A Covering-Graph Approach to Epidemics on SIS and SIS-Like Networks

作者：Floyd William^*; Kay Leslie; Shapiro Michael

来源：Bulletin of Mathematical Biology, 2012, 74(1): 175-189.

DOI：10.1007/s11538-011-9684-y

• Social networks
• Epidemics
• Bond percolation
• Covering graph
• SIR model
• SIS model

In this paper, we introduce a new class of epidemics on networks which we call SI(S/I). SI(S/I) networks differ from SIS networks in allowing an infected individual to become reinfected without first passing to the susceptible state. We use a covering-graph construction to compare SIR, SIS, and SI(S/I) networks. Like the SIR networks that cover them, SI(S/I) networks exhibit infection probabilities that are monotone with respect to both transmission probabilities and the initial set of infectives. The same covering-graph construction allows us to characterize the recurrent states in an SIS or SI(S/I) network with reinfection.

• 出版日期2012-1
• 单位Virginia Tech; 美国弗吉尼亚理工大学(Virginia Tech)