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

Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Mathematical Sciences

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. © 2021 American Institute of Mathematical Sciences. All rights reserved.

Description

This article is not available at CUD collection. The version of scholarly record of this article is published in Mathematical Biosciences and Engineering (2021), available online at: https://doi.org/10.3934/mbe.2021242

Keywords

Complex variable function, Deformation analysis, Shallow buried circular tunnel surrounding rock, Stress finite element analysis, Big data, Differential equations, Hopf bifurcation, Investments, Best decision, Data environment, Decision-based, Delay differential equations, Hopf bifurcation analysis, Online advertising, Product sales, Time lag, Marketing

Citation

Xie, X., Wang, Z., Tian, L., Dekkiche, H., & Salama, M. (2021). Research on online advertising attention evaluation decision based on the stability of delay differential equations and hopf bifurcation analysis. Mathematical Biosciences and Engineering, 18(4), 4761-4771. https://doi.org/10.3934/mbe.2021242

DOI