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oai:docta.ucm.es:20.500.14352/149.12024-03-11T15:25:55Zcom_20.500.14352_14col_20.500.14352_15

The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasi-stationary distributions Artalejo Rodríguez, Jesús Manuel Economou, A. López Herrero, María Jesús We study the maximumn umber 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 infectedindividuals 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. 2023-06-15T07:49:03Z 2023-06-15T07:49:03Z 2010-03-15 journal article 0377-0427 10.1016/j.cam.2009.11.003 https://hdl.handle.net/20.500.14352/149.1 http://www.sciencedirect.com/science/article/pii/S0377042709007341 http://www.sciencedirect.com/ eng MTM 2008-01121 restricted access Elsevier Science Bv