The SEIQS stochastic epidemic model with external source of infection
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 extincti...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | español |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/24552 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/24552 |
| Access Level: | acceso abierto |
| Palabra clave: | 519.217 Computer virus Markov chain Epidemic Quarantine Extinction time Hazard time. Informática (Informática) Software Estadística Probabilidades (Estadística) 1203.17 Informática 3304.16 Diseño Lógico 1209 Estadística 1208 Probabilidad |
| Sumario: | 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. |
|---|