dorsal/arxiv
View SchemaSpreading of infectious diseases on heterogeneous populations: multi-type network approach
| Authors | Alexei Vazquez |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0605001 |
| URL | https://arxiv.org/abs/q-bio/0605001 |
| DOI | 10.1103/PhysRevE.74.066114 |
| Journal | Phys. Rev. E 74, 066114 (2006) |
Abstract
I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population heterogeneity is taken into account by the agent's subdivision in types and the mixing matrix among them. I introduce a type-network representation for the mixing matrix allowing an intuitive understanding of the mixing patterns and the analytical calculations. Using an iterative approach I obtain recursive equations for the probability distribution of the outbreak size as a function of time. I demonstrate that the expected outbreak size and its progression in time are determined by the largest eigenvalue of the reproductive number matrix and the characteristic distance between agents on the contact-graph. Finally, I discuss the impact of intervention strategies to halt epidemic outbreaks. This work provides both a qualitative understanding and tools to obtain quantitative predictions for the spreading dynamics on heterogeneous populations.
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"abstract": "I study the spreading of infectious diseases on heterogeneous populations. I\nrepresent the population structure by a contact-graph where vertices represent\nagents and edges represent disease transmission channels among them. The\npopulation heterogeneity is taken into account by the agent\u0027s subdivision in\ntypes and the mixing matrix among them. I introduce a type-network\nrepresentation for the mixing matrix allowing an intuitive understanding of the\nmixing patterns and the analytical calculations. Using an iterative approach I\nobtain recursive equations for the probability distribution of the outbreak\nsize as a function of time. I demonstrate that the expected outbreak size and\nits progression in time are determined by the largest eigenvalue of the\nreproductive number matrix and the characteristic distance between agents on\nthe contact-graph. Finally, I discuss the impact of intervention strategies to\nhalt epidemic outbreaks. This work provides both a qualitative understanding\nand tools to obtain quantitative predictions for the spreading dynamics on\nheterogeneous populations.",
"arxiv_id": "q-bio/0605001",
"authors": [
"Alexei Vazquez"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.74.066114",
"journal_ref": "Phys. Rev. E 74, 066114 (2006)",
"title": "Spreading of infectious diseases on heterogeneous populations: multi-type network approach",
"url": "https://arxiv.org/abs/q-bio/0605001"
},
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