Deterministic and Stochastic Online Social Network Models With Varying Population Size
Department
Mathematics
Document Type
Article
Publication Date
1-1-2023
Abstract
In this paper, ordinary differential equation (ODE) and stochastic differential equation (SDE) models are developed to describe the dynamics of online social network user adoption and abandonment. A series of criteria on the uniqueness and positivity of solutions as well as the stability of the user-free equilibrium for both ODE and SDE models are obtained. Numerical simulations are then carried out to verify the qualitative analysis results. Finally, a case study utilizing the historical Facebook daily active user data is conducted to demonstrate the practicality of the models.
Journal Title
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Journal ISSN
12013390
Volume
30
Issue
4
First Page
253
Last Page
275
Digital Object Identifier (DOI)
NA
COinS