| Autor: |
Parshani, Roni, Carmi, Shai, Havlin, Shlomo |
| Rok vydání: |
2009 |
| Předmět: |
|
| Zdroj: |
Phys. Rev. Lett. 104, 258701 (2010) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevLett.104.258701 |
| Popis: |
We derive an analytical expression for the critical infection rate r_c of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain r_c, we first calculate the probability of reinfection, pi, defined as the probability of a node to reinfect the node that had earlier infected it. We then derive r_c from pi using percolation theory. We show that pi is governed by two effects: (i) The requirement from an infecting node to recover prior to its reinfection, which depends on the disease spreading parameters; and (ii) The competition between nodes that simultaneously try to reinfect the same ancestor, which depends on the network topology. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
