Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

November 22, 2021


Pages

415-424


DOI

Article

User online consumption behaviour based on fractional differential equation

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Authors

Dongya Zhou Affiliation:
Zhengzhou Electric Power Vocational and Technical College Marketing Technical, Zhengzhou, Henan 451450, China
, Lixia Li Affiliation:
Zhengzhou Electric Power Vocational and Technical College Marketing Technical, Zhengzhou, Henan 451450, China
, Bahjat Fakieh Affiliation:
Department of Information System, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia
and Ragab Ibrahim Ismail Affiliation:
Department of Accounting and Finance, Faculty of Administrative Sciences, Applied Science University, Al Eker, Kingdom of Bahrain


Abstract

User consumption behaviour is a subject worthy of study. Because consumers’ consumption behaviours are dynamic and with individual differences, various factors need to be considered when establishing a fractional differential equation model of users’ online consumption behaviour. The two elements, namely advertising and price are more evident in influencing consumer behaviour. Therefore, the paper establishes a product diffusion fractional differential equation model of price and advertising presence or absence to study the impact of these two factors on consumer behaviour. It turns out that ignoring the advertisement and the cost of the product is related to the characteristics of the consumer network. When there are advertising and price factors, product awareness is related to price constraints.


Keywords

complex network, fractional differential equation, user network consumption, product diffusion, marketing strategy, 35A24


Citation

Zhou, D., Li, L., Fakieh, B., & Ismail, R. I. (2021). User online consumption behaviour based on fractional differential equation. Applied Mathematics and Nonlinear Sciences, 6(2), 415–424. https://doi.org/10.2478/amns.2021.2.00093

Published by: Engineering Journals

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