Critical Scaling for the Simple SIS Stochastic Epidemic
| dc.creator | Lalley, R. G. Dolgoarshinnykh Steven P. | |
| dc.date | 2005-12-12 | |
| dc.date.accessioned | 2026-07-07T06:55:06Z | |
| dc.date.available | 2026-07-07T06:55:06Z | |
| dc.description | We exhibit a scaling law for the critical SIS stochastic epidemic: If at time 0 the population consists of square root N infected and N - square root N susceptible individuals, then when time and number currently infected are both scaled by square root N, the resulting process converges, for large N, to a diffusion process related to the Feller diffusion by a change of drift. As a consequence, the rescaled size of the epidemic has a limit law that coincides with that of a first-passage time for the standard Ornstein- Uhlenbeck process. These results are the analogues for the SIS epidemic of results of Martin-Lof for the simple SIR epidemic. | |
| dc.identifier | https://arxiv.org/abs/math/0512252 | |
| dc.identifier | http://arxiv.org/abs/math/0512252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106175 | |
| dc.subject | Probability | |
| dc.subject | 60K30 | |
| dc.title | Critical Scaling for the Simple SIS Stochastic Epidemic | |
| dc.type | text |