The outbreak pattern of SARS cases in China as revealed by a mathematical model

Ecological Modelling

Volumn 204, Issue 3-4, 2007, Pages 420-426

  Zhang, Zhibin ^a  

^a INSTITUTE OF ZOOLOGY   (China)

Author keywords

Effective reproduction number; Epidemiology; Model; Severe Acute Respiratory Syndrome (SARS)

Indexed keywords

EPIDEMIOLOGY; MATHEMATICAL MODELS; PULMONARY DISEASES; RESPIRATORY SYSTEM; VIRUSES;

EFFECTIVE REPRODUCTION NUMBER; INFECTION RATES; SEVERE ACUTE RESPIRATORY SYNDROME (SARS);

MEDICAL PROBLEMS;

EPIDEMIOLOGY; INFECTIVITY; NUMERICAL MODEL; REPRODUCTION; SEVERE ACUTE RESPIRATORY SYNDROME; VIRUS;

ASIA; CHINA; EURASIA; FAR EAST; GUANGDONG; HONG KONG; SINGAPORE [SOUTHEAST ASIA]; SOUTHEAST ASIA;

SARS CORONAVIRUS;

EID: 34247579785     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2007.01.020     Document Type: Article

References (31)

1. Anderson R.M., and May R.M. Infectious Diseases of Humans: Dynamics and Control (1992), Oxford University Press, Oxford
2. Bailei N.T.T. The Mathematical Theory of Diseases. second ed. (1975), Griffin, London
3. Ball F., and Neal P. A general model for stochastic SIR epidemics with two level of mixing. Math. Biosci. 180 (2002) 73-102
4. Becker N.G. Parametric inference for epidemic models. Math. Biosci. 117 (1993) 239-251
5. Becker N.G. Analysis of Infectious Disease Data (1989), Chapman and Hall, London
6. Becker N.G., and Britton T. Statistical studies of infectious disease incidence. Stat. Soc. Ser. B 61 (1999) 287-292
7. Capasso V., and Serio G. A generalization of the Kermack-McKendrick deterministic epidemic model. Math. Biosci. 42 (1978) 43-61
8. 0 in the models for infectious diseases in the heterogeneous populations. J. Math. Biol. 28 (1990) 65-382
9. Dye C., and Gay N. Modeling the SARS epidemic. Science 300 (2003) 1884-1885
10. Fine P.E.M., and Clarkson J.A. Measles in England and Wales-I: an analysis of factors underlying seasonal patterns. Int. J. Epidemiol. 11 (1982) 5-15
11. Greenhalgh D., Diekmann O., and de Jong M.C.M. Subcritical endemic steady states in mathematical models for animal infectious with incomplete immunity. Math. Biosci. 165 (2000) 1-25
12. Haydon D.T., Woolhouse M.E.J., and Kitching R.P. An analysis of foot and mouth disease epidemics in the UK. IMA J. Math. Appl. Med. Biol. 14 (1997) 1-9
13. Hethcote H.W., and van den Driesssche P. An SIS epidemic model with variable population size and a delay. J. Math. Biol. 54 (1995) 177-194
14. Keepling M.J., Rand D.A., and Morris A.J. Correlation models for childhood epidemics. Proc. R. Soc. Lond. 264 (1997) 1149
15. Kramer I. Accurately simulating the growth in the size of the HIV infected population in AIDS epidemic country: computing the USA HIV infection curve. Math. Comput. Model. 19 (1994) 91-112
16. Krebs C.J. Ecological Methodology. second ed. (1999), Addision-Welsey Education Publishers, Inc.
17. Lipsitch M., et al. Transmission dynamics and control of severe acute respiratory syndrome. Science 300 (2003) 1966-1970
18. Méndez V.M., and Fort J. Dynamical evolution of discrete epidemic models. Physica A: Statist. Mech. Appl. 284 (2000) 309-317
19. Moghadas S.M. Global stability of two-stage epidemic model with generalized non-linear incidence. Math. Comput. Simulat. 60 (2002) 107-118
20. Mollison D. Epidemic Models: Their Structure and Relation to Data (1995), Cambridge University Press, Cambridge
21. Monteriro L.H.A., Chimara H.D.B., and Beilinck J.G.C. Big cities: shelters for contagious diseases. Ecol. Model. 197 (2006) 258-262
22. Monteriro, L.H.A., Sasso, J.B., Beilinck J.G.C., 2006b. Continous and discrete approached to the epidemiology of viral spreading in populations taking into account the delay of incubation time. Ecol. Model., doi:10.1016/j.ecomodel.2006.09.27.
23. O'Neill P.D. A tutorial introduction to Bayesian inference for stochastic epidemic models using Markov Chain Monte Carlo methods. Math. Biosci. 180 (2002) 103-114
24. 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
25. Ruan S., and Wang W. Dynamical behavior of an epidemic model with a nonlinear incidence rate. J. Differential Equat. 188 (2003) 135-163
26. Vogel G. Modelers struggle to grasp epidemic's potential scope. Science 300 (2003) 558-559
27. Wallinga J., Edmunds W.J., and Kretzchmar M. Perspective: human contact patterns and the spread of airborne infection disease. Trends Microbiol. 9 (1999) 372-377
28. Wendi W., and Zhien M. Global dynamics of an epidemic model with time delay. Nonlinear Anal.: Real World Appl. 3 (2002) 365-373
29. Yang H.M. SARS Control Manual (2003), Science Press, Beijing (in Chinese)
30. Yip P. Estimating the initial relative infection rate for a stochastic epidemic model. Theor. Populat. Biol. 36 (1989) 202-213
31. Zhang Z., Pech R., Davis S., Shi D., Wan X., and Zhong W. Extrinsic and intrinsic factors determine the eruptive dynamics of Brandt's voles Microtus brandti in Inner Mongolia, China. Oikos 100 (2003) 299-310