 Stochastic SIR epidemic model dynamics on scale-free networksA. Settati, T. Caraballo, A. Lahrouz, I. Bouzalmat and A. Assadouq Mathematics and Computers in Simulation (MATCOM), 2025, vol. 229, issue C, 246-259 Abstract: This study introduces a stochastic SIR (Susceptible–Infectious–Recovered) model on complex networks, utilizing a scale-free network to represent inter-human contacts. The model incorporates a threshold parameter, denoted as Rσ, which plays a decisive role in determining whether the disease will persist or become extinct. When Rσ<1, the disease exhibits exponential decay and eventually disappear. Conversely, when Rσ>1, the disease persists. The critical case of Rσ=1 is also examined. Furthermore, we establish a unique stationary distribution for Rσ>1. Our findings highlight the significance of network topology in modeling disease spread, emphasizing the role of social networks in epidemiology. Additionally, we present computational simulations that consider the scale-free network’s topology, offering comprehensive insights into the behavior of the stochastic SIR model on complex networks. These results have substantial implications for public health policy, disease control strategies, and epidemic modeling in diverse contexts. Keywords: Stochastic SIR model; Scale-free network; Extinction; Persistence; Stationary distribution (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:229:y:2025:i:c:p:246-259 DOI: 10.1016/j.matcom.2024.09.027 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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