Citation: Eunha Shim. Optimal strategies of social distancing and vaccination against seasonal influenza[J]. Mathematical Biosciences and Engineering, 2013, 10(5&6): 1615-1634. doi: 10.3934/mbe.2013.10.1615
[1] | Oxford University Press, Oxford, 1991. |
[2] | Optimal Control Application Methods, 21 (2000), 269-285. |
[3] | Bull World Health Organization, 90 (2012), 264-271. |
[4] | $2^{nd}$ edition, Texts in Applied Mathematics, 40, Springer, New York, 2012. |
[5] | Am. J. Epidemiol, 162 (2005), 1-8. |
[6] | Value Health, 14 (2011), 800-811. |
[7] | PLoS One, 4 (2009), e8164. |
[8] | Wiley Series in Mathematical and Computational Biology, John Wiley & Sons, Ltd., Chichester, 2000. |
[9] | BMC Infect. Dis., 7 (2007). |
[10] | Applications of Mathematics, No. 1, Springer-Verlag, Berlin-New York, 1975. |
[11] | Proc. Natl. Acad. Sci. USA, 104 (2007), 5692-5697. |
[12] | Hum. Vaccin. Immunother., 8 (2012), 21-28. |
[13] | Emerg. Infect. Dis., 12 (2006), 1671-1681. |
[14] | Math. Biosci., 235 (2012), 1-7. |
[15] | PLoS One, 5 (2010), e12777. |
[16] | Math. Biosci. Eng., 8 (2011), 183-197. |
[17] | JAMA, 272 (1994), 1661-1665. |
[18] | Ann. Intern. Med., 123 (1995), 518-527. |
[19] | PLoS One, 6 (2011), e22087. |
[20] | Med. J. Aust., 185 (2006), S35-8. |
[21] | Br. Med. Bull., 92 (2009), 33-42. |
[22] | J. R. Soc. Interface, 8 (2011), 661-670. |
[23] | BMC Public Health, 9 (2009). |
[24] | J. Theor. Biol., 265 (2010), 136-150. |
[25] | Bull. Math. Biol., 74 (2012), 958-980. |
[26] | Math. Biosci. Eng., 8 (2011), 171-182. |
[27] | BMC Med., 7 (2009). |
[28] | Chapman & Hall/CRC Mathematical and Computational Biology Series, Chapman & Hall/CRC, Boca Raton, FL, 2007. |
[29] | BMC Infect. Dis., 10 (2010). |
[30] | Am. J. Epidemiol., 161 (2005), 303-306. |
[31] | Int. J. Infect. Dis., 8 (2004), 227-235. |
[32] | Science, 325 (2009), 1705-1708. |
[33] | BMC Public Health, 11 (2011), S11. |
[34] | PLoS One, 3 (2008), e1839. |
[35] | Vaccine, 25 (2007), 5086-5096. |
[36] | Vaccine, 26 (2008), 3742-3749. |
[37] | Euro. Surveill., 14 (2009), 19227. |
[38] | Interscience Publishers John Wiley & Sons, Inc., New York-London, 1962. |
[39] | Math. Biosci. Eng., 8 (2011), 141-170. |
[40] | BMC Public Health, 11 (2011), S4. |
[41] | Arch. Intern. Med., 165 (2005), 265-272. |
[42] | Acta Biotheor, 59 (2011), 1-28. |
[43] | JAMA, 292 (2004), 1333-1340. |
[44] | JAMA, 289 (2003), 179-186. |
[45] | Math. Biosci., 240 (2012), 241-249. |
[46] | J. R. Soc. Interface, 9 (2012), 304-312. |
[47] | PLoS One, 5 (2010), e10520. |
[48] | Math. Biosci., 180 (2002), 29-48. |
[49] | Am. J. Epidemiol., 160 (2004), 509-516. |
[50] | Am. J. Epidemiol., 164 (2006), 936-944. |
[51] | Vaccine, 23 (2005), 1284-1293. |
[52] | Exp. Biol. Med. (Maywood), 236 (2011), 955-961. |
[53] | Math. Biosci., 211 (2008), 166-185. |
[54] | Available from: http://www.census.gov/population/international/data/idb/region.php. |
[55] | (2009). Available from: http://www.cdc.gov/h1n1flu/vaccination/pdf/A-Wortley-H1N1-sample-clinic.pdf. |
[56] | MMWR Recomm. Rep., 58(RR-10) (2009), 1-8. |
[57] | MMWR Recomm. Rep., 47(RR-15) (1998), 1-14. |