Dynamic analysis of a SI1I2AD information dissemination model considering the word of mouth

Word of mouth(WOM) communication, that is, the dissemination of information about consumers’ experiences of use, has many implications for consumer attitudes. Based on this, we proposed a S I 1 I 2 A D (Susceptible-Infected1-Infected2-Agreeable-Disagreeable) model to analyze the influence of access...

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Bibliographic Details
Published in:Nonlinear dynamics Vol. 111; no. 24; pp. 22763 - 22780
Main Authors: Qiao, Rongrong, Hu, Yuhan
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.12.2023
Springer Nature B.V
Subjects:
Acquired immune deficiency syndrome
AIDS
Automotive Engineering
Classical Mechanics
Communication
Consumer behavior
Consumers
Control
Decision analysis
Differential equations
Dynamical Systems
Engineering
Epidemics
Fractals
HIV
Human immunodeficiency virus
Information dissemination
Internet
Marketing
Mathematical models
Mechanical Engineering
Ordinary differential equations
Original Paper
Product development
Purchasing
Stability
Vibration
Stability analysis
Basic regeneration number
Differential equation
Information spreading
ISSN:0924-090X, 1573-269X
Online Access:Get full text
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Summary:Word of mouth(WOM) communication, that is, the dissemination of information about consumers’ experiences of use, has many implications for consumer attitudes. Based on this, we proposed a S I 1 I 2 A D (Susceptible-Infected1-Infected2-Agreeable-Disagreeable) model to analyze the influence of access to two information channels on consumers’ purchase choices. First, the fundamental regeneration number R 0 and the three equilibrium points are solved according to the stability theory of ordinary differential equations. Then, the local asymptotic stability of the equilibrium points is proved. Finally, the effects of traditional WOM and Internet word of mouth (IWOM) on purchase decisions are quantitatively analyzed based on numerical simulations. Thereby, relevant suggestions are given for product marketing.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-09021-5