and interpersonal communication. When the persuasive advertisement isneglected in the decision-making stage, we find a threshold value about whether new productsdiffusion is successful or not. When the persuasive advertisement is considered, there must exist apositive equilibrium under some parameter condition; moreover, it must be globally asymptoticallystable as long as it exists. Results show that the persuasive advertisement in the decision-makingstage does not influence new products' successful diffusion, but the critical value that new productsdiffuse successfully decreases when the persuasive advertisement is considered. Some numericalsimulations confirm our theoretical analysis and demonstrate the influence of parameters on thesystem. Corresponding to the analysis results, some diffusion strategies are provided

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