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- Title
Stochastic Dynamics for the Viral Diffusion of Products in Digital Age.
- Authors
Hongjie Fan; Mingqi He; Wenqiao Qu; Wenbin Hao
- Abstract
Great changes have taken place in the speed and mode of information dissemination in the digital age. In this paper, combined Word of mouth (WOM) and Internet word of mouth (IWOM), we further propose a stochastic SI1I2AD transmission model. WOM and IWOM are two channel to influence the consumers' decisions. We investigate the existence and uniqueness of the solution to the stochastic differential equations model. Then the basic reproduction numbers are obtained, and the dynamical behaviors of the individuals are investigated. In particular, we obtain the sufficient conditions of two types of information dissemination exist alone and together, respectively. Theoretical results show that greater environmental uncertainty poses a risk to the dissemination of product information, resulting in the disappearance of the disseminating population, and that lower noise intensity favours the continued presence of the product in the market. Moreover, only when, the rate at which people from WOM to IWOM, remains low, the two modes of information diffusion could coexist.
- Subjects
DIGITAL technology; STOCHASTIC differential equations; BASIC reproduction number; INFORMATION dissemination
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 5, p969
- ISSN
1992-9978
- Publication type
Article