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Volumn 63, Issue 4, 2011, Pages 691-734

Epidemic growth rate and household reproduction number in communities of households, schools and workplaces

Author keywords

Epidemic dynamics; Household reproduction number; Real time growth rate; Stochastic epidemic models; Structured populations; Two levels of mixing

Indexed keywords

ARTICLE; BASIC REPRODUCTION NUMBER; COMPARATIVE STUDY; COMPUTER SIMULATION; DISEASE TRANSMISSION; FAMILY SIZE; HUMAN; INFLUENZA; PROBABILITY; SCHOOL; STATISTICAL MODEL; STATISTICS; WORKPLACE;

EID: 80052744976     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-010-0386-0     Document Type: Article
Times cited : (28)

References (45)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert R, Barabási AL (2002) Statistical mechanics of complex networks. Rev Mod Phys 74(1): 47-97.
    • (2002) Rev Mod Phys , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabási, A.L.2
  • 3
    • 0011481308 scopus 로고    scopus 로고
    • Stochastic epidemic models and their statistical analysis
    • Springer, New York
    • Andersson H, Britton T (2000) Stochastic epidemic models and their statistical analysis. In: Lecture notes in statistics, vol 151. Springer, New York.
    • (2000) Lecture notes in statistics , vol.151
    • Andersson, H.1    Britton, T.2
  • 4
    • 0000943691 scopus 로고
    • A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
    • Ball F (1986) A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models. Adv Appl Probab 18(2): 289-310.
    • (1986) Adv Appl Probab , vol.18 , Issue.2 , pp. 289-310
    • Ball, F.1
  • 5
    • 39549092111 scopus 로고    scopus 로고
    • An epidemic model with infector-dependent severity
    • Ball FG, Britton T (2007) An epidemic model with infector-dependent severity. Adv Appl Probab 39(4): 949.
    • (2007) Adv Appl Probab , vol.39 , Issue.4 , pp. 949
    • Ball, F.G.1    Britton, T.2
  • 6
    • 0036846225 scopus 로고    scopus 로고
    • A general model for stochastic SIR epidemics with two levels of mixing
    • Ball F, Neal P (2002) A general model for stochastic SIR epidemics with two levels of mixing. Math Biosci 180: 73-102.
    • (2002) Math Biosci , vol.180 , pp. 73-102
    • Ball, F.1    Neal, P.2
  • 7
    • 39649125153 scopus 로고    scopus 로고
    • Network epidemic models with two levels of mixing
    • Ball FG, Neal P (2008) Network epidemic models with two levels of mixing. Math Biosci 212(1): 69-87.
    • (2008) Math Biosci , vol.212 , Issue.1 , pp. 69-87
    • Ball, F.G.1    Neal, P.2
  • 9
    • 34948820617 scopus 로고    scopus 로고
    • When individual behaviour matters: homogeneous and network models in epidemiology
    • Bansal S, Grenfell BT, Meyers LA (2007) When individual behaviour matters: homogeneous and network models in epidemiology. J R Soc Interface 4(16): 879.
    • (2007) J R Soc Interface , vol.4 , Issue.16 , pp. 879
    • Bansal, S.1    Grenfell, B.T.2    Meyers, L.A.3
  • 10
    • 0001205620 scopus 로고
    • On a certain model of an epidemic
    • Bartoszyński R (1972) On a certain model of an epidemic. Appl Math 13(2): 139-151.
    • (1972) Appl Math , vol.13 , Issue.2 , pp. 139-151
    • Bartoszyński, R.1
  • 11
    • 0029054589 scopus 로고
    • The effect of household distribution on transmission and control of highly infectious diseases
    • Becker NG, Dietz K (1995) The effect of household distribution on transmission and control of highly infectious diseases. Math Biosci 127: 207-219.
    • (1995) Math Biosci , vol.127 , pp. 207-219
    • Becker, N.G.1    Dietz, K.2
  • 12
    • 7944235308 scopus 로고    scopus 로고
    • A Bayesian MCMC approach to study transmission of influenza: application to household longitudinal data
    • Cauchemez S, Carrat F, Viboud C, Valleron AJ, Boelle PY (2004) A Bayesian MCMC approach to study transmission of influenza: application to household longitudinal data. Stat Med 23(22): 3469-3487.
    • (2004) Stat Med , vol.23 , Issue.22 , pp. 3469-3487
    • Cauchemez, S.1    Carrat, F.2    Viboud, C.3    Valleron, A.J.4    Boelle, P.Y.5
  • 13
    • 42049099048 scopus 로고    scopus 로고
    • Estimating the impact of school closure on influenza transmission from Sentinel data
    • Cauchemez S, Valleron AJ, Boelle PY, Flahault A, Ferguson NM (2008) Estimating the impact of school closure on influenza transmission from Sentinel data. Nature 452(7188): 750-754.
    • (2008) Nature , vol.452 , Issue.7188 , pp. 750-754
    • Cauchemez, S.1    Valleron, A.J.2    Boelle, P.Y.3    Flahault, A.4    Ferguson, N.M.5
  • 15
    • 33846670320 scopus 로고    scopus 로고
    • Modeling the worldwide spread of pandemic influenza: Baseline case and containment interventions
    • Colizza V, Barrat A, Barthelemy M, Valleron AJ, Vespignani A (2007) Modeling the worldwide spread of pandemic influenza: Baseline case and containment interventions. PLoS Med 4(1): e13.
    • (2007) PLoS Med , vol.4 , Issue.1
    • Colizza, V.1    Barrat, A.2    Barthelemy, M.3    Valleron, A.J.4    Vespignani, A.5
  • 17
    • 77953160649 scopus 로고    scopus 로고
    • The construction of next-generation matrices for compartmental epidemic models
    • Diekmann O, Heesterbeek JAP, Roberts MG (2010) The construction of next-generation matrices for compartmental epidemic models. J R Soc Interface 7(47): 873-885.
    • (2010) J R Soc Interface , vol.7 , Issue.47 , pp. 873-885
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Roberts, M.G.3
  • 18
    • 0030753597 scopus 로고    scopus 로고
    • Who mixes with whom? a method to determine the contact patterns of adults that may lead to the spread of airborne infections
    • Edmunds WJ, O'Callaghan CJ, Nokes DJ (1997) Who mixes with whom? a method to determine the contact patterns of adults that may lead to the spread of airborne infections. Proc R Soc Lond Ser B 264(1384): 949-957.
    • (1997) Proc R Soc Lond Ser B , vol.264 , Issue.1384 , pp. 949-957
    • Edmunds, W.J.1    O'Callaghan, C.J.2    Nokes, D.J.3
  • 21
    • 39049108853 scopus 로고    scopus 로고
    • Estimating individual and household reproduction numbers in an emerging epidemic
    • Fraser C (2007) Estimating individual and household reproduction numbers in an emerging epidemic. PLoS ONE 2(8): e758.
    • (2007) PLoS ONE , vol.2 , Issue.8
    • Fraser, C.1
  • 23
    • 68849101420 scopus 로고    scopus 로고
    • Reproductive numbers, epidemic spread and control in a community of households
    • Goldstein E, Paur K, Fraser C, Kenah E, Wallinga J, Lipsitch M (2009) Reproductive numbers, epidemic spread and control in a community of households. Math Biosci 221(1): 11-25.
    • (2009) Math Biosci , vol.221 , Issue.1 , pp. 11-25
    • Goldstein, E.1    Paur, K.2    Fraser, C.3    Kenah, E.4    Wallinga, J.5    Lipsitch, M.6
  • 24
    • 44849101593 scopus 로고    scopus 로고
    • Mathematical models of infectious disease transmission
    • Grassly NC, Fraser C (2008) Mathematical models of infectious disease transmission. Nat Rev Microbiol 6(6): 477-487.
    • (2008) Nat Rev Microbiol , vol.6 , Issue.6 , pp. 477-487
    • Grassly, N.C.1    Fraser, C.2
  • 25
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote HW (2000) The mathematics of infectious diseases. SIAM Rev 42(4): 599-653.
    • (2000) SIAM Rev , vol.42 , Issue.4 , pp. 599-653
    • Hethcote, H.W.1
  • 26
    • 0000581927 scopus 로고
    • Epidemics in competition II: the general epidemic
    • Kendall WS, Saunders IW (1983) Epidemics in competition II: the general epidemic. J R Stat Soc Ser B 45(2): 238-244.
    • (1983) J R Stat Soc Ser B , vol.45 , Issue.2 , pp. 238-244
    • Kendall, W.S.1    Saunders, I.W.2
  • 27
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Kermack WO, McKendrick AG (1927) A contribution to the mathematical theory of epidemics. Proc R Soc Lond Ser A 115: 700-721.
    • (1927) Proc R Soc Lond Ser A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 28
    • 0016636706 scopus 로고
    • Final size distributions for epidemics
    • Ludwig D (1975) Final size distributions for epidemics. Math Biosci 23: 33.
    • (1975) Math Biosci , vol.23 , pp. 33
    • Ludwig, D.1
  • 29
    • 33750503157 scopus 로고    scopus 로고
    • Multitype randomized reed-frost epidemics and epidemics upon random graphs
    • Neal P (2006) Multitype randomized reed-frost epidemics and epidemics upon random graphs. Ann Appl Probab 16(3): 1166-1189.
    • (2006) Ann Appl Probab , vol.16 , Issue.3 , pp. 1166-1189
    • Neal, P.1
  • 30
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman MEJ (2003) The structure and function of complex networks. SIAM Rev 45(2): 167-256.
    • (2003) SIAM Rev , vol.45 , Issue.2 , pp. 167-256
    • Newman, M.E.J.1
  • 32
    • 54249124424 scopus 로고    scopus 로고
    • The relationship between real-time and discrete-generation models of epidemic spread
    • Pellis L, Ferguson NM, Fraser C (2008) The relationship between real-time and discrete-generation models of epidemic spread. Math Biosci 216(1): 63-70.
    • (2008) Math Biosci , vol.216 , Issue.1 , pp. 63-70
    • Pellis, L.1    Ferguson, N.M.2    Fraser, C.3
  • 33
    • 70349778708 scopus 로고    scopus 로고
    • Threshold parameters for a model of epidemic spread among households and workplaces
    • Pellis L, Ferguson NM, Fraser C (2009) Threshold parameters for a model of epidemic spread among households and workplaces. J R Soc Interface 6(40): 979-987.
    • (2009) J R Soc Interface , vol.6 , Issue.40 , pp. 979-987
    • Pellis, L.1    Ferguson, N.M.2    Fraser, C.3
  • 34
    • 0000729953 scopus 로고
    • A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes
    • Picard P, Lefèvre C (1990) A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes. Adv Appl Probab 22(2): 269.
    • (1990) Adv Appl Probab , vol.22 , Issue.2 , pp. 269
    • Picard, P.1    Lefèvre, C.2
  • 35
    • 34249883600 scopus 로고    scopus 로고
    • Large-scale spatial-transmission models of infectious disease
    • Riley S (2007) Large-scale spatial-transmission models of infectious disease. Science 316(5829): 1298-1301.
    • (2007) Science , vol.316 , Issue.5829 , pp. 1298-1301
    • Riley, S.1
  • 37
    • 35448971114 scopus 로고    scopus 로고
    • Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection
    • Roberts M, Heesterbeek J (2007) Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection. J Math Biol 55(5): 803-816.
    • (2007) J Math Biol , vol.55 , Issue.5 , pp. 803-816
    • Roberts, M.1    Heesterbeek, J.2
  • 38
    • 79952115213 scopus 로고    scopus 로고
    • Calculation of disease dynamics in a population of households
    • Ross JV, House T, Keeling MJ (2010) Calculation of disease dynamics in a population of households. PLoS ONE 5(3): e9666.
    • (2010) PLoS ONE , vol.5 , Issue.3
    • Ross, J.V.1    House, T.2    Keeling, M.J.3
  • 39
    • 80052695042 scopus 로고    scopus 로고
    • Research report/Mathematical Statistics, Stockholm University, 2001: 8. Mathem Stat SU, Stockholm
    • Svensson Å, Scalia-Tomba G (2001) Competing epidemics in closed populations. Research report/Mathematical Statistics, Stockholm University, 2001: 8. Mathem Stat SU, Stockholm.
    • (2001) Competing epidemics in closed populations
    • Svensson, A.1    Scalia-Tomba, G.2
  • 40
    • 84855934158 scopus 로고    scopus 로고
    • UK census data
    • UK census data (2001) http://www. ons. gov. uk/census/.
    • (2001)
  • 41
    • 84855934152 scopus 로고    scopus 로고
    • UK National Statistics
    • UK National Statistics (2005) http://www. statistics. gov. uk/STATBASE/ssdataset. asp?vlnk=9390.
    • (2005)
  • 43
    • 34249951995 scopus 로고    scopus 로고
    • How generation intervals shape the relationship between growth rates and reproductive numbers
    • Wallinga J, Lipsitch M (2007) How generation intervals shape the relationship between growth rates and reproductive numbers. Proc R Soc B: Biol Sci 274(1609): 599-604.
    • (2007) Proc R Soc B: Biol Sci , vol.274 , Issue.1609 , pp. 599-604
    • Wallinga, J.1    Lipsitch, M.2
  • 44
    • 33749039988 scopus 로고    scopus 로고
    • Reducing the impact of the next influenza pandemic using household-based public health interventions
    • Wu JT, Riley S, Fraser C, Leung GM (2006) Reducing the impact of the next influenza pandemic using household-based public health interventions. PLoS Med 3(9): 1532-1540.
    • (2006) PLoS Med , vol.3 , Issue.9 , pp. 1532-1540
    • Wu, J.T.1    Riley, S.2    Fraser, C.3    Leung, G.M.4
  • 45
    • 4143075752 scopus 로고    scopus 로고
    • Measles metapopulation dynamics: a gravity model for epidemiological coupling and dynamics
    • Xia Y, Bjørnstad ON, Grenfell BT (2004) Measles metapopulation dynamics: a gravity model for epidemiological coupling and dynamics. Am Nat 164(2): 267-281.
    • (2004) Am Nat , vol.164 , Issue.2 , pp. 267-281
    • Xia, Y.1    Bjørnstad, O.N.2    Grenfell, B.T.3


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