Super-spreaders and the rate of transmission of the SARS virus

Physica D: Nonlinear Phenomena

Volumn 215, Issue 2, 2006, Pages 146-158

  Small, Michael ^a   Tse, C K ^a   Walker, David M ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b BIOMATHEMATICS AND STATISTICS SCOTLAND   (United Kingdom)

Author keywords

Severe Acute Respiratory Syndrome (SARS); Small world network; Super spreader event; Transmission dynamics

Indexed keywords

COMPUTER SIMULATION; DISEASES; HOSPITALS; MATHEMATICAL MODELS; STOCHASTIC CONTROL SYSTEMS; VIRUSES;

SEVERE ACUTE RESPIRATORY SYNDROME (SARS); SMALL WORLD NETWORKS; SUPER-SPREADER EVENT; TRANSMISSION DYNAMICS;

EPIDEMIOLOGY;

EID: 33645766058     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.01.021     Document Type: Article

References (25)

1. Moira C.-Y., and Xu R.-H. SARS: epidemiology. Respirology 8 (2003) S9-S14
2. World Health Organisation, Consensus document on the epidemiology of SARS, Technical Report, World Health Organisation, 17 October 2003. http://www.who.int/csr/sars/en/WHOconsensus.pdf
3. Severe Acute Respiratory Syndrome Expert Committee, Report of the severe acute respiratory syndrome expert committee. Technical Report, Hong Kong Department of Health, 2 October 2003. http://www.sars-expertcom.gov.hk/english/reports/report.html
4. 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
5. Wong T.-W., et al. Cluster of SARS among medical students exposed to single patient, Hong Kong. Emerg. Infect. Dis. 10 (2004)
6. Donnelly C.A., et al. Epidemiological determinants of spread of causal agent of severe acute respiratory syndrome in Hong Kong. Lancet 361 7 (2003) 1761-1766. http://image.thelancet.com/extras/03art4453web.pdf
7. Murray J.D. Mathematical Biology. 2nd edition. Biomathematics Texts vol. 19 (1993), Springer
8. Koopman J. Modeling infection transmission. Annu. Rev. Public Health 25 (2004) 303-326
9. Ferguson N.M., and Garnet G.P. More realistic models of sexually transmitted disease transmission dynamics: Sexual partnership networks, pair models and moment closure. Sex. Transm. Dis. 27 (2000) 600-609
10. Bauch C.T. A versatile ODE approximation to a network model for the spread of sexually transmitted diseases. Math. Biol. 45 (2002) 375-395
11. Handcock M.S., and Jones J.H. Likelihood-based inference for stochastic models of sexual network formation. Theor. Popul. Biol. 65 (2004) 413-422
12. Ball F., and Neal P. Poisson approximation for epidemics with two levels of mixing. Ann. Probab. 32 (2004) 1168-1200
13. Hufnagel L., Brockmann D., and Geisel T. Forecast and control of epidemics in a globalized world. Proc. Nat. Acad. Sci. USA 101 (2004) 15124-15129
14. Watts D.J. Six Degrees: The Science of a Connected Age (2003), W.W. Norton & Company
15. Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
16. Small M., and Tse C.K. Small world and scale free model for transmission of SARS. Int. J. Bifurcation Chaos 15 (2005) 1745-1755
17. Galvani A.P., and May R.M. Dimensions of superspreading. Nature 438 (2005) 293-295
18. N.J.A. Sloane, On-line encyclopedia of integer sequences, Online, 2005. http://www.research.att.com/~njas/sequences/Seis.html
19. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases (2000), John Wiley & Son, Chichester
20. Pastor-Satorras R., and Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86 (2001) 3200-3203
21. Pastor-Satorras R., and Vespignani A. Epidemic dynamics and endemic states in complex networks. Phys. Rev. E 63 (2001) 066117
22. O'Neill P.D., and Roberts G.O. Bayesian inference for partially observed stochastic epidemics. J. Roy. Statist. Soc. A 162 Part 1 (1999) 121-129
23. D.M. Walker, F.J. Pérez-Barbería, G. Marion, Stochastic modelling of ecological processes using hybrid Gibbs samplers, Ecol. Model. (2005) (submitted for publication)
24. Lau J.T.F., et al. Probable secondary infections in households of SARS patients in Hong Kong. Emerg. Infect. Dis. 10 (2004)
25. Sattenspeil L., and Herring D.A. Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada. Bull. Math. Biol. 65 (2003)