Work

Dynamical analysis of two discrete-time rumor propagation models in online social networks

Year: 2024

Type: article

Abstract: The main aim of this work is to propose and analyze two discrete-time rumor propagation models in online social networks. These models are discrete-time versions of two well-known continuous-time rumor propagation models constructed in recent studies. We perform a rigorous mathematical analysis for global dynamics of the proposed discrete-time models. More specifically, invariant sets, equilibrium points, and their local and global asymptotic stability are established. The obtained results indicate that the discrete-time models can capture essential dynamical properties of the continuous-time models under easily-verified conditions, but they are particularly advantageous in practical applications and real-life situations. Lastly, several illustrative numerical examples supporting the theoretical findings are reported and discussed.

Source: Mathematical Foundations of Computing

DOI: 10.3934/mfc.2024039

Authors: Hoai Thu Pham, Ha Hai Truong, Manh Tuan Hoang

Institutions: Thai Nguyen University of Information and Communication Technology, FPT University

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402990106

FWCI:

Cites: 39

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Related to: 10