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



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Computer virus; Markov chain; Epidemic; Quarantine; Extinction time; Hazard time.
Materias:Ciencias > Informática
Ciencias > Informática > Software
Ciencias > Estadística
Ciencias > Estadística > Probabilidades
Código ID:38306
Depositado:05 Jul 2016 07:26
Última Modificación:05 Jul 2016 07:46

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