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The SEIQS stochastic epidemic model with external source of infection

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Amador Pacheco, Julia (2016) The SEIQS stochastic epidemic model with external source of infection. Applied mathematical modelling . ISSN 0307-904X

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Official URL: http://dx.doi.org/10.1016/j.apm.2016.04.023



Abstract

This paper deals with a stochastic epidemic model for computer viruses with latent and quarantine periods, and two sources of infection: internal and external. All sojourn times are considered random variables which are assumed to be independent and exponentially distributed. For this model extinction and hazard times are analyzed, giving results for their Laplace transforms and moments. The transient behavior is considered by studying the number of times that computers are susceptible, exposed, infectious and quarantined during a period of time (0, t] and results for their joint and marginal distributions, moments and cross moments are presented. In order to give light this analysis, some numerical examples are showed.


Item Type:Article
Uncontrolled Keywords:Computer virus; Markov chain; Epidemic; Quarantine; Extinction time; Hazard time.
Subjects:Sciences > Computer science
Sciences > Computer science > Software
Sciences > Statistics
Sciences > Statistics > Probabilities
ID Code:38306
Deposited On:05 Jul 2016 07:26
Last Modified:06 May 2018 23:01

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