2003/07/07 by Yukio Hayashi, Hayashi, Yukio
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence #Quantitative Biology (q-bio) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #q-bio
paper · pdf · doi:10.48550/arxiv.cond-mat/0307135
4 pages, 2 figures
arxiv created 2003/07/07 · openalex publication_date 2003/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate mechanisms of the typically observed recoverable prevalence in epidemic spreading. Assuming the time-independent connectivity correlations, we analyze the dynamics of spreading on linearly growing scale-free (SF) networks, and derive the extinction condition related to the rates of network growth, infection, and immunization of viruses. The behavior is consistent with the previous results for SF networks by a mean-field approximation without connectivity correlations. In particular, it is suggested that the growing must be stopped to prevent the spreading of infection. This insight helps to understand the spreading phenomena on communication or social networks.