1. Non-Markovian epidemic spreading on temporal networks
- Author
-
Han, Lilei, Lin, Zhaohua, Yin, Qingqing, Tang, Ming, Guan, Shuguang, and Boguna, Marian
- Subjects
Physics - Physics and Society ,FOS: Physical sciences ,Physics and Society (physics.soc-ph) ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,Condensed Matter - Disordered Systems and Neural Networks - Abstract
Many empirical studies have revealed that the occurrences of contacts associated with human activities are non-Markovian temporal processes with a heavy tailed inter-event time distribution. Besides, there has been increasing empirical evidence that the infection and recovery rates are time-dependent. However, we lack a comprehensive framework to analyze and understand non-Markovian contact and spreading processes on temporal networks. In this paper, we propose a general formalism to study non-Markovian dynamics on non-Markovian temporal networks. We find that, under certain conditions, non-Markovian dynamics on temporal networks are equivalent to Markovian dynamics on static networks. Interestingly, this result is independent of the underlying network topology.
- Published
- 2023
- Full Text
- View/download PDF