Study of the effect of vaccination on periodic structures of measles epidemics in Japan

Microbiology and Immunology

Volumn 51, Issue 9, 2007, Pages 805-814

  Sumi, Ayako ^a   Kamo, Ken Ichi ^a   Ohtomo, Norio ^b   Kobayashi, Nobumichi ^a  

^a SAPPORO MEDICAL UNIVERSITY SCHOOL OF MEDICINE   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Interepidemic period; Measles; Spectral analysis; Vaccination

Indexed keywords

MEASLES VACCINE;

ARTICLE; EPIDEMIC; HUMAN; INCIDENCE; JAPAN; MATHEMATICAL MODEL; MEASLES; MEASLES VACCINATION; QUANTITATIVE ANALYSIS;

EID: 34548813859     PISSN: 03855600     EISSN: 13480421     Source Type: Journal    
DOI: 10.1111/j.1348-0421.2007.tb03976.x     Document Type: Article

References (45)

1. Anderson, R.M., and Grenfell, B.T. 1984. Oscillatory fluctuation in the incidence of infectious disease and the impact of vaccination: time series analysis. J. Hyg. Camb. 93: 587-608.
2. Anderson, R.M., and May, R.M. 1982. Directly transmitted infectious diseases: control by vaccination. Science 215: 1053-1060.
3. Anderson, R.M., and May, R.M. 1983. Vaccination against rubella and measles: quantitative investigations of difference policies. J. Hyg. Camb. 90: 259-325.
4. Anderson, R.M., and May, R.M. 1985. Vaccination and herd immunity to infectious diseases. Nature 318: 323-329.
5. Anderson, R.M., and May, R.M. 1991. Infectious diseases of humans: dynamics and control, Oxford University Press, London.
6. Becker, N.G. 1989. Analysis of infectious disease data. Chapman & Hall/CRC, Florida.
7. Black, F.L. 1997. Measles, p. 507-529. In Evans, A.L., and Kaslow, R.A. (eds), Viral infections of humans: epidemiology and control, 4th ed, Plenum Medical Book Co., New York.
8. Cliff, A., Haggett, P., and Smallman-Raynor, M. 1993. Measles: a historical geography of a major human viral disease from global expansion to local retreat, 1840-1992. Blackwell, Oxford.
9. Cliff, A., Haggett, P., and Smallman-Raynor, M. 1998. Deciphering global epidemics: analytical approaches to the disease records of world cities, 1888-1912. Cambridge University Press, Cambridge.
10. Grenfell, B.T., and Anderson, R.M. 1985. The estimation of age-related of infection from case notifications and serological data. J. Hyg. Camb. 95: 419-436.
11. Grenfell, B.T., Bjornstad, O.N., and Kappey, J. 2001. Travelling waves and spatial hierarchies in measles epidemics. Nature 414: 716-723.
12. Infectious Diseases Surveillance Center's web site (http:// idsc.nih.go.jp/yosoku/index.html).
13. Infectious Diseases Surveillance Center's web site (http:// idsc.nih.go.jp/idwr/ydata/index-j.html).
14. Infectious Diseases Surveillance Center's web site (http:// idsc.nih.go.jp/disease/measles/report2002/measles_top.html).
15. Isomura, S., Kakuta, K., and Miyatsu, M. 2000. Yobou seshyu no koukateki na jishihoushiki ni-kansurukenkyu, p. 345-354. In Synthetic studies on effective practice and untoward reaction of immunization, Ministry of Health, Labour and Welfare (in Japanese).
16. Isomura, S., Kakuta, K., and Miyatsu, M. 1999. Yobou seshyu no koukateki na jishihoushiki ni-kansurukenkyu, p. 344-353. In Synthetic studies on effective practice and untoward reaction of immunization, Ministry of Health, Labour and Welfare (in Japanese).
17. Isomura, S., and Kakuta, K. 1998. Yobou seshyu no koukateki na jishihoushiki ni-kansurukenkyu, p. 311-321. In Synthetic studies on effective practice and untoward reaction of immunization, Ministry of Health, Labour and Welfare (in Japanese).
18. Isomura, S., Kakuta, K., and Miyatsu, M. 1997. Yobou seshyu no koukateki na jishihoushiki ni-kansurukenkyu, p. 299-310. In Synthetic studies on effective practice and untoward reaction of immunization, Ministry of Health, Labour and Welfare (in Japanese).
19. Isomura, S., and Kakuta, K. 1996. Yobou seshyu no koukateki na jishihoushiki ni kansuru kenkyu, p. 339-348. In Synthetic studies on effective practice and untoward reaction of immunization, Ministry of Health, Labour and Welfare Yobou Seshyu Kenkyu-han, Yobou Seshyu Research Center (in Japanese).
20. Isomura, S., and Kakuta, K. 1994. Yobou seshyu no koukateki na jishihoushiki ni kansuru kenkyu, p. 7-19. In Follow-up studies on effectiveness and untoward reaction of immunization and studies on socio-economical effect of immunization, Ministry of Health, Labour and Welfare (in Japanese).
21. Isomura, S., and Kakuta, K. 1993. Yobou seshyu no koukateki na jishihoushiki ni kansuru kenkyu, p. 17. In Follow-up studies on effectiveness and untoward reaction of immunization and studies on socio-economical effect of immunization, Ministry of Health, Labour and Welfare (in Japanese).
22. Isomura, S., and Kakuta, K. 1992. Yobou seshyu no koukateki na jishihoushiki ni kansuru kenkyu, p. 26. In Follow-up studies on effectiveness and untoward reaction of immunization and studies on socio-economical effect of immunization, Ministry of Health, Labour and Welfare (in Japanese).
23. Kakehashi, M. 1990. An analysis of the effect of measles vaccination program by a mathematical model. Jpn. J. Public Health 37: 481-490 (in Japanese).
24. Nakatani, H., Sano, T., and Iuchi, T. 2002. Development of vaccination policy in Japan: current issues and policy directions. Jpn. J. Infect. Dis. 55: 101-111.
25. National Institute of Infectious Diseases. 1999-2004. Infectious Diseases Weekly Report.
26. National Institute of Infectious Diseases. 2006. Measles and rubella in Japan, as of March 2006. Infect. Agents Surveill. Rep. 27: 85'-86'.
27. Ohtomo, N., and Tanaka, Y. 1994. New method of time series analysis and "MemCalc," p. 11-29. In Saito, K., Koyama, A., Yoneyama, K., Sawada, Y., and Ohtomo, N. (eds), A recent advance in time series analysis by maximum entropy method, applications to medical and biological sciences, Hokkaido University Press, Sapporo.
28. Ohtomo, N., Terachi, S., Tanaka, Y., Tokiwano, K., and Kaneko, N. 1994. New method of time series analysis and its applications to Wolf's sunspot number data. Jpn. J. Appl. Phys. 33: 2821-2831.
29. Ohtomo, N., Kamo, T., Watanabe, M., Yoneyama, K., Tanaka, Y., and Hayashi, R. 1996. Power spectral densities of temporal variations of blood pressures. Jpn. J. Appl. Phys. 35: 5571-5582.
30. Ohtomo, N., Sumi, A., Tanaka, Y., Tokiwano, K., and Terachi, S. 1996. A detailed study of power spectral density for Rossler system. J. Phys. Soc. Jpn. 65: 2811-2823.
31. Okabe, N. 2006. Genzai-no-mashin·fushin-no-ekigaku. Clin. Virol. 34: S9 (in Japanese).
32. Olsen, L.F., and Schaffer, W.M. 1990. Chaos versus noisy periodicity: Alternative hypotheses for childhood epidemics. Science 249: 499-504.
33. Pickover, C.A. 1990. Computers, pattern, chaos and beauty, St. Martin's Press, Inc., New York.
34. Seber, G.A.F., and Wild, C.J. 1989. Nonlinear regression (Wiley Series in Probability and Statistics), John Wiley & Sons, Inc., New York.
35. Statistics and Information Department, Minister's Secretariat, Ministry of Health and Welfare in Japan. 1968-1999. Statistics of communicable diseases (in Japanese).
36. Seido, T., and Ohtomo, N. 1985. Maximum entropy spectral analysis of time-series data from combustion MHD plasma. Jpn. J. Appl. Phys. 24: 1204-1211.
37. Seido, T., and Ohtomo, N. 1986. Maximum entropy spectral analysis of time-series from combustion MHD plasma. II: The effect of an externally-applied magnetic field on the plasma turbulent flow. Jpn. J. Appl. Phys. 25: 248-252.
38. Sumi, A. 1998. Time series analysis of surveillance data of infectious diseases in Japan. Hokkaido J. Med. Sci. 73: 343-363.
39. Sumi, A., Ohtomo, N., Tanaka, Y., Koyama, A., and Saito, K. 1997. Comprehensive spectral analysis of time series analysis of time series data of recurrent epidemics. Jpn. J. Appl. Phys. 36: 1303-1318.
40. Sumi, A., Ohtomo, N., and Tanaka, Y. 1997. Study on chaotic characteristics of incidence data of measles. Jpn. J. Appl. Phys. 36: 7460-7472.
41. Sumi, A., Ohtomo, N., Tanaka, Y., Sawamura, S., Olsen, L.F., and Kobayashi, N. 2003. Prediction analysis for measles epidemics. Jpn. J. Appl. Phys. 42: 7611-7620.
42. Sumi, A., Olsen, L.F., Ohtomo, N., Tanaka, Y., and Sawamura, S. 2003. Spectral study of measles epidemics: the dependence of spectral gradient on the population size of the community. Jpn. J. Appl. Phys. 42: 721-733.
43. Tokiwano, K., Ohtomo, N., and Tanaka, Y. 2002. Saidai entropy-ho ni-yoru jikeiretsu kaiseki: MemCalc no riron to jissai, Hokkaido University Press, Sapporo (in Japanese).
44. Tuberculosis and Infectious Diseases Control Division, Health Bureau, Ministry of Health, Labour and Welfare and Infectious Diseases Surveillance Center of the National Institute of Infectious Diseases. 1991, 1992, 1993, 1994, 1995, 1996. Annual Report 1989, 1990, 1991, 1992, 1993, 1994 National Epidemiological Surveillance of Vaccine Preventable Diseases (in Japanese).
45. Yamada, M. 1993. Wavelet henkan no kiso. Systems, Control and Information 37, 383-394 (in Japanese).