Research on online advertising attention evaluation decision based on the stability of delay differential equations and Hopf bifurcation analysis

Xinzhou Xie; Zhongru Wang; Li Tian; Hamoud Dekkiche; Mohamad Salama; Xinzhou Xie; Zhongru Wang; Li Tian; Hamoud Dekkiche; Mohamad Salama

doi:10.3934/mbe.2021242

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 4: 4761-4771. doi: 10.3934/mbe.2021242

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Research on online advertising attention evaluation decision based on the stability of delay differential equations and Hopf bifurcation analysis

1.
School of New Media, Peking University, Beijing, China
2.
Chinese Academy of Cyberspace Studies, Beijing, China
3.
Canadian University Dubai, Dubai, United Arab Emirates
4.
Mohamad Salama Applied Science University, Al Eker, Kingdom of Bahrain

Academic Editor: Juan Luis García Guirao

Received: 18 March 2021 Accepted: 19 May 2021 Published: 31 May 2021

This paper uses the stability of the delay differential equation to study its impact on online advertising, helps analyze Hopf branch characteristics in a big data environment, helps companies make online advertising decisions, and maximizes the benefits of product sales. The thesis fully considers various factors such as advertising volume, advertising schedule, and advertising investment level, discusses the singularity types of the advertising delay differential equation, and gives the best decision for advertising investment.The stability of the time-lag differential equation studied in this paper is to study its impact on online advertising, to help analyze the Hopf branch characteristics in the big data environment, and to help companies make online advertising decisions. structure of this article is also from the amount of advertising, the time of advertising, Advertising investment level gradually expands with a certain degree of continuity.
- complex variable function,
- shallow buried circular tunnel surrounding rock,
- deformation analysis,
- stress finite element analysis
Citation: Xinzhou Xie, Zhongru Wang, Li Tian, Hamoud Dekkiche, Mohamad Salama. Research on online advertising attention evaluation decision based on the stability of delay differential equations and Hopf bifurcation analysis[J]. Mathematical Biosciences and Engineering, 2021, 18(4): 4761-4771. doi: 10.3934/mbe.2021242

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Abstract

This paper uses the stability of the delay differential equation to study its impact on online advertising, helps analyze Hopf branch characteristics in a big data environment, helps companies make online advertising decisions, and maximizes the benefits of product sales. The thesis fully considers various factors such as advertising volume, advertising schedule, and advertising investment level, discusses the singularity types of the advertising delay differential equation, and gives the best decision for advertising investment.The stability of the time-lag differential equation studied in this paper is to study its impact on online advertising, to help analyze the Hopf branch characteristics in the big data environment, and to help companies make online advertising decisions. structure of this article is also from the amount of advertising, the time of advertising, Advertising investment level gradually expands with a certain degree of continuity.

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