Epidemic outbreaks on structured populations

Journal of Theoretical Biology

Volumn 245, Issue 1, 2007, Pages 125-129

  Vazquez, Alexei ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Community structure; Epidemic outbreaks; Infectious diseases; Metapopulation

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; COMMUNITY STRUCTURE; DISEASE SPREAD; EPIDEMIC; INFECTIOUS DISEASE; METAPOPULATION; POPULATION MODELING; POPULATION STRUCTURE;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; COMMUNITY ASSESSMENT; EMPIRICAL RESEARCH; EPIDEMIC; EXPERIMENTAL MODEL; METAPOPULATION; POPULATION MODEL; POPULATION SIZE; POPULATION STRUCTURE; PREDICTION; PRIORITY JOURNAL; PROBABILITY; THEORETICAL MODEL;

ACQUIRED IMMUNODEFICIENCY SYNDROME; COMMUNICABLE DISEASE CONTROL; COMMUNICABLE DISEASES; DISEASE OUTBREAKS; DISEASE TRANSMISSION, HORIZONTAL; HUMANS; INCIDENCE; MATHEMATICS; MODELS, BIOLOGICAL; POPULATION DYNAMICS; UNITED STATES;

EID: 33846799101     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.09.018     Document Type: Article

References (18)

1. Anderson R.M., and May R.M. Infectious Diseases of Humans (1991), Oxford University Press, New York
2. Anderson R.M., et al. Epidemiology, transmission dynamics and control of sars: the 2002-2003 epidemic. Philos. Trans. R. Soc. London, Ser. B 359 (2004) 1091-1105
3. Barthélemy M., Barrat A., Pastor-Satorras R., and Vespignani A. Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. Phys. Rev. Lett. 92 (2004) 178701-178704
4. Barthélemy M., Barrat A., Pastor-Satorras R., and Vespignani A. Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. J. Theor. Biol. 235 (2005) 275-278
5. Colizza V., Barrat A., Barthelemy M., and Vespignani A. The role of the airline network in the prediction and predictability of global epidemics. Proc. Natl Acad. Sci. USA 103 (2006) 2015-2020
6. Eubank S., Guclu H., Kumar V.S.A., Marathe M., Srinivasan A., Toroczcai Z., and Wang N. Modelling disease outbreaks in realistic urban social networks. Nature 429 (2004) 180-184
7. Flahault A., Letrait S., Blin P., Hazout S., Menares J., and Valleron A.J. Modelling the 1985 influenza epidemic in France. Stat. Med. 7 (1988) 1147-1155
8. Germann T.C., Kadau K., Longini I.M., and Macken C.A. Mitigation strategies for pandemic influenza in the united states. Proc. Natl Acad. Sci. USA 103 (2006) 5935-5940
9. Hufnagel, L., Brockmann, D., Geisel, T., 2004. Forecasts and control of epidemics in a globalized world. Proc. Natl Acad. Sci. USA 101, 15124-15129.
10. Mode C.J. Multitype Branching Processes (1971), Elsevier, New York
11. Riley S., et al. Transmission dynamics of the etiological agent of sars in Hong Kong: impact of public health interventions. Science 300 (2003) 1961-1966
12. Rvachev L.A., and Longini I.M. A mathematical model for the global spread of influenza. Math. Biosci. 75 (1985) 3-22
13. Sattenspiel L., and Dietz K. A structured epidemic model incorporating geographic mobility among agents. Math. Biosci. 128 (1995) 71-91
14. Vazquez A. Causal tree of disease transmission and the spreading of infectious diseases. Discrete Methods in Epidemiology, DIMACS Series in Discrete Mathematics and Theoretical Computer Science vol. 70 (2006), AMS, Providence, RI 163-179
15. Vazquez A. Polynomial growth in age-dependent branching processes with diverging reproductive number. Phys. Rev. Lett. 96 (2006) 038702
16. Vazquez, A., 2006c. Spreading dynamics on small-world networks with connectivity fluctuations and correlations. Phys. Rev. E (In press). 〈http://arxiv.org/q-bio.PE/0603010〉.
17. Vazquez, A., 2006d. Spreading of infectious diseases on heterogeneous populations: multi-type network approach. 〈http://arxiv.org/q-bio.PE/0605001〉.
18. Watts D., Muhamad R., Medina D.C., and Dodds P.S. Multiscale, resurgent epidemics in a hierarchical metapopulation model. Proc. Natl Acad. Sci. USA 102 (2005) 11157-11162