TY - JOUR

T1 - Epidemic threshold for the susceptible-infectious-susceptible model on random networks

AU - Parshani, Roni

AU - Carmi, Shai

AU - Havlin, Shlomo

PY - 2010/6/22

Y1 - 2010/6/22

N2 - We derive an analytical expression for the critical infection rate rc of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain rc, we first calculate the probability of reinfection π, defined as the probability of a node to reinfect the node that had earlier infected it. We then derive rc from π using percolation theory. We show that π is governed by two effects: (i) the requirement from an infecting node to recover prior to its reinfection, which depends on the SIS disease spreading parameters, and (ii) the competition between nodes that simultaneously try to reinfect the same ancestor, which depends on the network topology.

AB - We derive an analytical expression for the critical infection rate rc of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain rc, we first calculate the probability of reinfection π, defined as the probability of a node to reinfect the node that had earlier infected it. We then derive rc from π using percolation theory. We show that π is governed by two effects: (i) the requirement from an infecting node to recover prior to its reinfection, which depends on the SIS disease spreading parameters, and (ii) the competition between nodes that simultaneously try to reinfect the same ancestor, which depends on the network topology.

UR - http://www.scopus.com/inward/record.url?scp=77953934901&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.104.258701

DO - 10.1103/PhysRevLett.104.258701

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AN - SCOPUS:77953934901

SN - 0031-9007

VL - 104

JO - Physical Review Letters

JF - Physical Review Letters

IS - 25

M1 - 258701

ER -