The SEIQS stochastic epidemic model with external source of infection
| Autor: | Julia Amador |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Hazard (logic)
Informática Exponential distribution Extinction Markov chain Laplace transform Applied Mathematics Probabilidades 020206 networking & telecommunications 02 engineering and technology Estadística 01 natural sciences 010305 fluids & plasmas Modeling and Simulation 0103 physical sciences Statistics 0202 electrical engineering electronic engineering information engineering Applied mathematics Quantitative Biology::Populations and Evolution Marginal distribution Epidemic model Random variable Software Mathematics |
| Zdroj: | E-Prints Complutense. Archivo Institucional de la UCM instname E-Prints Complutense: Archivo Institucional de la UCM Universidad Complutense de Madrid |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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