Blackmail propagation on small-world networks

✍ Scribed by Zhi-Gang Shao; Jian-Ping Sang; Xian-Wu Zou; Zhi-Jie Tan; Zhun-Zhi Jin

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 357 KB
• Volume: 351
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2004.11.063

✦ Synopsis

The dynamics of the blackmail propagation model based on small-world networks is investigated. It is found that for a given transmitting probability l the dynamical behavior of blackmail propagation transits from linear growth type to logistical growth one with the network randomness p increases. The transition takes place at the critical network randomness p c ¼ 1=N; where N is the total number of nodes in the network. For a given network randomness p the dynamical behavior of blackmail propagation transits from exponential decrease type to logistical growth one with the transmitting probability l increases. The transition occurs at the critical transmitting probability l c ¼ 1=hki; where hki is the average number of the nearest neighbors. The present work will be useful for understanding computer virus epidemics and other spreading phenomena on communication and social networks.