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MODELING STRATEGIES FOR CONTROLLING H1N1 OUTBREAKS IN CHINA

JIN ZHANG

Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R. China

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and

YANNI XIAO

Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R. China

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https://doi.org/10.1142/S1793524511001593Cited by:2 (Source: Crossref)

Abstract

There has been a global attack of A/H1N1 virus in 2009, which widely affected the world's normal stability and economic development. Since the emergence of the first diagnosed A/H1N1 influenza infected person in 11 May 2009 in China, very strict policy including quarantine and isolation measures were widely implemented to control the spread of this disease before the vaccine appeared. We propose a compartmental model that mimics the infection process of A/H1N1 under control strategies taken in mainland China. Apart from theoretical analysis, using the statistic data of Shaanxi Province, we estimated the unknown epidemiological parameters of this disease in Shaanxi via least-squares fitting method. The estimated control reproductive number of H1N1 for its first peak was (95% CI: 2.362–2.748) and that for the second peak was (95% CI: 1.765–2.001). Our findings in this paper suggest that neither quarantine nor isolation measures could be relaxed, and the implementation of these interventions can reduce the pandemic outbreak of A/H1N1 pandemic significantly.

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References

R. M. Anderson and R. M. May , Infectious Diseases of Humans ( Oxford University Press , London , 1991 ) . Crossref, Google Scholar
N. Arinaminpathy and A. R. McLean, J. R. Soc. Interface 5, 545 (2005). Crossref, Web of Science, Google Scholar
C. A. Beaucheminet al., J. Theor. Biol. 254(2), 439 (2008). Crossref, Web of Science, Google Scholar
F. Brauer and C. Castillo-Chavez , Mathematical Models in Population Biology and Epidemiology ( Springer , New York , 2000 ) . Google Scholar
R. Casagrandiet al., Math. Biosci. 200, 152 (2006). Crossref, Web of Science, Google Scholar
CDC Chinese Center for disease control and prevention (2009), http://www.chinacdc.cn/n272442/n272530/n273736/n273781/n4624704/n4624712/33907.html . Google Scholar
G. Chowellet al., J. Theor. Biol. 241, 193 (2006). Crossref, Web of Science, Google Scholar
G. Chowellet al., J. R. Soc. Interface 4(12), 155 (2007), DOI: 10.1098/rsif.2006.0161. Crossref, Web of Science, Google Scholar
B. J. Coburn, B. G. Wagner and S. Blower, BMC Medicine 7, 30 (2009), DOI: 10.1186/1741–7015-7–30. Crossref, Web of Science, Google Scholar
V. Colizzaet al., PLoS Med. 4, e13 (2007). Crossref, Web of Science, Google Scholar
O. Diekmann and J. A. P. Heesterbeek , Mathematical Epidemiology of Infectious Disease: Model Building, Analysis and Interpretation ( Wiley , New York , 2000 ) . Google Scholar
N. M. Fergusonet al., Nature 437, 209 (2005). Crossref, Web of Science, Google Scholar
C. Fraseret al., Science 324(5934), 1557 (2009), DOI: 10.1126/science.1176062. Crossref, Web of Science, Google Scholar
R. Ganiet al., Emerg. Infect. Dis. 11, 1355 (2005). Crossref, Web of Science, Google Scholar
A. B. Gumelet al., Proc. Biol. Sci. 271, 2223 (2004). Crossref, Web of Science, Google Scholar
V. Lakshmikantham , S. Leela and A. A. Martynyuk , Stability Analysis of Nonlinear Systems ( Marcel Dekker , New York , 1989 ) . Google Scholar
J. T. Lauet al., Vaccine 28, 4632 (2010). Crossref, Web of Science, Google Scholar
S. Leeet al., J. Theor. Biol. 265, 136 (2010). Crossref, Web of Science, Google Scholar
M. Lipsitchet al., Science 300(5627), 1966 (2003), DOI: 10.1126/science.1086616. Crossref, Web of Science, Google Scholar
I. M. Longini, P. E. Fine and S. B. Thacker, Am. J. Epidemiol. 123, 383 (1986). Crossref, Web of Science, Google Scholar
T. R. Maineset al., Science 325(5939), 484 (2009), DOI: 10.1126/science.1177238. Crossref, Web of Science, Google Scholar
V. J. Munsteret al., Science 325(5939), 481 (2009), DOI: 10.1126/science.1177127. Crossref, Web of Science, Google Scholar
H. Nishiuraet al., J. Epidemiol. Community Health 58, 186 (2004), DOI: 10.1136/jech.2003.014894. Crossref, Web of Science, Google Scholar
NPFPC, National Population and Family Planning Commission of P. R. China (2007), http://www.chinapop.gov.cn/ . Google Scholar
A. M. Presanis et al., The severity of pandemic H1N1 influenza in the United States, April–June 2009, PLoS Currents Influenza 2009 [cited 2009 Oct. 23] . Google Scholar
C. Reedet al., Emerg. Infect. Dis. 15(12), (2009), DOI: 10.3201/eid1512.091413. Google Scholar
SBH the Shaanxi Bureau of Health (2009), http://www.sxhealth.gov.cn/tjsj.asp . Google Scholar
S. Tanget al., PLoS ONE 5(6), e10911 (2010), DOI: 10.1371/Journal.pone.0010911. Crossref, Web of Science, Google Scholar
A. R. Tuiteet al., CMAJ 182(2), 131 (2010). Crossref, Web of Science, Google Scholar
S. D. Valleet al., Math. Biosci. 195, 228 (2005). Crossref, Web of Science, Google Scholar
P. Van den Driessche and J. Watmough, Math. Biosci. 180, 29 (2002). Crossref, Web of Science, Google Scholar
WHO 2009, http://www.who.int/csr/disease/swineflu/en . Google Scholar
X.-Q. Zhao , Dynamical Systems in Population Biology ( Springer-Verlag , New York , 2003 ) . Crossref, Google Scholar