Work

Dimensional reduction of an SIS epidemic network model with saturated treatment and human mobility

Year: 2025

Type: article

Abstract: Globalization and intensified socioeconomic activities have led to complex interconnected social networks that enhance global interactions while also increasing the risks of transmitting infectious diseases. Presented here is a susceptible–infected–susceptible epidemic model incorporating a saturated treatment function and human mobility within social networks. Using Gao–Barzel–Barabási theory, the original high-dimensional system is reduced to a two-dimensional model, and the dynamics of this two-dimensional system are investigated theoretically. This includes the presence and stability of equilibria and a Hopf bifurcation that may only manifest at a specific equilibrium point. Numerical experiments validate the reduced model and predict network resilience through a bifurcation resilience function. Also examined are the effects of saturated treatment and human mobility on the infected proportion. This work provides a framework for assessing social network resilience and optimizing containment strategies during public health crises.

Source: AIP Advances

DOI: 10.1063/5.0256210

Authors: Si Li, Tingting Fu, Rong Yuan, Yongzheng Sun, Maoxing Liu

Institutions: North University of China, China University of Mining and Technology, Beijing University of Civil Engineering and Architecture

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,350