Open AccessResearch on online advertising attention evaluation decision based on the stability of delay differential equations and Hopf bifurcation analysis
Author(s) -
Xinzhou Xie,
Zhongru Wang,
Tian Li,
Hamoud Dekkiche,
Mohamad Salama
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021242
Subject(s) - stability (learning theory) , schedule , advertising , online advertising , investment (military) , informative advertising , differential (mechanical device) , differential equation , business , computer science , mathematics , advertising account executive , economics , the internet , engineering , machine learning , politics , world wide web , political science , law , aerospace engineering , operating system , mathematical analysis
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.