Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641370 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.R. Artalejo, A. Economou, M.J. Lopez-Herrero,