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Volumn 4, Issue 14, 2007, Pages 575-582

Stochastic amplification in epidemics

Author keywords

Childhood diseases; Endogenous stochastic resonance; Epidemics; Oscillations; Stochastic modelling

Indexed keywords

ARTICLE; CHILDHOOD DISEASE; DISEASE COURSE; DISEASE TRANSMISSION; EPIDEMIOLOGICAL DATA; POPULATION DYNAMICS; SEASONAL VARIATION; STOCHASTIC MODEL;

EID: 34249804787     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2006.0192     Document Type: Article
Times cited : (224)

References (32)
  • 1
    • 0003188313 scopus 로고
    • Measles periodicity and community size
    • Bartlett, M. S. 1957 Measles periodicity and community size. J. R. Stat. Soc. A 120, 37-44.
    • (1957) J. R. Stat. Soc. A , vol.120 , pp. 37-44
    • Bartlett, M.S.1
  • 2
    • 34249804106 scopus 로고    scopus 로고
    • Interepidemic intervals in forced and unforced SEIR models
    • Bauch, C. T. & Earn, D. J. D. 2003a Interepidemic intervals in forced and unforced SEIR models. Fields Inst. Commun. 36, 33-44.
    • (2003) Fields Inst. Commun , vol.36 , pp. 33-44
    • Bauch, C.T.1    Earn, D.J.D.2
  • 3
    • 0041529714 scopus 로고    scopus 로고
    • 20036 Transients and attractors in epidemics
    • doi:10.1098/rspb.2003. 2410
    • Bauch, C. T. & Earn, D. J. D. 20036 Transients and attractors in epidemics. Proc. R. Soc. B 270, 1573-1578. (doi:10.1098/rspb.2003. 2410)
    • Proc. R. Soc. B , vol.270 , pp. 1573-1578
    • Bauch, C.T.1    Earn, D.J.D.2
  • 4
    • 0036590892 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: Estimating scaling transmission rates using a time series SIR model
    • Bjørnstad, O. N., Finkenstädt, B. F. & Grenfell, B. T. 2002 Dynamics of measles epidemics: estimating scaling transmission rates using a time series SIR model. Ecol. Monogr. 72, 169-184.
    • (2002) Ecol. Monogr , vol.72 , pp. 169-184
    • Bjørnstad, O.N.1    Finkenstädt, B.F.2    Grenfell, B.T.3
  • 5
    • 0029956730 scopus 로고
    • Impact of vaccination on the spatial correlation and persistence of measles dynamics
    • doi:10.1073/pnas.93.22.12648
    • Bolker, B. M. & Grenfell, B. T. 1995 Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc. Natl Acad. Sci. USA 93, 12 648-12 653. (doi:10.1073/pnas.93.22.12648)
    • (1995) Proc. Natl Acad. Sci. USA , vol.93
    • Bolker, B.M.1    Grenfell, B.T.2
  • 6
    • 85025388274 scopus 로고
    • Critical dynamics and the expansion of the master equation including a critical point. Diffusion approximation
    • doi:10.1016/0378-4371(80)90207-1
    • Dekker, H. 1980a Critical dynamics and the expansion of the master equation including a critical point. Diffusion approximation. Physica A 103, 55-79. (doi:10.1016/0378-4371(80)90207-1)
    • (1980) Physica A , vol.103 , pp. 55-79
    • Dekker, H.1
  • 7
    • 0008026020 scopus 로고
    • Critical dynamics and the expansion of the master equation including a critical point. General Markov processes
    • doi: 10.1016/0378-4371(80)90208-3
    • Dekker, H. 1980b Critical dynamics and the expansion of the master equation including a critical point. General Markov processes. Physica A 103, 80-98. (doi: 10.1016/0378-4371(80)90208-3)
    • (1980) Physica A , vol.103 , pp. 80-98
    • Dekker, H.1
  • 8
    • 0036160013 scopus 로고    scopus 로고
    • Fitting population models with process noise and observation error
    • de Valpine, D. P. & Hastings, A. 2002 Fitting population models with process noise and observation error. Ecol. Monogr. 72, 57-76.
    • (2002) Ecol. Monogr , vol.72 , pp. 57-76
    • de Valpine, D.P.1    Hastings, A.2
  • 9
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • doi:10.1006/tpbi.l994. 1032
    • Durrett, R. & Levin, S. 1994 The importance of being discrete (and spatial). Theor. Popul. Biol. 46, 363-394. (doi:10.1006/tpbi.l994. 1032)
    • (1994) Theor. Popul. Biol , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.2
  • 10
    • 10044287073 scopus 로고    scopus 로고
    • Dynamical resonance can account for seasonality of influenza epidemics
    • doi:10.1073/pnas. 0407293101
    • Dushoff, J., Plotkin, J. B., Levin, S. A. & Earn, D. J. D. 2004 Dynamical resonance can account for seasonality of influenza epidemics. Proc. Natl Acad. Sci. USA 101, 16 915-16 916. (doi:10.1073/pnas. 0407293101)
    • (2004) Proc. Natl Acad. Sci. USA , vol.101
    • Dushoff, J.1    Plotkin, J.B.2    Levin, S.A.3    Earn, D.J.D.4
  • 11
    • 0034723248 scopus 로고    scopus 로고
    • A simple model for complex dynamical transitions in epidemics
    • doi:10.1126/science.287.5453.667
    • Earn, D. J. D., 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)
    • (2000) Science , vol.287 , pp. 667-670
    • Earn, D.J.D.1    Rohani, P.2    Bolker, B.M.3    Grenfell, B.T.4
  • 12
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • doi:10.1016/0021-9991(76)90041-3
    • Gillespie, D. T. 1976 A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22, 403-434. (doi:10.1016/0021-9991(76)90041-3)
    • (1976) J. Comput. Phys , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 13
    • 13444278646 scopus 로고    scopus 로고
    • Host immunity and synchronized epidemics of syphilis across the United States
    • doi:10.1038/nature03072
    • Grassly, N. C., Frasser, C. & Garnett, G. P. 2005 Host immunity and synchronized epidemics of syphilis across the United States. Nature 433, 417-421. (doi:10.1038/nature03072)
    • (2005) Nature , vol.433 , pp. 417-421
    • Grassly, N.C.1    Frasser, C.2    Garnett, G.P.3
  • 14
    • 0036590803 scopus 로고    scopus 로고
    • Dynamics of measles epidemics: Scaling noise, determinism, and predictability with the TSIR model
    • Grenfell, B. T., Bjørnstad, O. N. & Finkenstadt, B. F. 2002 Dynamics of measles epidemics: scaling noise, determinism, and predictability with the TSIR model. Ecol. Monogr. 72, 185-202.
    • (2002) Ecol. Monogr , vol.72 , pp. 185-202
    • Grenfell, B.T.1    Bjørnstad, O.N.2    Finkenstadt, B.F.3
  • 15
    • 0034993113 scopus 로고    scopus 로고
    • Transient dynamics and persistence of ecological systems
    • doi:10.1046/j.1461-0248.2001. 00220.x
    • Hastings, A. 2001 Transient dynamics and persistence of ecological systems. Ecol. Lett. 4, 215-220. (doi:10.1046/j.1461-0248.2001. 00220.x)
    • (2001) Ecol. Lett , vol.4 , pp. 215-220
    • Hastings, A.1
  • 16
    • 0347062671 scopus 로고    scopus 로고
    • Transients: The key to long-term ecological understanding?
    • doi: 10.1016/j.tree.2003.09.007
    • Hastings, A. 2004 Transients: the key to long-term ecological understanding? Trends Ecol. Evol. 19, 39-45. (doi: 10.1016/j.tree.2003.09.007)
    • (2004) Trends Ecol. Evol , vol.19 , pp. 39-45
    • Hastings, A.1
  • 17
    • 0002734106 scopus 로고    scopus 로고
    • Oscillations in an endemic model for pertussis
    • Hethcote, H. W. 1998 Oscillations in an endemic model for pertussis. Can. Appl. Math. Q. 6, 61-88.
    • (1998) Can. Appl. Math. Q , vol.6 , pp. 61-88
    • Hethcote, H.W.1
  • 18
    • 0000236256 scopus 로고
    • Periodicity in epidemiological models
    • eds L. Gross, T. G. Hallam & S. A. Levin, pp, Berlin, Germany: Springer
    • Hethcote, H. W. & Levin, S. A. 1989 Periodicity in epidemiological models. In Applied mathematical ecology (eds L. Gross, T. G. Hallam & S. A. Levin), pp. 193-211. Berlin, Germany: Springer.
    • (1989) Applied mathematical ecology , pp. 193-211
    • Hethcote, H.W.1    Levin, S.A.2
  • 19
    • 0041526787 scopus 로고    scopus 로고
    • Measles outbreaks in a population with declining vaccine uptake
    • doi:10.1126/science.1086726
    • Jansen, V. A. A., Stollenwerk, N., Jensen, H. J., Ramsay, M. E., Edmunds, W. J. & Rhodes, C. J. 2003 Measles outbreaks in a population with declining vaccine uptake. Science 301, 804. (doi:10.1126/science.1086726)
    • (2003) Science , vol.301 , pp. 804
    • Jansen, V.A.A.1    Stollenwerk, N.2    Jensen, H.J.3    Ramsay, M.E.4    Edmunds, W.J.5    Rhodes, C.J.6
  • 20
    • 0347663530 scopus 로고    scopus 로고
    • Seasonally forced disease dynamics explored as switching between attractors
    • doi:10.1016/S0167-2789(00)00187-1
    • 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)
    • (2001) Physica D , vol.148 , pp. 317-335
    • Keeling, M.J.1    Rohani, P.2    Grenfell, B.T.3
  • 21
    • 34249821579 scopus 로고    scopus 로고
    • Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models
    • Lloyd, A. L. & Jansen, V. V. A. 2002 Spatiotemporal dynamics of epidemics: synchrony in metapopulation models. Math. Biosci. 5, 20-29.
    • (2002) Math. Biosci , vol.5 , pp. 20-29
    • Lloyd, A.L.1    Jansen, V.V.A.2
  • 22
    • 0034723094 scopus 로고    scopus 로고
    • Simple rules with complex dynamics
    • doi:10.1126/science.287.5453.601
    • May, R. M. 2000 Simple rules with complex dynamics. Science 287, 601-602. (doi:10.1126/science.287.5453.601)
    • (2000) Science , vol.287 , pp. 601-602
    • May, R.M.1
  • 23
    • 27744447482 scopus 로고    scopus 로고
    • Predator-prey cycles from resonant amplification of demographic stochasticity
    • doi:10.1103/PhysRevLett.94.218102
    • McKane, A. J. & Newman, T. J. 2005 Predator-prey cycles from resonant amplification of demographic stochasticity. Phys. Rev. Lett. 94, 218 102. (doi:10.1103/PhysRevLett.94.218102)
    • (2005) Phys. Rev. Lett , vol.94 , pp. 218-102
    • McKane, A.J.1    Newman, T.J.2
  • 24
    • 0030616824 scopus 로고    scopus 로고
    • Alternatives to resilience for measuring the responses of ecological systems to perturbations
    • doi:10.2307/2266047
    • Neubert, R. & Caswell, H. 1997 Alternatives to resilience for measuring the responses of ecological systems to perturbations. Ecology 78, 653-665. (doi:10.2307/2266047)
    • (1997) Ecology , vol.78 , pp. 653-665
    • Neubert, R.1    Caswell, H.2
  • 26
    • 0025196595 scopus 로고
    • Chaos versus noisy periodicity: An alternative hypothesis for childhood epidemics
    • doi:10.1126/science.2382131
    • Olsen, L. F. & Schaffer, W. M. 1990 Chaos versus noisy periodicity: an alternative hypothesis for childhood epidemics. Science 249, 499-504. (doi:10.1126/science.2382131)
    • (1990) Science , vol.249 , pp. 499-504
    • Olsen, L.F.1    Schaffer, W.M.2
  • 27
    • 0025876128 scopus 로고
    • Chaotic stochasticity: A ubiquitous source of unpredictability in epidemics
    • Rand, D. A. & Wilson, H. B. 1991 Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics. Proc. R. Soc. B 246, 179-184.
    • (1991) Proc. R. Soc. B , vol.246 , pp. 179-184
    • Rand, D.A.1    Wilson, H.B.2
  • 28
    • 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. D. & Grenfell, B. T. 1999 Opposite patterns of synchrony in sympatric disease metapopulations. Science 286, 968-971. (doi:10.1126/science.286.5441.968)
    • (1999) Science , vol.286 , pp. 968-971
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 29
    • 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
  • 30
    • 0027118570 scopus 로고
    • Repellors attract attention
    • doi:10.1038/355584a0
    • Sidorowich, J. J. 1992 Repellors attract attention. Nature 355, 584-585. (doi:10.1038/355584a0)
    • (1992) Nature , vol.355 , pp. 584-585
    • Sidorowich, J.J.1
  • 32
    • 4143075752 scopus 로고    scopus 로고
    • Measles metapopulation dynamics: A gravity model for epidemiological coupling and dynamics
    • doi:10.1086/422341
    • Xia, Y., Bjørnstad, O. N. & Grenfell, B. T. 2004 Measles metapopulation dynamics: a gravity model for epidemiological coupling and dynamics. Am. Nat. 164, 267-268. (doi:10.1086/422341)
    • (2004) Am. Nat , vol.164 , pp. 267-268
    • Xia, Y.1    Bjørnstad, O.N.2    Grenfell, B.T.3


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