Spreading Dynamics of a Viral Infection in a Complex Network
Autor: | Khemanand Moheeput, Goorah, Smita S. D., Ramchurn, Satish K. |
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Jazyk: | angličtina |
Rok vydání: | 2013 |
Předmět: | |
DOI: | 10.5281/zenodo.1087025 |
Popis: | We report a computational study of the spreading dynamics of a viral infection in a complex (scale-free) network. The final epidemic size distribution (FESD) was found to be unimodal or bimodal depending on the value of the basic reproductive number R0 . The FESDs occurred on time-scales long enough for intermediate-time epidemic size distributions (IESDs) to be important for control measures. The usefulness of R0 for deciding on the timeliness and intensity of control measures was found to be limited by the multimodal nature of the IESDs and by its inability to inform on the speed at which the infection spreads through the population. A reduction of the transmission probability at the hubs of the scale-free network decreased the occurrence of the larger-sized epidemic events of the multimodal distributions. For effective epidemic control, an early reduction in transmission at the index cell and its neighbors was essential. {"references":["","V. Colizza, M. Barthélemy, A. Barrat and A. Vespignani, \"Epidemic\nmodeling in complex realities,\" C. R. Biologies vol. 330, pp 364–374,\n2007.","A-L. Barabási, R. Albert and H. Jeong, \"Mean-field theory for scale-free\nrandom networks,\" Physica A vol. 272, pp 173-87, 1999.","S. K. Ramchurn,, K. Moheeput and S. S. Goorah, \"An analysis of a\nshort-lived outbreak of dengue fever in Mauritius,\" Euro. Surveill. vol.\n14, pii = 19314, 2009.","Y. Wanga, G. Xiao, J. Hua, T. H. Chenga and L. Wang, \"Imperfect\ntargeted immunization in scale-free networks,\" Physica A vol. 388, pp.\n2535-2546, 2009.","L. Danon, A. P. Ford, T. House, C. P. Jewell, M. J. Keeling, G. O.\nRoberts, J. V. Ross and M. C. Vernon, \"Networks and the epidemiology\nof infectious disease,\" Interdiscip. Perspect. Infect. Dis. 284909 2011.","A. Chang, M. Parrales, J. Jimenez, M. Sobieszczyk, S. Hammer, D. J.\nCopenhaver and R. P. Kulkarni, \"Combining Google Earth and GIS\nmapping technologies in a dengue surveillance system for developing\ncountries,\" Int. J. Health Geogr. vol. 8, 49 2009.","R. Kamadjeu, \"Tracking the polio virus down the Congo River: A case\nstudy on the use of Google Earth in public health planning and\nmapping,\" Int. J. Health Geogr. vol 8, 4 2009.","S. Lozano-Fuentes, D. Elizondo-Quiroga, J. Farfan-Ale, M. Lorono-\nPino, J. Garcia- Rejon, S. Gomez-Carro, et al., \"Use of Google Earth to\nstrengthen public health capacity and facilitate management of vectorborne\ndiseases in resource-poor environments.,\" Bull. WHO vol. 86, pp.\n718–725, 2008.","Z. Dezsı, and A-L Barabási, \"Halting viruses in scale-free networks,\"\nPhys. Rev. E vol. 65, 055103(R) 2002.\n[10] R. Pastor-Satorras and A. Vespignani, \"Immunization of complex\nnetworks,\" Phys. Rev. E vol. 65, 036104 2002.\n[11] F. Nian and X. Wang, \"Efficient immunization strategies on complex\nnetworks,\" J. Theor. Biol. vol. 264, pp. 77–83 2010.\n[12] H. Zhang, J. Zhang, C. Zhou, M. Small and B. Wang, \"Hub nodes\ninhibit the outbreak of epidemic under voluntary vaccination.,\" New J.\nPhys. vol. 12, 023015 2010."]} |
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