메뉴 건너뛰기




Volumn 7, Issue 46, 2010, Pages 727-739

Decreasing stochasticity through enhanced seasonality in measles epidemics

Author keywords

Disease ecology; Epidemiology; Measles; Resonance; Seasonality; Stochasticity

Indexed keywords

POPULATION DYNAMICS; RESONANCE; SPECTRUM ANALYSIS; SPECTRUM ANALYZERS;

EID: 77951675824     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2009.0317     Document Type: Article
Times cited : (17)

References (83)
  • 1
    • 0023972366 scopus 로고
    • Severe measles in Copenhagen, 1915-1925
    • Aaby, P. 1988 Severe measles in Copenhagen, 1915-1925. Rev. Infect. Dis. 10 452-456.
    • (1988) Rev. Infect. Dis. , vol.10 , pp. 452-456
    • Aaby, P.1
  • 2
    • 34249804787 scopus 로고    scopus 로고
    • Stochastic amplification in epidemics
    • doi:10.1098/rsif.2006.0192
    • Alonso, D., McKane, A. J. & Pascual, M. 2007 Stochastic amplification in epidemics. J. R. Soc. Interface 4, 575-582. (doi:10.1098/rsif.2006.0192)
    • (2007) J. R. Soc. Interface , vol.4 , pp. 575-582
    • Alonso, D.1    McKane, A.J.2    Pascual, M.3
  • 3
    • 33645352212 scopus 로고    scopus 로고
    • Seasonality and the dynamics of infectious diseases
    • doi:10.1111/j.1461-0248.2005.00879.x
    • Altizer, S., Dobson, A., Hosseini, P., Hudson, P. J., Pascual, M. & Rohani, P. 2006 Seasonality and the dynamics of infectious diseases. Ecol. Lett. 9 467-484. (doi:10.1111/j.1461-0248.2005.00879.x)
    • (2006) Ecol. Lett. , vol.9 , pp. 467-484
    • Altizer, S.1    Dobson, A.2    Hosseini, P.3    Hudson, P.J.4    Pascual, M.5    Rohani, P.6
  • 4
    • 0002240127 scopus 로고
    • The social implications of demographic change
    • ed. F. M. L. Thompson, Cambridge, UK: Cambridge University Press
    • Anderson, M. 1993 The social implications of demographic change. In The Cambridge social history of Britain vol.2 (ed. F. M. L. Thompson), pp. 1-70. Cambridge, UK: Cambridge University Press.
    • (1993) The Cambridge Social History of Britain , vol.2 , pp. 1-70
    • Anderson, M.1
  • 5
    • 0001216608 scopus 로고
    • Variability in the abundance of animal and plant species
    • doi:10.1038/296245a0
    • Anderson, R. M., Gordon, D. M., Crawley, M. J.&Hassell, M.P. 1982 Variability in the abundance of animal and plant species. Nature 296, 245-248. (doi:10.1038/296245a0)
    • (1982) Nature , vol.296 , pp. 245-248
    • Anderson, R.M.1    Gordon, D.M.2    Crawley, M.J.3    Hassell, M.P.4
  • 6
    • 0021678935 scopus 로고
    • Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: Time series analysis
    • Anderson, R. M., Grenfell, B. T. & May, R. M. 1984 Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: time series analysis. J. Hyg. 93, 587-608.
    • (1984) J. Hyg. , vol.93 , pp. 587-608
    • Anderson, R.M.1    Grenfell, B.T.2    May, R.M.3
  • 8
    • 0003188315 scopus 로고
    • Measles periodicity and community size
    • Bartlett, M. S. 1957 Measles periodicity and community size. J. R. Stat. Soc. 120 48-60.
    • (1957) J. R. Stat. Soc. , vol.120 , pp. 48-60
    • Bartlett, M.S.1
  • 10
    • 0041529714 scopus 로고    scopus 로고
    • Transients and attractors in epidemics
    • doi:10.1098/rspb.2003.2410
    • Bauch, C. T. & Earn, D. J. 2003 Transients and attractors in epidemics. Proc. R. Soc. Lond. B 270, 1573-1578. (doi:10.1098/rspb.2003.2410)
    • (2003) Proc. R. Soc. Lond. B , vol.270 , pp. 1573-1578
    • Bauch, C.T.1    Earn, D.J.2
  • 11
    • 0035958646 scopus 로고    scopus 로고
    • Noisy clockwork: Time series analysis of population fluctuations in animals
    • doi:10.1126/science.1062226
    • Bjornstad, O. N. & Grenfell, B. T. 2001 Noisy clockwork: time series analysis of population fluctuations in animals. Science 293, 638-643. (doi:10.1126/science.1062226)
    • (2001) Science , vol.293 , pp. 638-643
    • Bjornstad, O.N.1    Grenfell, B.T.2
  • 12
    • 0036590892 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: Estimating scaling of transmission rates using a time series SIR model: data fitting I
    • Bjornstad, O. N., Finkenstädt, B. F. & Grenfell, B. T. 2002 Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model: data fitting I. Ecol. Monogr. 72, 169-184.
    • (2002) Ecol. Monogr. , vol.72 , pp. 169-184
    • Bjornstad, O.N.1    Finkenstädt, B.F.2    Grenfell, B.T.3
  • 13
    • 77951676210 scopus 로고
    • A historical, epidemiological and aetiological study of measles (morbilli; rubeola)
    • Brincker, J. A. H. 1938 A historical, epidemiological and aetiological study of measles (morbilli; rubeola). Proc. R. Soc. Med. 31, 807-828.
    • (1938) Proc. R. Soc. Med. , vol.31 , pp. 807-828
    • Brincker, J.A.H.1
  • 15
    • 0242599969 scopus 로고
    • Whooping cough and measles. An epidemiological concurrence and contrast
    • Butler, W. 1947 Whooping cough and measles. An epidemiological concurrence and contrast. Proc. R. Soc. Med. 40, 384-398.
    • (1947) Proc. R. Soc. Med. , vol.40 , pp. 384-398
    • Butler, W.1
  • 16
    • 45849091048 scopus 로고    scopus 로고
    • Likelihood-based estimation of continuous-time epidemic models from time-series data: Application to measles transmission in London
    • doi:10.1098/rsif.2007.1292
    • Cauchemez, S. & Ferguson, N. M. 2008 Likelihood-based estimation of continuous-time epidemic models from time-series data: application to measles transmission in London. J. R. Soc. Interface 5, 885-897. (doi:10.1098/rsif.2007. 1292)
    • (2008) J. R. Soc. Interface , vol.5 , pp. 885-897
    • Cauchemez, S.1    Ferguson, N.M.2
  • 18
    • 2442452774 scopus 로고
    • Measles in Providence, R. I., 1858-1923
    • Chapin, C. V. 1926 Measles in Providence, R. I., 1858-1923. Am. J. Hyg. 5, 635-655.
    • (1926) Am. J. Hyg. , vol.5 , pp. 635-655
    • Chapin, C.V.1
  • 20
    • 33750037356 scopus 로고    scopus 로고
    • Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects
    • doi:10.1016/j.physd.2006.08.006
    • Choisy, M., Guegan, J.-F. & Rohani, P. 2006 Dynamics of infectious diseases and pulse vaccination: teasing apart the embedded resonance effects. Phys. D-Nonlinear Phenom. 223, 26-35. (doi:10.1016/j.physd.2006.08.006)
    • (2006) Phys. D-Nonlinear Phenom. , vol.223 , pp. 26-35
    • Choisy, M.1    Guegan, J.-F.2    Rohani, P.3
  • 22
    • 34447317505 scopus 로고    scopus 로고
    • Seasonality and the persistence and invasion of measles
    • doi:10.1098/rspb.2006.0030
    • Conlan, A. J. K. & Grenfell, B. T. 2007 Seasonality and the persistence and invasion of measles. Proc. R. Soc. B. 274, 1133-1141. (doi:10.1098/rspb.2006.0030)
    • (2007) Proc. R. Soc. B. , vol.274 , pp. 1133-1141
    • Conlan, A.J.K.1    Grenfell, B.T.2
  • 23
    • 0030620649 scopus 로고    scopus 로고
    • Chaotic dynamics in an insect population
    • doi:10.1126/science.275.5298.389
    • Costantino, R. F., Desharnais, R. A., Cushing, J. M. & Dennis, B. 1997 Chaotic dynamics in an insect population. Science 275, 389-391. (doi:10.1126/science.275.5298.389)
    • (1997) Science , vol.275 , pp. 389-391
    • Costantino, R.F.1    Desharnais, R.A.2    Cushing, J.M.3    Dennis, B.4
  • 25
    • 3042553395 scopus 로고    scopus 로고
    • Skeletons, noise and population growth: The end of an old debate?
    • doi:10.1016/j.tree.2004.05.008
    • Coulson, T., Rohani, P. & Pascual, M. 2004 Skeletons, noise and population growth: the end of an old debate? Trends Ecol. Evol. 19, 359-364. (doi:10.1016/j.tree.2004.05.008)
    • (2004) Trends Ecol. Evol. , vol.19 , pp. 359-364
    • Coulson, T.1    Rohani, P.2    Pascual, M.3
  • 26
    • 0002454064 scopus 로고
    • The incidence of infectious diseases under the influence of seasonal fluctuations
    • In Mathematical models in medicine (eds J. Berger, W. Buhler, R. Repges & P. Tautu), New York, NY: Springer-Verlag
    • Dietz, K. 1976 The incidence of infectious diseases under the influence of seasonal fluctuations. In Mathematical models in medicine (eds J. Berger, W. Buhler, R. Repges & P. Tautu), Lecture Notes in Biomathematics, vol.11, pp. 1-15. New York, NY: Springer-Verlag.
    • (1976) Lecture Notes in Biomathematics , vol.11 , pp. 1-15
    • Dietz, K.1
  • 28
    • 0032491877 scopus 로고    scopus 로고
    • Persistence, chaos and synchrony in ecology and epidemiology
    • doi:10.1098/rspb.1998.0256
    • Earn, D. J.,Rohani, P.&Grenfell, B.T. 1998Persistence, chaos and synchrony in ecology and epidemiology. Proc. R. Soc. Lond. B 265, 7-10. (doi:10.1098/rspb.1998.0256)
    • (1998) Proc. R. Soc. Lond. B , vol.265 , pp. 7-10
    • Earn, D.J.1    Rohani, P.2    Grenfell, B.T.3
  • 29
    • 0034723248 scopus 로고    scopus 로고
    • A simple model for complex dynamical transitions in epidemics
    • DOI 10.1126/science.287.5453.667
    • Earn, D. J., Rohani, P., Bolker, B. M. & Grenfell, B. T. 2000 A simple model for complex dynamical transitions in epidemics. Science 287, 667-670. (doi:10.1126/science.287.5453.667) (Pubitemid 30070917)
    • (2000) Science , vol.287 , Issue.5453 , pp. 667-670
    • Earn, D.J.D.1    Rohani, P.2    Bolker, B.M.3    Grenfell, B.T.4
  • 30
    • 77951673749 scopus 로고
    • Measles in Africa
    • Editorial.
    • Editorial. 1968 Measles in Africa. The Lancet, 239.
    • (1968) The Lancet , vol.239
  • 31
    • 0001069111 scopus 로고
    • Periodic fluctuations in the number of animals: Their causes and effects
    • Elton, C. 1924 Periodic fluctuations in the number of animals: their causes and effects. Br. J. Exp. Biol. 2, 119-163.
    • (1924) Br. J. Exp. Biol. , vol.2 , pp. 119-163
    • Elton, C.1
  • 33
    • 0020072418 scopus 로고
    • Measles in England and Wales I: An analysis of factors underlying seasonal patterns
    • doi:10.1093/ije/11.1.5
    • Fine, P. E. M. & Clarkson, J. A. 1982 Measles in England and Wales I: an analysis of factors underlying seasonal patterns. Int. J. Epidemiol. 11, 5-13. (doi:10.1093/ije/11.1.5)
    • (1982) Int. J. Epidemiol. , vol.11 , pp. 5-13
    • Fine, P.E.M.1    Clarkson, J.A.2
  • 34
    • 0034360414 scopus 로고    scopus 로고
    • Time series modelling of childhood diseases: A dynamical systems approach
    • doi:10.1111/1467-9876.00187
    • Finkenstadt, B. F. & Grenfell, B. T. 2000 Time series modelling of childhood diseases: a dynamical systems approach. J. R. Stat. Soc. C (Appl. Stat.) 49, 187-205. (doi:10.1111/1467-9876.00187)
    • (2000) J. R. Stat. Soc. C (Appl. Stat.) , vol.49 , pp. 187-205
    • Finkenstadt, B.F.1    Grenfell, B.T.2
  • 35
    • 0032492905 scopus 로고    scopus 로고
    • Patterns of density dependence in measles dynamics
    • doi:10.1098/rspb.1998.0357s
    • Finkenstadt, B.F.,Keeling, M.J.&Grenfell, B.T. 1998Patterns of density dependence in measles dynamics. Proc. R. Soc. Lond. B 265, 753-762. (doi:10.1098/rspb.1998.0357s)
    • (1998) Proc. R. Soc. Lond. B , vol.265 , pp. 753-762
    • Finkenstadt, B.F.1    Keeling, M.J.2    Grenfell, B.T.3
  • 36
    • 0038485591 scopus 로고    scopus 로고
    • Interpreting timeseries analyses for continuous-time biological models-measles as a case study
    • doi:10.1016/S0022-5193(03)00031-6
    • Glass, K., Xia, Y. & Grenfell, B. T. 2003 Interpreting timeseries analyses for continuous-time biological models-measles as a case study. J. Theoret. Biol. 223, 19-25. (doi:10.1016/S0022-5193(03)00031-6)
    • (2003) J. Theoret. Biol. , vol.223 , pp. 19-25
    • Glass, K.1    Xia, Y.2    Grenfell, B.T.3
  • 37
    • 33846677506 scopus 로고    scopus 로고
    • Unacceptably high mortality related to measles epidemics in Niger, Nigeria, and Chad
    • doi:10.1371/journal.pmed.0040016
    • Grais, R. F. et al. 2007 Unacceptably high mortality related to measles epidemics in Niger, Nigeria, and Chad. PLoS Med. 4, 122-129. (doi:10.1371/journal.pmed.0040016)
    • (2007) PLoS Med. , vol.4 , pp. 122-129
    • Grais, R.F.1
  • 38
    • 33748982385 scopus 로고    scopus 로고
    • Seasonal infectious disease epidemiology
    • doi:10.1098/rspb.2006.3604
    • Grassly, N. C. & Fraser, C. 2006 Seasonal infectious disease epidemiology. Proc. R. Soc. B. 273, 2541-2550. (doi:10.1098/rspb.2006.3604)
    • (2006) Proc. R. Soc. B. , vol.273 , pp. 2541-2550
    • Grassly, N.C.1    Fraser, C.2
  • 39
    • 27544470905 scopus 로고    scopus 로고
    • The impact of environmental fluctuations on structured discrete time population models: Resonance, synchrony and threshold behaviour
    • doi:10.1016/j.tpb.2005.06.007
    • Greenman, J. V. & Benton, T. G. 2005 The impact of environmental fluctuations on structured discrete time population models: resonance, synchrony and threshold behaviour. Theoret. Popul. Biol. 68, 217-235. (doi:10.1016/j.tpb.2005.06.007)
    • (2005) Theoret. Popul. Biol. , vol.68 , pp. 217-235
    • Greenman, J.V.1    Benton, T.G.2
  • 40
    • 1142267538 scopus 로고    scopus 로고
    • External forcing of ecological and epidemiological systems: A resonance approach
    • doi:10.1016/j.physd.2003.08.008
    • Greenman, J., Kamo, M. & Boots, M. 2004 External forcing of ecological and epidemiological systems: a resonance approach. Phys. D 190, 136-151. (doi:10.1016/j.physd.2003.08.008)
    • (2004) Phys. D , vol.190 , pp. 136-151
    • Greenman, J.1    Kamo, M.2    Boots, M.3
  • 41
    • 0028811937 scopus 로고
    • Seasonality and extinction in chaotic metapopulations
    • doi:10.1098/rspb.1995.0015
    • Grenfell, B. T., Bolker, B. M.& Kleczkowski, A. 1995 Seasonality and extinction in chaotic metapopulations. Proc. R. Soc. Lond. B 259, 97-103. (doi:10.1098/rspb.1995.0015)
    • (1995) Proc. R. Soc. Lond. B , vol.259 , pp. 97-103
    • Grenfell, B.T.1    Bolker, B.M.2    Kleczkowski, A.3
  • 42
    • 0035856957 scopus 로고    scopus 로고
    • Travelling waves and spatial hierarchies in measles epidemics
    • DOI 10.1038/414716a
    • Grenfell, B. T., Bjornstad, O. N. & Kappey, J. 2001 Travelling waves and spatial hierarchies in measles epidemics. Nature 414, 716-723. (doi:10.1038/414716a) (Pubitemid 34000763)
    • (2001) Nature , vol.414 , Issue.6865 , pp. 716-723
    • Grenfell, B.T.1    Bjornstad, O.N.2    Kappey, J.3
  • 43
    • 0036590803 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: Scaling noise, determinism and predictability with the TSIR model II
    • Grenfell, B. T., Bjornstad, O. N. & Finkenstädt, B. F. 2002 Dynamics of measles epidemics: scaling noise, determinism and predictability with the TSIR model II. Ecol. Monogr. 72, 185-202.
    • (2002) Ecol. Monogr. , vol.72 , pp. 185-202
    • Grenfell, B.T.1    Bjornstad, O.N.2    Finkenstädt, B.F.3
  • 44
    • 0019075237 scopus 로고
    • Oscillatory phenomena in a model of infectious diseases
    • doi:10. 1016/0040-5809(80)90050-7
    • Grossman, Z. 1980 Oscillatory phenomena in a model of infectious diseases. Theoret. Popul. Biol. 18, 204-243. (doi:10. 1016/0040-5809(80)90050-7)
    • (1980) Theoret. Popul. Biol. , vol.18 , pp. 204-243
    • Grossman, Z.1
  • 45
    • 0001622139 scopus 로고
    • Epidemic disease in England
    • Hamer, W. H. 1906 Epidemic disease in England. The Lancet 1, 733-739.
    • (1906) The Lancet , vol.1 , pp. 733-739
    • Hamer, W.H.1
  • 47
    • 74049096785 scopus 로고    scopus 로고
    • Plug-and-play inference for disease dynamics: Measles in large and small populations as a case study
    • doi:10.1098/rsif.2009.0151
    • He, D., Ionides, E. L. & King, A. A. 2009 Plug-and-play inference for disease dynamics: measles in large and small populations as a case study. J. R. Soc. Interface 7, 271-283. (doi:10.1098/rsif.2009.0151)
    • (2009) J. R. Soc. Interface , vol.7 , pp. 271-283
    • He, D.1    Ionides, E.L.2    King, A.A.3
  • 51
    • 0023970721 scopus 로고
    • Increased measles mortality in households with multiple cases in the Gambia, 1981
    • Hull, H. F. 1988 Increased measles mortality in households with multiple cases in The Gambia, 1981. Rev. Infect. Dis. 10, 463-467.
    • (1988) Rev. Infect. Dis. , vol.10 , pp. 463-467
    • Hull, H.F.1
  • 52
    • 33845508786 scopus 로고    scopus 로고
    • Inference for nonlinear dynamical systems
    • doi:10.1073/pnas.0603181103
    • Ionides, E. L., Bret, C. & King, A. A. 2006 Inference for nonlinear dynamical systems. Proc. Natl Acad. Sci. USA 103, 18 438-18 443. (doi:10.1073/pnas.0603181103)
    • (2006) Proc. Natl Acad. Sci. USA , vol.103 , pp. 18438-18443
    • Ionides, E.L.1    Bret, C.2    King, A.A.3
  • 53
    • 0033614333 scopus 로고    scopus 로고
    • Stochastic dynamics and power law for measles variability
    • Keeling, M. J. & Grenfell, B. T. 1999 Stochastic dynamics and power law for measles variability. Proc. R. Soc. Lond. B 354, 769-776.
    • (1999) Proc. R. Soc. Lond. B , vol.354 , pp. 769-776
    • Keeling, M.J.1    Grenfell, B.T.2
  • 55
    • 0347663530 scopus 로고    scopus 로고
    • Seasonally forced disease dynamics explored as switching between attractors
    • DOI 10.1016/S0167-2789(00)00187-1, PII S0167278900001871
    • Keeling, M. J., Rohani, P. & Grenfell, B. T. 2001 Seasonally-forced disease dynamics explored as switching between attractors. Physica D 148, 317-335. (doi:10.1016/S0167-2789(00)00187-1) (Pubitemid 33651593)
    • (2001) Physica D: Nonlinear Phenomena , vol.148 , Issue.3-4 , pp. 317-335
    • Keeling, M.J.1    Rohani, P.2    Grenfell, B.T.3
  • 57
    • 58149435908 scopus 로고
    • Whooping-cough: Its prevalence and mortality in Aberdeen
    • doi:10.1016/S0033-3506(01)80186-4
    • Laing, J. S. & Hay, M. 1902 Whooping-cough: its prevalence and mortality in Aberdeen. Public Health 14, 584-599. (doi:10.1016/S0033-3506(01) 80186-4)
    • (1902) Public Health , vol.14 , pp. 584-599
    • Laing, J.S.1    Hay, M.2
  • 58
    • 85020825839 scopus 로고
    • Technical report, Department of Mathematical Statistics, University of Manchester
    • Linnert, A. 1954 Manchester epidemiological report 1917-1951 Technical report, Department of Mathematical Statistics, University of Manchester.
    • (1954) Manchester Epidemiological Report 1917-1951
    • Linnert, A.1
  • 59
    • 0015739604 scopus 로고
    • Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates
    • London, W. P. & Yorke, J. A. 1973 Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates. Am. J. Epidemiol. 98, 453-468.
    • (1973) Am. J. Epidemiol. , vol.98 , pp. 453-468
    • London, W.P.1    Yorke, J.A.2
  • 62
    • 0003769663 scopus 로고
    • 2nd edn. Princeton Landmarks in Biology. Princeton, NJ: Princeton University Press
    • May, R. M. 1974 Stability and complexity in model ecosystems, 2nd edn. Princeton Landmarks in Biology. Princeton, NJ: Princeton University Press.
    • (1974) Stability and Complexity in Model Ecosystems
    • May, R.M.1
  • 63
    • 0005171820 scopus 로고
    • Measles in Nigerian children. a study of the disease in West Africa, and its manifestations in England and other countries during different epochs
    • doi:10.1017/S0022172400020799
    • Morley, D., Woodland, M. & Martin, W. J. 1963 Measles in Nigerian children. a study of the disease in West Africa, and its manifestations in England and other countries during different epochs. J. Hyg. 61, 115-134. (doi:10.1017/S0022172400020799)
    • (1963) J. Hyg. , vol.61 , pp. 115-134
    • Morley, D.1    Woodland, M.2    Martin, W.J.3
  • 65
    • 85020760533 scopus 로고
    • Office of Population, Censuses and Surveys (OPCS). to 1913 and 1922 to to LXXIV, no. 52 and ?, London: HMSO
    • Office of Population, Censuses and Surveys (OPCS). (1904 to 1913 and 1922 to 1932) Registrar General's weekly returns of births and deaths in London and in other large towns, vol.LXV, no.1 (to LXXIV, no. 52 and ?), London: HMSO.
    • (1904) Registrar General's Weekly Returns of Births and Deaths in London and in Other Large Towns , vol.65 , Issue.1
  • 67
    • 84960584367 scopus 로고
    • Increased risk of measles mortality for children with siblings among the fula bande, senegal
    • Pison, G. & Bonneuil, N. 1988 Increased risk of measles mortality for children with siblings among the fula bande, senegal. Rev. Infect. Dis. 10, 468-470.
    • (1988) Rev. Infect. Dis. , vol.10 , pp. 468-470
    • Pison, G.1    Bonneuil, N.2
  • 68
    • 0037093046 scopus 로고    scopus 로고
    • Epidemiology of pertussis in a West African community before and after introduction of a widespread vaccination program
    • doi:10.1093/aje/155.10.891
    • Preziosi, M.-P., Yam, A., Wassilak, S. G. F., Chabirand, L., Simaga, A., Ndiaye, M., Dia, M., Dabis, F. & Simondon, F. 2002 Epidemiology of pertussis in a West African community before and after introduction of a widespread vaccination program. Am. J. Epidemiol. 155, 891-896. (doi:10.1093/aje/155.10. 891)
    • (2002) Am. J. Epidemiol. , vol.155 , pp. 891-896
    • Preziosi, M.-P.1    Yam, A.2    Wassilak, S.G.F.3    Chabirand, L.4    Simaga, A.5    Ndiaye, M.6    Dia, M.7    Dabis, F.8    Simondon, F.9
  • 70
    • 33845498402 scopus 로고    scopus 로고
    • Power spectra reveal the influence of stochasticity on nonlinear population dynamics
    • doi:10.1073/pnas.0608571103
    • Reuman, D. C., Desharnais, R. A., Costantino, R. F., Ahmad, O. S. & Cohen, J. E. 2006 Power spectra reveal the influence of stochasticity on nonlinear population dynamics. Proc. Natl Acad. Sci. USA 103, 18 860-18 865. (doi:10.1073/pnas.0608571103)
    • (2006) Proc. Natl Acad. Sci. USA , vol.103 , pp. 18860-18865
    • Reuman, D.C.1    Desharnais, R.A.2    Costantino, R.F.3    Ahmad, O.S.4    Cohen, J.E.5
  • 71
    • 0033615482 scopus 로고    scopus 로고
    • Opposite patterns of synchrony in sympatric disease metapopulations
    • DOI 10.1126/science.286.5441.968
    • Rohani, P., Earn, D. J. & Grenfell, B. T. 1999 Opposite patterns of synchrony in sympatric disease metapopulations. Science 286, 968-971. (doi:10.1126/science.286.5441.968) (Pubitemid 33594037)
    • (1999) Science , vol.286 , Issue.5441 , pp. 968-971
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 72
    • 0036229603 scopus 로고    scopus 로고
    • The interplay between determinism and stochasticity in childhood diseases
    • doi:10.1086/339467
    • Rohani, P., Keeling, M. J. & Grenfell, B. T. 2002 The interplay between determinism and stochasticity in childhood diseases. Am. Nat. 159, 469-481. (doi:10.1086/339467)
    • (2002) Am. Nat. , vol.159 , pp. 469-481
    • Rohani, P.1    Keeling, M.J.2    Grenfell, B.T.3
  • 73
    • 0037464561 scopus 로고    scopus 로고
    • Ecological interference between fatal diseases
    • doi:10.1038/nature01542
    • Rohani, P., Green, C. J., Mantilla-Beniers, N. B. & Grenfell, B. T. 2003 Ecological interference between fatal diseases. Nature 422, 885-888. (doi:10.1038/nature01542)
    • (2003) Nature , vol.422 , pp. 885-888
    • Rohani, P.1    Green, C.J.2    Mantilla-Beniers, N.B.3    Grenfell, B.T.4
  • 74
    • 77957185501 scopus 로고
    • An age-structured model of pre- And post-vaccination measles transmission
    • doi:10.1093/imammb/1.2.169
    • Schenzle, D. 1984 An age-structured model of pre- and post-vaccination measles transmission. IMA Am. J. Math. Med. Biol. 1, 169-191. (doi:10.1093/imammb/1.2.169)
    • (1984) IMA Am. J. Math. Med. Biol. , vol.1 , pp. 169-191
    • Schenzle, D.1
  • 75
    • 0021051389 scopus 로고
    • Infinite subharmonic bifurcation in an SEIR epidemic model
    • doi:10.1007/BF00276090
    • Schwartz, I. B. & Smith, H. L. 1983 Infinite subharmonic bifurcation in an SEIR epidemic model. J. Math. Biol. 18, 233-253. (doi:10.1007/BF00276090)
    • (1983) J. Math. Biol. , vol.18 , pp. 233-253
    • Schwartz, I.B.1    Smith, H.L.2
  • 76
    • 0002426167 scopus 로고
    • The interpretation of periodicity in disease prevalence
    • doi:10.2307/2341437
    • Soper, H. E. 1929 The interpretation of periodicity in disease prevalence. J. R. Stat. Soc. A 92, 34-61. (doi:10.2307/2341437)
    • (1929) J. R. Stat. Soc. A , vol.92 , pp. 34-61
    • Soper, H.E.1
  • 77
    • 34047120681 scopus 로고    scopus 로고
    • Seasonal dynamics of recurrent epidemics
    • doi:0028-083610.1038/nature05638
    • Stone, L., Olinky, R. & Huppert, A. 2007 Seasonal dynamics of recurrent epidemics. Nature 446, 533-536. (doi:0028-083610.1038/nature05638)
    • (2007) Nature , vol.446 , pp. 533-536
    • Stone, L.1    Olinky, R.2    Huppert, A.3
  • 78
    • 0002311145 scopus 로고
    • Education
    • ed. F. M. L. Thompson, Cambridge, UK: Cambridge University Press
    • Sutherland, G. 1993 Education. In The Cambridge social history of Britain, vol.3 (ed. F. M. L. Thompson), pp. 119-169. Cambridge, UK: Cambridge University Press.
    • (1993) The Cambridge Social History of Britain , vol.3 , pp. 119-169
    • Sutherland, G.1
  • 79
    • 1542680533 scopus 로고    scopus 로고
    • A practical guide to wavelet analysis
    • doi:10.1175/1520-0477(1998)079〈0061:APGTWA〉2.0.CO;2
    • Torrence, C. & Compo, G. P. 1998a A practical guide to wavelet analysis. Bull. Am. Meteorol. Soc. 79, 61-78. (doi:10.1175/1520-0477(1998) 079〈0061:APGTWA〉2.0.CO;2)
    • (1998) Bull. Am. Meteorol. Soc. , vol.79 , pp. 61-78
    • Torrence, C.1    Compo, G.P.2
  • 81
    • 0043097217 scopus 로고
    • Measles: Its prevalence and mortality in Aberdeen
    • Wilson, G. N. 1905 Measles: its prevalence and mortality in Aberdeen. Public Health 18, 5-82.
    • (1905) Public Health , vol.18 , pp. 5-82
    • Wilson, G.N.1
  • 82
    • 0024164237 scopus 로고
    • The causes of rapid infant-mortality decline in England and Wales, 1861-1921
    • 1
    • Woods, R. I., Watterson, P. A. & Woodward, J. H. 1988 The causes of rapid infant-mortality decline in England and Wales, 1861-1921. 1. Popul. Stud. J. Demogr. 42, 343-366.
    • (1988) Popul. Stud. J. Demogr. , vol.42 , pp. 343-366
    • Woods, R.I.1    Watterson, P.A.2    Woodward, J.H.3
  • 83
    • 0024474282 scopus 로고
    • The causes of rapid infant-mortality decline in England and Wales, 1861-1921
    • 2
    • Woods, R. I., Watterson, P. A. & Woodward, J. H. 1989 The causes of rapid infant-mortality decline in England and Wales, 1861-1921. 2. Popul. Stud. J. Demogr. 43, 113-132.
    • (1989) Popul. Stud. J. Demogr. , vol.43 , pp. 113-132
    • Woods, R.I.1    Watterson, P.A.2    Woodward, J.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.