Epidemic model with isolation in multilayer networks
The Susceptible-Infected-Recovered ($SIR$) model has successfully mimicked the propagation of such airborne diseases as influenza A (H1N1). Although the $SIR$ model has recently been studied in a multilayer networks configuration, in almost all the research the isolation of infected individuals is d...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/8221 |
| Acesso em linha: | http://hdl.handle.net/11336/8221 |
| Access Level: | acceso abierto |
| Palavra-chave: | Complex Netorks Multilayer Networks Epidemic Models Percolation https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | The Susceptible-Infected-Recovered ($SIR$) model has successfully mimicked the propagation of such airborne diseases as influenza A (H1N1). Although the $SIR$ model has recently been studied in a multilayer networks configuration, in almost all the research the isolation of infected individuals is disregarded. Hence we focus our study in an epidemic model in a two-layer network, and we use an isolation parameter $w$ to measure the effect of quarantining infected individuals from both layers during an isolation period $t_w$. We call this process the Susceptible-Infected-Isolated-Recovered ($SI_IR$) model. Using the framework of link percolation we find that isolation reduces the critical epidemic threshold of the disease because} the time in which infection can spread is reduced. In this scenario we find that this threshold increases with w and t_w. When the isolation period is maximum there is a critical threshold for $w$ above which the disease never becomes an epidemic. We also find that epidemic models, like $SIR$ overestimate the critical epidemic threshold. We simulate the process and found an excellent agreement with the theoretical results. |
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