Study on chaotic characteristics of incidence data of measles

Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers

Volumn 36, Issue 12 A, 1997, Pages 7460-7472

  Sumi, Ayako ^a   Ohtomo, Norio ^b   Tanaka, Yukio ^c  

^a HOKKAIDO UNIVERSITY   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

^c Suwa Trust Co Ltd   (Japan)

Author keywords

Chaos; Exponential spectrum; Maximum entropy method (MEM); Measles; Noise; SEIR epidemic model; Three dimensional (3D) spectral array; Time series analysis

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; SPECTRUM ANALYSIS; THREE DIMENSIONAL;

INCIDENCE DATA; MAXIMUM ENTROPY METHOD; MEASLES; POWER SPECTRAL DENSITIES;

TIME SERIES ANALYSIS;

EID: 0031340054     PISSN: 00214922     EISSN: None     Source Type: Journal    
DOI: 10.1143/jjap.36.7460     Document Type: Article

References (27)

1. A. Sumi, N. Ohtomo, Y. Tanaka, A. Koyama and K. Saito: Jpn. J. Appl. Phys. 36 (1997) 1303.
2. A. Sumi, N. Ohtomo, Y. Tanaka, A. Koyama and K. Saito: Seitai Jikeiretsu De-ta Kaiseki no Shintenkai (A New Development of Time Series Analysis in Medical and Biological Sciences), eds. S. Hosoda, H. Kasanuki and N. Ohtomo (Hokkaido University Press, Sapporo, 1996) p. 97 [in Japanese].
3. N. Ohtomo, A. Sumi, Y. Tanaka, K. Tokiwano and S. Terachi: J. Phys. Soc. Jpn. 65 (1996) 2811.
4. N. Ohtomo, K. Tokiwano, Y. Tanaka, A. Sumi, S. Terachi and H. Konno: J. Phys. Soc. Jpn. 64 (1995) 1104.
5. Annual Supplements to Morbidity and Mortality Weekly Reports, Center for Disease Control (1943-1963), U.S.
6. W. M. Schaffer, L. F. Olsen, G. L. Truty and S. L. Fulmer: The Ubiquity of Chaos, ed. S. Kranse (AAAS, Washington D.C., 1990) p. 139.
7. L. F. Olsen and W. M. Schaffer: Science 249 (1990) 499.
8. R. M. Anderson and R. M. May: Science 215 (1982) 1053.
9. W. P. London and J. A. Yorke: Am. J. Epidemiol. 98 (1973) 453.
10. I. B. Schwartz: J. Math. Biol. 21 (1985) 347.
11. I. B. Schwartz and H. L. Smith: J. Math. Biol. 18 (1983) 233.
12. J. L. Aron and I. B. Schwartz: J. Theor. Biol. 110 (1984) 665.
13. A. Sumi, N. Ohtomo and Y. Tanaka: A Recent Advance in Time Series Analysis by Maximum Entropy Method - Applications to Medical and Biological Sciences -, eds. K. Saito, A. Koyama, K. Yoneyama, Y. Sawada and N. Ohtomo (Hokkaido University Press, Sapporo, 1994) p. 113.
14. K. Dietz: Lect. Notes Biomath. 11 (1976) 1.
15. L. F. Olsen, C. G. Steinmetz, C. W. Tidd and W. M. Schaffer: Complexity, and Biological Evolution, eds. E. Mosekilde and L. Mosekilde (Plenum Press, New York, 1991) p. 359.
16. G. Sugihara and R. M. May: Nature 344 (1990) 734.
17. C. W. Tidd, L. F. Olsen and W. M. Schaffer: Proc. R. Soc. Lond. B 254 (1993) 257.
18. R. M. May: The New Scientist Guide to Chaos, ed. Nina Hall (IPC Magazines New Scientist, London, 1991) p. 82.
19. A Recent Advance in Time Series Analysis by Maximum Entropy Method - Applications to Medical and Biological Sciences -, eds. K. Saito, A. Koyama, K. Yoneyama, Y. Sawada and N. Ohtomo (Hokkaido University Press, Sapporo, 1994).
20. Seitai Jikeiretsu De-ta Kaiseki no Shintenkai (A New Development of Time Series Analysis in Medical and Biological Sciences), eds. S. Hosoda, H. Kasanuki and N. Ohtomo (Hokkaido University Press, Sapporo, 1996) [in Japanese].
21. N. Ohtomo, S. Terachi, Y. Tanaka, K. Tokiwano and N. Kaneko: Jpn. J. Appl. Phys. 33 (1994) 2821.
22. S. Terachi, N. Ohtomo, Y. Tanaka, K. Tokiwano and N Kaneko: Jpn. J. Appl. Phys. 36 (1997) 957.
23. N. Ohtomo, T. Kamo, M. Watanabe, K. Yoneyama, Y. Tanaka and R. Hayashi: Jpn. J. Appl. Phys. 35 (1996) 5571.
24. Densenbyo Tokei (Statistics on Communicable Disease), Statistics and Information Department, Minister's Secretariat, Ministry of Health and Welfare in Japan (1967, 1993) [in Japanese].
25. G. M. Zaslavsky: Chaos in Dynamic Systems (Harwood Academic Publishers, London, 1985).
26. J. A. Yorke and W. P. London: Am. J. Epidemiol. 98 (1973) 469.
27. J. A. Yorke, N. Nathanson, G. Pianigiani and J. Martin: Am. J. Epidemiol. 109 (1979) 103.