✦ LIBER ✦
The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasi-stationary distributions
✍ Scribed by J.R. Artalejo; A. Economou; M.J. Lopez-Herrero
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 856 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
a b s t r a c t
We study the maximum number of infected individuals observed during an epidemic for a Susceptible-Infected-Susceptible (SIS) model which corresponds to a birth-death process with an absorbing state. We develop computational schemes for the corresponding distributions in a transient regime and till absorption. Moreover, we study the distribution of the current number of infected individuals given that the maximum number during the epidemic has not exceeded a given threshold. In this sense, some quasi-stationary distributions of a related process are also discussed.