%0 Journal Article
%A Artalejo, Jesús R.
%A Economou, A.
%A Lopez-Herrero, M.J.
%T The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasi-stationary distributions
%D 2010
%@ 0377-0427
%U https://hdl.handle.net/20.500.14352/149
%X 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.
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