Blackmail propagation on small-world networks

Zhi-Gang Shao, Jian-Ping Sang,, Xian-Wu Zou, Zhi-Jie Tan and Zhun-Zhi Jin

Physica A: Statistical Mechanics and its Applications, 2005, vol. 351, issue 2, 662-670

Abstract: The dynamics of the blackmail propagation model based on small-world networks is investigated. It is found that for a given transmitting probability λ 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 pc=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 λ increases. The transition occurs at the critical transmitting probability λc=1/〈k〉, where 〈k〉 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.

Keywords: Small world; Dynamical behavior; Critical behavior; Blackmail propagation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:351:y:2005:i:2:p:662-670

DOI: 10.1016/j.physa.2004.11.063

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