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Volumn 2011, Issue , 2011, Pages

The failure of R0

Author keywords

[No Author keywords available]

Indexed keywords

DISEASE CONTROL; ESTIMATION;

EID: 84856320054     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2011/527610     Document Type: Review
Times cited : (158)

References (62)
  • 4
    • 75449118270 scopus 로고    scopus 로고
    • Correcting the actual reproduction number: A simple method to estimate R0 from early epidemic growth data
    • Nishiura H., Correcting the actual reproduction number: a simple method to estimate R0 from early epidemic growth data International Journal of Environmental Research and Public Health 2010 7 1 291 302
    • (2010) International Journal of Environmental Research and Public Health , vol.7 , Issue.1 , pp. 291-302
    • Nishiura, H.1
  • 6
    • 39449093381 scopus 로고    scopus 로고
    • The basic reproduction number of plant pathogens: Matrix approaches to complex dynamics
    • DOI 10.1094/PHYTO-98-2-0239
    • van den Bosch F., McRoberts N., van den Berg F., Madden L. V., The basic reproduction number of plant pathogens: matrix approaches to complex dynamics Phytopathology 2008 98 2 239 249 (Pubitemid 351270316)
    • (2008) Phytopathology , vol.98 , Issue.2 , pp. 239-249
    • Van Den Bosch, F.1    McRoberts, N.2    Van Den Berg, F.3    Madden, L.V.4
  • 8
    • 0025159677 scopus 로고
    • On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
    • Diekmann O., Heesterbeek J. A., Metz J. A., On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations Journal of Mathematical Biology 1990 28 4 365 382
    • (1990) Journal of Mathematical Biology , vol.28 , Issue.4 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.2    Metz, J.A.3
  • 10
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • DOI 10.1016/S0025-5564(02)00108-6, PII S0025556402001086
    • van den Driessche P., Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Mathematical Biosciences 2002 180 29 48 (Pubitemid 35304346)
    • (2002) Mathematical Biosciences , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 11
    • 33646846267 scopus 로고    scopus 로고
    • Transmission assumptions generate conflicting predictions in host-vector disease models: A case study in West Nile virus
    • DOI 10.1111/j.1461-0248.2006.00912.x
    • Wonham M. J., Lewis M. A., Rencawowicz J., van den Driessche P., Transmission assumptions generate conflicting predictions in host-vector disease models: a case study in West Nile virus Ecology Letters 2006 9 6 706 725 (Pubitemid 43773913)
    • (2006) Ecology Letters , vol.9 , Issue.6 , pp. 706-725
    • Wonham, M.J.1    Lewis, M.A.2    Renclawowicz, J.3    Van Den Driessche, P.4
  • 13
    • 38349194099 scopus 로고    scopus 로고
    • Assessing the risk of bluetongue to UK livestock: Uncertainty and sensitivity analyses of a temperature-dependent model for the basic reproduction number
    • Gubbins S., Carpenter S., Baylis M., Wood J. L.N., Mellor P. S., Assessing the risk of bluetongue to UK livestock: uncertainty and sensitivity analyses of a temperature-dependent model for the basic reproduction number Journal of the Royal Society Interface 2008 5 20 363 371
    • (2008) Journal of the Royal Society Interface , vol.5 , Issue.20 , pp. 363-371
    • Gubbins, S.1    Carpenter, S.2    Baylis, M.3    Wood, J.L.N.4    Mellor, P.S.5
  • 14
    • 70349941248 scopus 로고    scopus 로고
    • A graph-theoretic method for the basic reproduction number in continuous time epidemiological models
    • de-Camino-Beck T., Lewis M. A., van den Driessche P., A graph-theoretic method for the basic reproduction number in continuous time epidemiological models Journal of Mathematical Biology 2009 59 4 503 516
    • (2009) Journal of Mathematical Biology , vol.59 , Issue.4 , pp. 503-516
    • De-Camino-Beck, T.1    Lewis, M.A.2    Van Den Driessche, P.3
  • 15
    • 72849128148 scopus 로고    scopus 로고
    • Can we spend our way out of the AIDS epidemic? A world halting AIDS model
    • Smith? R. J., Li J., Gordon R., Heffernan J. M., Can we spend our way out of the AIDS epidemic? A world halting AIDS model BMC Public Health 2009 9 1, supplement 1
    • (2009) BMC Public Health , vol.9 , Issue.1 SUPPL. 1
    • Smith, R.J.1    Li, J.2    Gordon, R.3    Heffernan, J.M.4
  • 16
    • 13244261143 scopus 로고    scopus 로고
    • + T cells
    • DOI 10.1016/j.bulm.2004.06.004, PII S0092824004000679
    • Gmez-Acevedo H., Li M. Y., Backward bifurcation in a model for HTLV-I infection of CD4 + T cells Bulletin of Mathematical Biology 2005 67 1 101 114 (Pubitemid 40181070)
    • (2005) Bulletin of Mathematical Biology , vol.67 , Issue.1 , pp. 101-114
    • Gomez-Acevedo, H.1    Li, M.Y.2
  • 17
    • 33748286842 scopus 로고    scopus 로고
    • The minimum effort required to eradicate infections in models with backward bifurcation
    • DOI 10.1007/s00285-006-0028-8
    • Safan M., Heesterbeek H., Dietz K., The minimum effort required to eradicate infections in models with backward bifurcation Journal of Mathematical Biology 2006 53 4 703 718 (Pubitemid 44326897)
    • (2006) Journal of Mathematical Biology , vol.53 , Issue.4 , pp. 703-718
    • Safan, M.1    Heesterbeek, H.2    Dietz, K.3
  • 18
  • 19
    • 41949112171 scopus 로고    scopus 로고
    • Backward bifurcations and multiple equilibria in epidemic models with structured immunity
    • Reluga T. C., Medlock J., Perelson A. S., Backward bifurcations and multiple equilibria in epidemic models with structured immunity Journal of Theoretical Biology 2008 252 1 155 165
    • (2008) Journal of Theoretical Biology , vol.252 , Issue.1 , pp. 155-165
    • Reluga, T.C.1    Medlock, J.2    Perelson, A.S.3
  • 20
    • 33644882541 scopus 로고    scopus 로고
    • Parameterization of individual-based models: Comparisons with deterministic mean-field models
    • Green D. M., Kiss I. Z., Kao R. R., Parameterization of individual-based models: comparisons with deterministic mean-field models Journal of Theoretical Biology 2006 239 3 289 297
    • (2006) Journal of Theoretical Biology , vol.239 , Issue.3 , pp. 289-297
    • Green, D.M.1    Kiss, I.Z.2    Kao, R.R.3
  • 21
    • 33747887800 scopus 로고    scopus 로고
    • 0 in heterogeneous populations
    • DOI 10.1016/j.jtbi.2006.04.003, PII S002251930600138X
    • Kao R. R., Evolution of pathogens towards low R0 in heterogeneous populations Journal of Theoretical Biology 2006 242 3 634 642 (Pubitemid 44291688)
    • (2006) Journal of Theoretical Biology , vol.242 , Issue.3 , pp. 634-642
    • Kao, R.R.1
  • 22
    • 34948836194 scopus 로고    scopus 로고
    • Disease dynamics over very different time-scales: Foot-and-mouth disease and scrapie on the network of livestock movements in the UK
    • DOI 10.1098/rsif.2007.1129
    • Kao R. R., Green D. M., Johnson J., Kiss I. Z., Disease dynamics over very different time-scales: foot-and-mouth disease and scrapie on the network of livestock movements in the UK Journal of the Royal Society Interface 2007 4 16 907 916 (Pubitemid 47523495)
    • (2007) Journal of the Royal Society Interface , vol.4 , Issue.16 , pp. 907-916
    • Kao, R.R.1    Green, D.M.2    Johnson, J.3    Kiss, I.Z.4
  • 23
    • 34547299719 scopus 로고    scopus 로고
    • Contact network epidemiology: Bond percolation applied to infectious disease prediction and control
    • Meyers L. A., Contact network epidemiology: bond percolation applied to infectious disease prediction and control Bulletin of the American Mathematical Society 2007 44 1 63 86
    • (2007) Bulletin of the American Mathematical Society , vol.44 , Issue.1 , pp. 63-86
    • Meyers, L.A.1
  • 24
    • 61849110802 scopus 로고    scopus 로고
    • Heterogeneity and network structure in the dynamics of diffusion: Comparing agent-based and differential equation models
    • Rahmandad H., Sterman J., Heterogeneity and network structure in the dynamics of diffusion: comparing agent-based and differential equation models Management Science 2008 54 5 998 1014
    • (2008) Management Science , vol.54 , Issue.5 , pp. 998-1014
    • Rahmandad, H.1    Sterman, J.2
  • 25
    • 61749104520 scopus 로고    scopus 로고
    • On the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata
    • Schimit P. H. T., Monteiro L. H. A., On the basic reproduction number and the topological properties of the contact network: an epidemiological study in mainly locally connected cellular automata Ecological Modelling 2009 220 7 1034 1042
    • (2009) Ecological Modelling , vol.220 , Issue.7 , pp. 1034-1042
    • Schimit, P.H.T.1    Monteiro, L.H.A.2
  • 26
    • 20444420879 scopus 로고    scopus 로고
    • Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations
    • DOI 10.1111/j.1461-0248.2005.00760.x
    • Cross P. C., Lloyd-Smith J. O., Johnson P. L. F., Getz W. M., Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations Ecology Letters 2005 8 6 587 595 (Pubitemid 40802025)
    • (2005) Ecology Letters , vol.8 , Issue.6 , pp. 587-595
    • Cross, P.C.1    Lloyd-Smith, J.O.2    Johnson, P.L.F.3    Getz, W.M.4
  • 27
    • 67650921764 scopus 로고    scopus 로고
    • Reassessing the human immunodeficiency virus type 1 life cycle through age-structured modeling: Life span of infected cells, viral generation time, and basic reproductive number, R0
    • Althaus C. L., De Vos A. S., De Boer R. J., Reassessing the human immunodeficiency virus type 1 life cycle through age-structured modeling: life span of infected cells, viral generation time, and basic reproductive number, R0 Journal of Virology 2009 83 15 7659 7667
    • (2009) Journal of Virology , vol.83 , Issue.15 , pp. 7659-7667
    • Althaus, C.L.1    De Vos, A.S.2    De Boer, R.J.3
  • 28
    • 33746563616 scopus 로고    scopus 로고
    • Improving estimates of the basic reproductive ratio: Using both the mean and the dispersal of transition times
    • DOI 10.1016/j.tpb.2006.03.003, PII S0040580906000323
    • Heffernan J. M., Wahl L. M., Improving estimates of the basic reproductive ratio: using both the mean and the dispersal of transition times Theoretical Population Biology 2006 70 2 135 145 (Pubitemid 44142674)
    • (2006) Theoretical Population Biology , vol.70 , Issue.2 , pp. 135-145
    • Heffernan, J.M.1    Wahl, L.M.2
  • 30
    • 67349096015 scopus 로고    scopus 로고
    • Is R0 a good predictor of final epidemic size: Foot-and-mouth disease in the UK
    • Tildesley M. J., Keeling M. J., Is R0 a good predictor of final epidemic size: foot-and-mouth disease in the UK Journal of Theoretical Biology 2009 258 4 623 629
    • (2009) Journal of Theoretical Biology , vol.258 , Issue.4 , pp. 623-629
    • Tildesley, M.J.1    Keeling, M.J.2
  • 32
    • 33244490109 scopus 로고    scopus 로고
    • Linking population-level models with growing networks: A class of epidemic models
    • Breban R., Vardavas R., Blower S., Linking population-level models with growing networks: a class of epidemic models Physical Review E 2005 72 4
    • (2005) Physical Review e , vol.72 , Issue.4
    • Breban, R.1    Vardavas, R.2    Blower, S.3
  • 33
    • 45149094509 scopus 로고    scopus 로고
    • Theory versus data: How to calculate R0 ?
    • ARTICLE NO. E282
    • Breban R., Vardavas R., Blower S., Theory versus data: how to calculate R0 ? PLoS ONE 2007 2 3, article no. e282
    • (2007) PLoS ONE , vol.2 , Issue.3
    • Breban, R.1    Vardavas, R.2    Blower, S.3
  • 35
    • 0037963623 scopus 로고    scopus 로고
    • A new method for estimating the effort required to control an infectious disease
    • DOI 10.1098/rspb.2003.2339
    • Roberts M. G., Heesterbeek J. A. P., A new method for estimating the effort required to control an infectious disease Proceedings of the Royal Society B 2003 270 1522 1359 1364 (Pubitemid 36831296)
    • (2003) Proceedings of the Royal Society B: Biological Sciences , vol.270 , Issue.1522 , pp. 1359-1364
    • Roberts, M.G.1    Heesterbeek, J.A.P.2
  • 36
    • 0035819554 scopus 로고    scopus 로고
    • The basic depression ratio of the host: The evolution of host resistance to microparasites
    • DOI 10.1098/rspb.2000.1360
    • Bowers R. G., The basic depression ratio of the host: the evolution of host resistance to microparasites Proceedings of the Royal Society B 2001 268 1464 243 250 (Pubitemid 32154502)
    • (2001) Proceedings of the Royal Society B: Biological Sciences , vol.268 , Issue.1464 , pp. 243-250
    • Bowers, R.G.1
  • 37
    • 10444276556 scopus 로고    scopus 로고
    • Definition and estimation of an actual reproduction number describing past infectious disease transmission: Application to HIV epidemics among homosexual men in Denmark, Norway and Sweden
    • DOI 10.1017/S0950268804002997
    • Amundsen E. J., Stigum H., Rttingen J.-A., Aalen O. O., Definition and estimation of an actual reproduction number describing past infectious disease transmission: application to HIV epidemics among homosexual men in Denmark, Norway and Sweden Epidemiology and Infection 2004 132 6 1139 1149 (Pubitemid 39642397)
    • (2004) Epidemiology and Infection , vol.132 , Issue.6 , pp. 1139-1149
    • Amundsen, E.J.1    Stigum, H.2    Rottingen, J.-A.3    Aalen, O.O.4
  • 38
    • 33748510367 scopus 로고    scopus 로고
    • Is HIV out of control in the UK? An example of analysing patterns of HIV spreading using incidence-to-prevalence ratios
    • DOI 10.1097/01.aids.0000244213.23574.fa, PII 0000203020060911000017
    • White P. J., Ward H., Garnett G. P., Is HIV out of control in the UK? An example of analysing patterns of HIV spreading using incidence-to-prevalence ratios AIDS 2006 20 14 1898 1901 (Pubitemid 44358912)
    • (2006) AIDS , vol.20 , Issue.14 , pp. 1898-1901
    • White, P.J.1    Ward, H.2    Garnett, G.P.3
  • 39
    • 53849121655 scopus 로고    scopus 로고
    • Growth rates in epidemic models: Application to a model for HIV/AIDS progression
    • Gran J. M., Wasmuth L., Amundsen E. J., Lindqvist B. H., Aalen O. O., Growth rates in epidemic models: application to a model for HIV/AIDS progression Statistics in Medicine 2008 27 23 4817 4834
    • (2008) Statistics in Medicine , vol.27 , Issue.23 , pp. 4817-4834
    • Gran, J.M.1    Wasmuth, L.2    Amundsen, E.J.3    Lindqvist, B.H.4    Aalen, O.O.5
  • 42
    • 33746413901 scopus 로고    scopus 로고
    • Reply to comment on Linking population-level models with growing networks: A class of epidemic models
    • Breban R., Vardavas R., Blower S., Reply to comment on Linking population-level models with growing networks: a class of epidemic models Physical Review E 2006 74 1
    • (2006) Physical Review e , vol.74 , Issue.1
    • Breban, R.1    Vardavas, R.2    Blower, S.3
  • 44
    • 43049098171 scopus 로고    scopus 로고
    • Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE)
    • Kamgang J. C., Sallet G., Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE) Mathematical Biosciences 2008 213 1 1 12
    • (2008) Mathematical Biosciences , vol.213 , Issue.1 , pp. 1-12
    • Kamgang, J.C.1    Sallet, G.2
  • 45
    • 49849101153 scopus 로고    scopus 로고
    • A new SEIR epidemic model with applications to the theory of eradication and control of diseases, and to the calculation of R0
    • Huang S. Z., A new SEIR epidemic model with applications to the theory of eradication and control of diseases, and to the calculation of R0 Mathematical Biosciences 2008 215 1 84 104
    • (2008) Mathematical Biosciences , vol.215 , Issue.1 , pp. 84-104
    • Huang, S.Z.1
  • 48
    • 33748775204 scopus 로고    scopus 로고
    • Estimating in real time the efficacy of measures to control emerging communicable diseases
    • DOI 10.1093/aje/kwj274
    • Cauchemez S., Bolle P.-Y., Thomas G., Valleron A.-J., Estimating in real time the efficacy of measures to control emerging communicable diseases American Journal of Epidemiology 2006 164 6 591 597 (Pubitemid 44412788)
    • (2006) American Journal of Epidemiology , vol.164 , Issue.6 , pp. 591-597
    • Cauchemez, S.1    Boelle, P.-Y.2    Thomas, G.3    Valleron, A.-J.4
  • 49
    • 33746599090 scopus 로고    scopus 로고
    • Modeling the HIV/AIDS epidemic among injecting drug users and sex workers in Kunming, China
    • DOI 10.1007/s11538-005-9051-y
    • Bacar N., Abdurahman X., Ye J., Modeling the HIV/AIDS epidemic among injecting drug users and sex workers in Kunming, China Bulletin of Mathematical Biology 2006 68 3 525 550 (Pubitemid 44195560)
    • (2006) Bulletin of Mathematical Biology , vol.68 , Issue.3 , pp. 525-550
    • Bacaer, N.1    Abdurahman, X.2    Ye, J.3
  • 50
    • 34447305777 scopus 로고    scopus 로고
    • Analytic insights into the population level impact of imperfect prophylactic HIV vaccines
    • DOI 10.1097/QAI.0b013e3180959a94
    • Abu-Raddad L. J., Boily M.-C., Self S., Longini Jr. I. M., Analytic insights into the population level impact of imperfect prophylactic HIV vaccines Journal of Acquired Immune Deficiency Syndromes 2007 45 4 454 467 (Pubitemid 47057674)
    • (2007) Journal of Acquired Immune Deficiency Syndromes , vol.45 , Issue.4 , pp. 454-467
    • Abu-Raddad, L.J.1    Boily, M.-C.2    Self, S.3    Longini Jr., I.M.4
  • 51
    • 33846862467 scopus 로고    scopus 로고
    • Comparative estimation of the reproduction number for pandemic influenza from daily case notification data
    • DOI 10.1098/rsif.2006.0161
    • Chowell G., Nishiura H., Bettencourt L. M. A., Comparative estimation of the reproduction number for pandemic influenza from daily case notification data Journal of the Royal Society Interface 2007 4 12 154 166 (Pubitemid 46225441)
    • (2007) Journal of the Royal Society Interface , vol.4 , Issue.12 , pp. 154-166
    • Chowell, G.1    Nishiura, H.2    Bettencourt, L.M.A.3
  • 52
    • 34249951995 scopus 로고    scopus 로고
    • How generation intervals shape the relationship between growth rates and reproductive numbers
    • DOI 10.1098/rspb.2006.3754
    • Wallinga J., Lipsitch M., How generation intervals shape the relationship between growth rates and reproductive numbers Proceedings of the Royal Society B 2007 274 1609 599 604 (Pubitemid 47055535)
    • (2007) Proceedings of the Royal Society B: Biological Sciences , vol.274 , Issue.1609 , pp. 599-604
    • Wallinga, J.1    Lipsitch, M.2
  • 53
    • 85023080146 scopus 로고    scopus 로고
    • Effects of antiviral drugs on viral detection in influenza patients and on the sequential infection to their family membersserial examination by rapid diagnosis (Capilia) and virus culture
    • Hirotsu N., Ikematsu H., Iwaki N., Kawai N., Shigematsu T., Kunishima O., Effects of antiviral drugs on viral detection in influenza patients and on the sequential infection to their family membersserial examination by rapid diagnosis (Capilia) and virus culture International Congress Series 2004 1263 105 108
    • (2004) International Congress Series , vol.1263 , pp. 105-108
    • Hirotsu, N.1    Ikematsu, H.2    Iwaki, N.3    Kawai, N.4    Shigematsu, T.5    Kunishima, O.6
  • 54
    • 39049160050 scopus 로고    scopus 로고
    • Quantifying the transmission potential of pandemic influenza
    • Chowell G., Nishiura H., Quantifying the transmission potential of pandemic influenza Physics of Life Reviews 2008 5 1 50 77
    • (2008) Physics of Life Reviews , vol.5 , Issue.1 , pp. 50-77
    • Chowell, G.1    Nishiura, H.2
  • 55
    • 2442538159 scopus 로고    scopus 로고
    • Public Health Risk from the Avian H5N1 Influenza Epidemic
    • DOI 10.1126/science.1096898
    • Ferguson N. M., Fraser C., Donnelly C. A., Ghani A. C., Anderson R. M., Public health risk from the avian H5N1 influenza epidemic Science 2004 304 5673 968 969 (Pubitemid 38638081)
    • (2004) Science , vol.304 , Issue.5673 , pp. 968-969
    • Ferguson, N.M.1    Fraser, C.2    Donnelly, C.A.3    Ghani, A.C.4    Anderson, R.M.5
  • 57
    • 33845881875 scopus 로고    scopus 로고
    • Revisiting the basic reproductive number for malaria and its implications for malaria control
    • ARTICLE E42
    • Smith D. L., McKenzie F. E., Snow R. W., Hay S. I., Revisiting the basic reproductive number for malaria and its implications for malaria control PLoS biology 2007 5 3, article e42
    • (2007) PLoS Biology , vol.5 , Issue.3
    • Smith, D.L.1    McKenzie, F.E.2    Snow, R.W.3    Hay, S.I.4
  • 60
    • 32044434020 scopus 로고    scopus 로고
    • Hyperinfectivity: A critical element in the ability of V. cholerae to cause epidemics?
    • DOI 10.1371/journal.pmed.0030007, e7
    • Hartley D. M., Morris J. G., Smith D. L., Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics? PLoS Medicine 2006 3 1 63 69 (Pubitemid 43200633)
    • (2006) PLoS Medicine , vol.3 , Issue.1 , pp. 63-69
    • Hartley, D.M.1    Morris Jr., J.G.2    Smith, D.L.3
  • 61
    • 34848898990 scopus 로고    scopus 로고
    • Mathematical and statistical analyses of the spread of dengue
    • Nishiura H., Mathematical and statistical analyses of the spread of dengue Dengue Bulletin 2006 30 51 67 (Pubitemid 47489907)
    • (2006) Dengue Bulletin , vol.30 , pp. 51-67
    • Nishiura, H.1
  • 62
    • 76049100212 scopus 로고    scopus 로고
    • Invasion, persistence and control in epidemic models for plant pathogens: The effect of host demography
    • Cunniffe N. J., Gilligan C. A., Invasion, persistence and control in epidemic models for plant pathogens: the effect of host demography Journal of the Royal Society Interface 2010 7 44 439 451
    • (2010) Journal of the Royal Society Interface , vol.7 , Issue.44 , pp. 439-451
    • Cunniffe, N.J.1    Gilligan, C.A.2


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