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Artalejo, Jesús R. and Economou, A. and LópezHerrero, M.J. (2010) The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasistationary distributions. Journal of Computational and Applied Mathematics, 233 (10). pp. 25632574. ISSN 03770427
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Abstract
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 quasistationary distributions of a related process are also discussed.
Item Type:  Article 

Uncontrolled Keywords:  Stochastic SIS epidemic model; Maximum number of infected individuals; Extinction time; Transient distribution; Quasistationary distribution; Absorption probabilities 
Subjects:  Medical sciences > Biology > Ecology 
ID Code:  15803 
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Deposited On:  02 Jul 2012 11:19 
Last Modified:  06 Feb 2014 10:31 
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The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasistationary distributions. (deposited 09 May 2012 09:20)
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