dorsal/arxiv
View SchemaEpidemic spreading and immunization with identical infectivity
| Authors | Rui Yang, Jie Ren, Wen-Jie Bai, Tao Zhou, Ming-Feng Zhang, Bing-Hong Wang |
|---|---|
| Categories | |
| ArXiv ID | physics/0611095 |
| URL | https://arxiv.org/abs/physics/0611095 |
Abstract
In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks, the density of the infected nodes shows the existence of threshold, whose value equals 1/A, both demonstrated by analysis and numerical simulation. The infected population grows in an exponential form and follows hierarchical dynamics, indicating that once the highly connected hubs are reached, the infection pervades almost the whole network in a progressive cascade. In addition, the effects of random, proportional, and targeted immunization for this model are investigated. Based on the current model and for heterogenous networks, the targeted strategy performs best, while the random strategy is much more efficient than in the standard SIS model. The present results could be of practical importance in the setup of dynamic control strategies.
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"abstract": "In this paper, a susceptible-infected-susceptible (SIS) model with identical\ninfectivity, where each node is assigned with the same capability of active\ncontacts, $A$, at each time step, is presented. We found that on scale-free\nnetworks, the density of the infected nodes shows the existence of threshold,\nwhose value equals 1/A, both demonstrated by analysis and numerical simulation.\nThe infected population grows in an exponential form and follows hierarchical\ndynamics, indicating that once the highly connected hubs are reached, the\ninfection pervades almost the whole network in a progressive cascade. In\naddition, the effects of random, proportional, and targeted immunization for\nthis model are investigated. Based on the current model and for heterogenous\nnetworks, the targeted strategy performs best, while the random strategy is\nmuch more efficient than in the standard SIS model. The present results could\nbe of practical importance in the setup of dynamic control strategies.",
"arxiv_id": "physics/0611095",
"authors": [
"Rui Yang",
"Jie Ren",
"Wen-Jie Bai",
"Tao Zhou",
"Ming-Feng Zhang",
"Bing-Hong Wang"
],
"categories": [
"physics.soc-ph",
"physics.bio-ph"
],
"title": "Epidemic spreading and immunization with identical infectivity",
"url": "https://arxiv.org/abs/physics/0611095"
},
"schema_id": "dorsal/arxiv",
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