Work

Dynamics of a Fractional-Order IDSR Rumor Propagation Model with Time Delays

Year: 2025

Type: article

Abstract: With the rapid expansion of the internet and accelerated information dissemination, rumors pose a significant threat to social stability. Effective rumor control requires a thorough understanding of propagation mechanisms. This study develops a Caputo fractional-order IDSR rumor propagation model with time delays. The equilibrium points are identified, and the local asymptotic stability of the system at the positive equilibrium is analyzed. Additionally, the conditions for Hopf bifurcation and its impact on the rumor dynamics are examined. Numerical simulations validate the theoretical findings.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9040242

Authors: Yahui Niu, Ahmadjan Muhammadhaji

Institution: Xinjiang University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W4409367281

FWCI: 3.291

Cites: 18

Cited by: 4

Related to: 10