메뉴 건너뛰기




Volumn 223, Issue 1, 2006, Pages 26-35

Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects

Author keywords

Environmental forcing; Infectious diseases; Parametric resonance; Population dynamics; Pulse vaccination

Indexed keywords

AMPLIFICATION; COMPUTER SIMULATION; DISEASES; OSCILLATIONS; PERTURBATION TECHNIQUES; POPULATION STATISTICS; VACCINES;

EID: 33750037356     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.08.006     Document Type: Article
Times cited : (103)

References (50)
  • 1
    • 0021843092 scopus 로고
    • Randomness synchrony population persistence
    • Agur Z. Randomness synchrony population persistence. J. Theoret. Biol. 112 (1985) 677-693
    • (1985) J. Theoret. Biol. , vol.112 , pp. 677-693
    • Agur, Z.1
  • 3
    • 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., and May R.M. Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: time series analysis. J. Hyg. Camb. 93 (1984) 587-608
    • (1984) J. Hyg. Camb. , vol.93 , pp. 587-608
    • Anderson, R.M.1    Grenfell, B.T.2    May, R.M.3
  • 5
    • 0021690803 scopus 로고
    • Seasonality and period-doubling bifurcations in an epidemic model
    • Aron J., and Schwartz I. Seasonality and period-doubling bifurcations in an epidemic model. J. Theoret. Biol. 110 (1984) 665-679
    • (1984) J. Theoret. Biol. , vol.110 , pp. 665-679
    • Aron, J.1    Schwartz, I.2
  • 7
    • 0003188315 scopus 로고
    • Measles periodicity and community size
    • Bartlett M.S. Measles periodicity and community size. J. Roy. Statist. Soc. Ser. A 120 (1957) 48-70
    • (1957) J. Roy. Statist. Soc. Ser. A , vol.120 , pp. 48-70
    • Bartlett, M.S.1
  • 8
    • 0036369855 scopus 로고    scopus 로고
    • Exciting chaos with noise: unexpected dynamics in epidemic outbreaks
    • Billings L., and Schwartz I.B. Exciting chaos with noise: unexpected dynamics in epidemic outbreaks. J. Math. Biol. 44 (2002) 31-48
    • (2002) J. Math. Biol. , vol.44 , pp. 31-48
    • Billings, L.1    Schwartz, I.B.2
  • 9
    • 0036590892 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model
    • Bjørnstad O.N., Finkenstädt B., and Grenfell B.T. Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model. Ecol. Monogr. 72 (2002) 169-184
    • (2002) Ecol. Monogr. , vol.72 , pp. 169-184
    • Bjørnstad, O.N.1    Finkenstädt, B.2    Grenfell, B.T.3
  • 10
    • 0027465252 scopus 로고
    • Chaos and biological complexity in measles dynamics
    • Bolker B.M., and Grenfell B.T. Chaos and biological complexity in measles dynamics. Proc. R. Soc. Lond. B 251 (1993) 75-81
    • (1993) Proc. R. Soc. Lond. B , vol.251 , pp. 75-81
    • Bolker, B.M.1    Grenfell, B.T.2
  • 11
    • 0029654470 scopus 로고
    • Space, persistence and dynamics of measles epidemics
    • Bolker B.M., and Grenfell B.T. Space, persistence and dynamics of measles epidemics. Philos. Trans. R. Soc. Lond. B 348 (1995) 309-320
    • (1995) Philos. Trans. R. Soc. Lond. B , vol.348 , pp. 309-320
    • Bolker, B.M.1    Grenfell, B.T.2
  • 12
    • 0029956730 scopus 로고    scopus 로고
    • Impact of vaccination on the spatial correlation and persistence of measles dynamics
    • Bolker B.M., and Grenfell B.T. Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc. Natl. Acad. Sci. USA 93 (1996) 12648-12653
    • (1996) Proc. Natl. Acad. Sci. USA , vol.93 , pp. 12648-12653
    • Bolker, B.M.1    Grenfell, B.T.2
  • 13
    • 0034436630 scopus 로고    scopus 로고
    • Impact of immunization of seasonal cycle of chickenpox
    • Deguen S., and Flahault A. Impact of immunization of seasonal cycle of chickenpox. Eur. J. Epidemiol. 16 (2000) 1177-1181
    • (2000) Eur. J. Epidemiol. , vol.16 , pp. 1177-1181
    • Deguen, S.1    Flahault, A.2
  • 15
    • 0002454064 scopus 로고
    • The incidence of infectious diseases under the influence of seasonal fluctuations
    • Dietz K. The incidence of infectious diseases under the influence of seasonal fluctuations. Lect. Notes Biomath. 11 (1976) 1-5
    • (1976) Lect. Notes Biomath. , vol.11 , pp. 1-5
    • Dietz, K.1
  • 16
    • 0036291194 scopus 로고    scopus 로고
    • Stability properties of pulses vaccination strategy in SEIR epidemic model
    • d'Onofrio A. Stability properties of pulses vaccination strategy in SEIR epidemic model. Math. Biosci. 179 (2002) 57-72
    • (2002) Math. Biosci. , vol.179 , pp. 57-72
    • d'Onofrio, A.1
  • 17
    • 0034723248 scopus 로고    scopus 로고
    • A simple model for complex dynamical transitions in epidemics
    • Earn D.J.D., Rohani P., Bolker B.M., and Grenfell B.T. A simple model for complex dynamical transitions in epidemics. Science 287 (2000) 667-670
    • (2000) Science , vol.287 , pp. 667-670
    • Earn, D.J.D.1    Rohani, P.2    Bolker, B.M.3    Grenfell, B.T.4
  • 18
    • 0032491877 scopus 로고    scopus 로고
    • Persistence, chaos and synchrony in ecology and epidemiology
    • Earn D.J.D., Rohani P., and Grenfell B.T. Persistence, chaos and synchrony in ecology and epidemiology. Proc. R. Soc. Lond. B 265 (1998) 7-10
    • (1998) Proc. R. Soc. Lond. B , vol.265 , pp. 7-10
    • Earn, D.J.D.1    Rohani, P.2    Grenfell, B.T.3
  • 19
    • 0031895048 scopus 로고    scopus 로고
    • Noise and nonlinearity in measles epidemics: combining mechanistic and statistical approaches to population modeling
    • Ellner S., Bailey B.A., Bobashev G.V., Gallant A.R., Grenfell B.T., and Nychka D.W. Noise and nonlinearity in measles epidemics: combining mechanistic and statistical approaches to population modeling. Am. Nat. 151 (1998) 425-440
    • (1998) Am. Nat. , vol.151 , pp. 425-440
    • Ellner, S.1    Bailey, B.A.2    Bobashev, G.V.3    Gallant, A.R.4    Grenfell, B.T.5    Nychka, D.W.6
  • 20
    • 0020072418 scopus 로고
    • Measles in England and Wales. 1. An analysis of factors underlying seasonal patterns
    • Fine P.E.M., and Clarkson J.A. Measles in England and Wales. 1. An analysis of factors underlying seasonal patterns. Int. J. Epidemiol. 11 (1982) 5-14
    • (1982) Int. J. Epidemiol. , vol.11 , pp. 5-14
    • Fine, P.E.M.1    Clarkson, J.A.2
  • 22
    • 0031066070 scopus 로고    scopus 로고
    • Melnikov analysis of chaos in a simple epidemiological model
    • Glendinning P., and Perry L.P. Melnikov analysis of chaos in a simple epidemiological model. J. Math. Biol. 35 (1997) 359-373
    • (1997) J. Math. Biol. , vol.35 , pp. 359-373
    • Glendinning, P.1    Perry, L.P.2
  • 23
    • 1142267538 scopus 로고    scopus 로고
    • External forcing of ecological and epidemiological systems: a resonance approach
    • Greenman J., Kamo M., and Boots M. External forcing of ecological and epidemiological systems: a resonance approach. Physica D 190 (2004) 136-151
    • (2004) Physica D , vol.190 , pp. 136-151
    • Greenman, J.1    Kamo, M.2    Boots, M.3
  • 24
    • 0036590803 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: scaling noise, determinism, and predictability with the TSIR model
    • Grenfell B.T., Bjørnstad O.N., and Finkenstädt B.F. Dynamics of measles epidemics: scaling noise, determinism, and predictability with the TSIR model. Ecol. Monogr. 72 (2002) 185-202
    • (2002) Ecol. Monogr. , vol.72 , pp. 185-202
    • Grenfell, B.T.1    Bjørnstad, O.N.2    Finkenstädt, B.F.3
  • 25
    • 0035856957 scopus 로고    scopus 로고
    • Travelling waves and spatial hierarchies in measles epidemics
    • Grenfell B.T., Bjørnstad O.N., and Kappey J. Travelling waves and spatial hierarchies in measles epidemics. Nature 414 (2001) 716-723
    • (2001) Nature , vol.414 , pp. 716-723
    • Grenfell, B.T.1    Bjørnstad, O.N.2    Kappey, J.3
  • 26
    • 0019075237 scopus 로고
    • Oscillatory phenomena in a model of infectious diseases
    • Grossman Z. Oscillatory phenomena in a model of infectious diseases. Theor. Popul. Biol. 18 (1980) 204-243
    • (1980) Theor. Popul. Biol. , vol.18 , pp. 204-243
    • Grossman, Z.1
  • 27
    • 0002109848 scopus 로고
    • The incidence of infectious diseases under the influence of seasonal fluctuations - analytical approach
    • Lakshmikantham V. (Ed), Academic Press, New York
    • Grossman Z., Gumowski I., and Dietz K. The incidence of infectious diseases under the influence of seasonal fluctuations - analytical approach. In: Lakshmikantham V. (Ed). Nonlinear Systems and Applications (1977), Academic Press, New York 525-546
    • (1977) Nonlinear Systems and Applications , pp. 525-546
    • Grossman, Z.1    Gumowski, I.2    Dietz, K.3
  • 28
    • 0002734106 scopus 로고    scopus 로고
    • Oscillations in an endemic model for pertussis
    • Hethcote H.W. Oscillations in an endemic model for pertussis. Can. Appl. Math. Q. 6 (1998) 61-88
    • (1998) Can. Appl. Math. Q. , vol.6 , pp. 61-88
    • Hethcote, H.W.1
  • 31
    • 0031015249 scopus 로고    scopus 로고
    • Disease extinction and community size: modeling the persistence of measles
    • Keeling M.J., and Grenfell B.T. Disease extinction and community size: modeling the persistence of measles. Science 275 (1997) 65-67
    • (1997) Science , vol.275 , pp. 65-67
    • Keeling, M.J.1    Grenfell, B.T.2
  • 32
    • 0347663530 scopus 로고    scopus 로고
    • Seasonally forced disease dynamics explored as switching between attractors
    • Keeling M.J., Rohani P., and Grenfell B.T. Seasonally forced disease dynamics explored as switching between attractors. Physica D 148 (2001) 317-335
    • (2001) Physica D , vol.148 , pp. 317-335
    • Keeling, M.J.1    Rohani, P.2    Grenfell, B.T.3
  • 33
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Kermack W.O., and McKendrick A.G. A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. A 115 (1927) 700-721
    • (1927) Proc. R. Soc. Lond. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 34
    • 0029980587 scopus 로고    scopus 로고
    • Spatial heterogeneity in epidemic models
    • Lloyd A.L., and May R.M. Spatial heterogeneity in epidemic models. J. Theoret. Biol. 179 (1996) 1-11
    • (1996) J. Theoret. Biol. , vol.179 , pp. 1-11
    • Lloyd, A.L.1    May, R.M.2
  • 35
    • 0015739604 scopus 로고
    • Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates
    • London W.P., and Yorke J.A. Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates. Am. J. Epidemiol. 98 (1973) 453-468
    • (1973) Am. J. Epidemiol. , vol.98 , pp. 453-468
    • London, W.P.1    Yorke, J.A.2
  • 36
    • 0031047025 scopus 로고    scopus 로고
    • Vaccination in pulses: a strategy for global eradication of measles and polio?
    • Nokes D.J., and Swinton J. Vaccination in pulses: a strategy for global eradication of measles and polio?. Trends Microbiol. 5 (1997) 14-19
    • (1997) Trends Microbiol. , vol.5 , pp. 14-19
    • Nokes, D.J.1    Swinton, J.2
  • 38
    • 0033615482 scopus 로고    scopus 로고
    • Opposite patterns of synchrony in sympatric disease metapopulations
    • Rohani P., Earn D.J.D., and Grenfell B.T. Opposite patterns of synchrony in sympatric disease metapopulations. Science 286 (1999) 968-971
    • (1999) Science , vol.286 , pp. 968-971
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 39
    • 0034700886 scopus 로고    scopus 로고
    • Impact of immunisation on pertussis transmission in England and Wales
    • Rohani P., Earn D.J.D., and Grenfell B.T. Impact of immunisation on pertussis transmission in England and Wales. Lancet 355 (2000) 285-286
    • (2000) Lancet , vol.355 , pp. 285-286
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 40
    • 0036229603 scopus 로고    scopus 로고
    • The interplay between determinism and stochasticity in childhood diseases
    • Rohani P., Keeling M.J., and Grenfell B.T. The interplay between determinism and stochasticity in childhood diseases. Am. Nat. 159 (2002) 469-481
    • (2002) Am. Nat. , vol.159 , pp. 469-481
    • Rohani, P.1    Keeling, M.J.2    Grenfell, B.T.3
  • 41
    • 0021912738 scopus 로고
    • Nearly one dimensional dynamics in an epidemic
    • Schaffer W.M., and Kot M. Nearly one dimensional dynamics in an epidemic. J. Theoret. Biol. 112 (1985) 403-427
    • (1985) J. Theoret. Biol. , vol.112 , pp. 403-427
    • Schaffer, W.M.1    Kot, M.2
  • 42
    • 77957185501 scopus 로고
    • An age-structured model of pre- and post-vaccination measles transmission
    • Schenzle D. An age-structured model of pre- and post-vaccination measles transmission. IMA J. Math. Appl. Med. Biol. 1 (1984) 169-191
    • (1984) IMA J. Math. Appl. Med. Biol. , vol.1 , pp. 169-191
    • Schenzle, D.1
  • 43
    • 0021990877 scopus 로고
    • Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
    • Schwartz I. Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models. J. Math. Biol. 21 (1985) 347-361
    • (1985) J. Math. Biol. , vol.21 , pp. 347-361
    • Schwartz, I.1
  • 44
    • 0021051389 scopus 로고
    • Infinite subharmonic bifurcation in an SEIR epidemic model
    • Schwartz I., and Smith H. Infinite subharmonic bifurcation in an SEIR epidemic model. J. Math. Biol. 18 (1983) 233-253
    • (1983) J. Math. Biol. , vol.18 , pp. 233-253
    • Schwartz, I.1    Smith, H.2
  • 45
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • Shulgin B., Stone L., and Agur Z. Pulse vaccination strategy in the SIR epidemic model. Bull. Math. Biol. 60 (1998) 1123-1148
    • (1998) Bull. Math. Biol. , vol.60 , pp. 1123-1148
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 46
    • 0020956406 scopus 로고
    • Multiple stable subharmonics for a periodic epidemic model
    • Smith H. Multiple stable subharmonics for a periodic epidemic model. J. Math. Biol. 17 (1983) 179-190
    • (1983) J. Math. Biol. , vol.17 , pp. 179-190
    • Smith, H.1
  • 47
    • 0009388613 scopus 로고
    • A perturbation method for the stochastic recurrent epidemic
    • Stirzaker D. A perturbation method for the stochastic recurrent epidemic. J. Inst. Math. Appl. 15 (1975) 135-160
    • (1975) J. Inst. Math. Appl. , vol.15 , pp. 135-160
    • Stirzaker, D.1
  • 48
    • 0034143395 scopus 로고    scopus 로고
    • Theoretical examination of the pulse vaccination policy in the SIR epidemic model
    • Stone L., Shulgin B., and Agur Z. Theoretical examination of the pulse vaccination policy in the SIR epidemic model. Math. Comput. Modeling 31 (2000) 207-215
    • (2000) Math. Comput. Modeling , vol.31 , pp. 207-215
    • Stone, L.1    Shulgin, B.2    Agur, Z.3
  • 49
    • 0027769668 scopus 로고
    • The case for chaos in childhood epidemics. II. Predicting historical epidemics from mathematical models
    • Tidd C.W., Olsen L.F., and Schaffer W.M. The case for chaos in childhood epidemics. II. Predicting historical epidemics from mathematical models. Proc. R. Soc. Lond. B 254 (1993) 257-273
    • (1993) Proc. R. Soc. Lond. B , vol.254 , pp. 257-273
    • Tidd, C.W.1    Olsen, L.F.2    Schaffer, W.M.3
  • 50
    • 0034180280 scopus 로고    scopus 로고
    • Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics
    • Tuckwell H.C., Toubiana L., and Vibert J.-F. Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics. Phys. Rev. E 61 (2000) 5611-5619
    • (2000) Phys. Rev. E , vol.61 , pp. 5611-5619
    • Tuckwell, H.C.1    Toubiana, L.2    Vibert, J.-F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.