-
1
-
-
19444377478
-
An integral equation model for the control of a smallpox outbreak
-
doi:10.1016/ j.mbs.2005.01.006
-
Aldis, G. K. 2005 An integral equation model for the control of a smallpox outbreak. Math. Biosci. 195, 1. (doi:10.1016/ j.mbs.2005.01.006)
-
(2005)
Math. Biosci.
, vol.195
, pp. 1
-
-
Aldis, G.K.1
-
3
-
-
0011481308
-
Stochastic epidemic models and their statistical analysis
-
New York, NY; London, UK: Springer
-
Andersson, H. & Britton, T. 2000 Stochastic epidemic models and their statistical analysis. Lecture Notes in Statistics, vol.151. New York, NY; London, UK: Springer.
-
(2000)
Lecture Notes in Statistics
, vol.151
-
-
Andersson, H.1
Britton, T.2
-
5
-
-
0020763656
-
The threshold behaviour of epidemic models
-
doi:10.2307/3213797
-
Ball, F. G. 1983 The threshold behaviour of epidemic models. J. Appl. Probab. 20, 227. (doi:10.2307/3213797)
-
(1983)
J. Appl. Probab.
, vol.20
, pp. 227
-
-
Ball, F.G.1
-
6
-
-
0000943691
-
A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
-
doi:10. 2307/1427301
-
Ball, F. G. 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, 289-310. (doi:10. 2307/1427301)
-
(1986)
Adv. Appl. Probab.
, vol.18
, pp. 289-310
-
-
Ball, F.G.1
-
7
-
-
0036234547
-
Optimal vaccination policies for stochastic epidemics among a population of households
-
doi:10.1016/ S0025-5564(01)00095-5
-
Ball, F. G. & Lyne, O. D. 2002 Optimal vaccination policies for stochastic epidemics among a population of households. Math. Biosci. 177, 333-354. (doi:10.1016/ S0025-5564(01)00095-5)
-
(2002)
Math. Biosci.
, vol.177
, pp. 333-354
-
-
Ball, F.G.1
Lyne, O.D.2
-
8
-
-
0036846225
-
A general model for stochastic SIR epidemics with two levels of mixing
-
doi:10.1016/S0025-5564(02)00125-6
-
Ball, F. G. & Neal, P. 2002 A general model for stochastic SIR epidemics with two levels of mixing. Math. Biosci. 180, 73-102. (doi:10.1016/S0025-5564(02)00125-6)
-
(2002)
Math. Biosci.
, vol.180
, pp. 73-102
-
-
Ball, F.G.1
Neal, P.2
-
9
-
-
39649125153
-
Network epidemic models with two levels of mixing
-
doi:10. 1016/j.mbs.2008.01.001
-
Ball, F. G. & Neal, P. 2008 Network epidemic models with two levels of mixing. Math. Biosci. 212, 69-87. (doi:10. 1016/j.mbs.2008.01.001)
-
(2008)
Math. Biosci.
, vol.212
, pp. 69-87
-
-
Ball, F.G.1
Neal, P.2
-
10
-
-
0031285152
-
Epidemics with two levels of mixing
-
doi:10.1214/aoap/1034625252
-
Ball, F. G., Mollison, D. & Scalia-Tomba, G. 1997 Epidemics with two levels of mixing. Ann. Appl. Probab. 7, 46-89. (doi:10.1214/aoap/1034625252)
-
(1997)
Ann. Appl. Probab.
, vol.7
, pp. 46-89
-
-
Ball, F.G.1
Mollison, D.2
Scalia-Tomba, G.3
-
11
-
-
4143068651
-
* and secure vaccination coverage
-
doi:10.1093/ biomet/91.2.345
-
* and secure vaccination coverage. Biometrika 91, 345-362. (doi:10.1093/ biomet/91.2.345)
-
(2004)
Biometrika
, vol.91
, pp. 345-362
-
-
Ball, F.G.1
Britton, T.2
Lyne, O.D.3
-
12
-
-
0001205620
-
On a certain model of an epidemic
-
Bartoszynski, R. 1972 On a certain model of an epidemic. Appl. Math. 13, 139-151.
-
(1972)
Appl. Math.
, vol.13
, pp. 139-151
-
-
Bartoszynski, R.1
-
13
-
-
0029054589
-
The effect of household distribution on transmission and control of highly infectious diseases
-
doi:10.1016/ 0025-5564(94)00055-5
-
Becker, N. G. & Dietz, K. 1995 The effect of household distribution on transmission and control of highly infectious diseases. Math. Biosci. 127, 207-219. (doi:10.1016/ 0025-5564(94)00055-5)
-
(1995)
Math. Biosci.
, vol.127
, pp. 207-219
-
-
Becker, N.G.1
Dietz, K.2
-
14
-
-
0000224842
-
Reproduction numbers and critical immunity levels for epidemics in a community of households
-
Athens Conf. on Applied Probability and TimeSeries, VolumeI:Applied Probability (eds C. C. Heyde, Yu. V. Prohorov, R. Pyke & S. T. Rachev). Berlin, Germany: Springer
-
Becker, N. G. & Dietz, K. 1996 Reproduction numbers and critical immunity levels for epidemics in a community of households. In Athens Conf. on Applied Probability and TimeSeries, VolumeI:Applied Probability (eds C. C. Heyde, Yu. V. Prohorov, R. Pyke & S. T. Rachev). Lecture Notes in Statistics, no.114, p. 267. Berlin, Germany: Springer.
-
(1996)
Lecture Notes in Statistics, No.114
, pp. 267
-
-
Becker, N.G.1
Dietz, K.2
-
15
-
-
0031568282
-
Optimal vaccination strategies for a community of households
-
doi:10.1016/S0025-5564(96)00139-3
-
Becker, N. G. & Starczak, D. N. 1997 Optimal vaccination strategies for a community of households. Math. Biosci. 139, 117. (doi:10.1016/S0025- 5564(96)00139-3)
-
(1997)
Math. Biosci.
, vol.139
, pp. 117
-
-
Becker, N.G.1
Starczak, D.N.2
-
16
-
-
0031986262
-
The effect of community structure on the immunity coverage required to prevent epidemics
-
doi:10.1016/S0025-5564(97)00079-5
-
Becker, N. G. & Utev, S. 1998 The effect of community structure on the immunity coverage required to prevent epidemics. Math. Biosci. 147, 23-39. (doi:10.1016/S0025-5564(97)00079-5)
-
(1998)
Math. Biosci.
, vol.147
, pp. 23-39
-
-
Becker, N.G.1
Utev, S.2
-
17
-
-
0029145891
-
Threshold parameters for epidemics in different community settings
-
doi:10. 1016/0025-5564(94)00061-4
-
Becker, N. G., Bahrampour, A. & Dietz, K. 1995 Threshold parameters for epidemics in different community settings. Math. Biosci. 129, 189-208. (doi:10. 1016/0025-5564(94)00061-4)
-
(1995)
Math. Biosci.
, vol.129
, pp. 189-208
-
-
Becker, N.G.1
Bahrampour, A.2
Dietz, K.3
-
18
-
-
14644431844
-
Controlling emerging infectious diseases like SARS
-
doi:10.1016/j.mbs.2004. 07.006
-
Becker, N. G., Glass, K., Li, Z. & Aldis, G. K. 2005 Controlling emerging infectious diseases like SARS. Math. Biosci. 193, 205 -221. (doi:10.1016/j.mbs.2004. 07.006)
-
(2005)
Math. Biosci.
, vol.193
, pp. 205-221
-
-
Becker, N.G.1
Glass, K.2
Li, Z.3
Aldis, G.K.4
-
19
-
-
42049099048
-
Estimating the impact of school closure on influenza transmission from Sentinel data
-
doi:10.1038/nature06732
-
Cauchemez, S., Valleron, A. J., Boelle, P. Y., Flahault, A. & Ferguson, N. M. 2008 Estimating the impact of school closure on influenza transmission from Sentinel data. Nature 452, 750-754. (doi:10.1038/nature06732)
-
(2008)
Nature
, vol.452
, pp. 750-754
-
-
Cauchemez, S.1
Valleron, A.J.2
Boelle, P.Y.3
Flahault, A.4
Ferguson, N.M.5
-
21
-
-
0030753597
-
Who mixes with whom? A method to determine the contact patterns of adults that may lead to the spread of airborne infections
-
doi:10.1098/ rspb.1997.0131
-
Edmunds, W. J., O'Callaghan, C. J. & Nokes, D. J. 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. B 264, 949-957. (doi:10.1098/ rspb.1997.0131)
-
(1997)
Proc. R. Soc. B
, vol.264
, pp. 949-957
-
-
Edmunds, W.J.1
O'Callaghan, C.J.2
Nokes, D.J.3
-
22
-
-
0015041832
-
Stochastic two-agent epidemic simulation models for a community of families
-
Elveback, L. R., Ackerman, E., Gatewood, L. & Fox, J. P. 1971 Stochastic two-agent epidemic simulation models for a community of families. Am. J. Epidemiol. 93, 267-280.
-
(1971)
Am. J. Epidemiol.
, vol.93
, pp. 267-280
-
-
Elveback, L.R.1
Ackerman, E.2
Gatewood, L.3
Fox, J.P.4
-
23
-
-
0017228974
-
An influenza simulation model for immunization studies
-
Elveback, L. R., Fox, J. P., Ackerman, E., Langworthy, A., Boyd, M. & Gatewood, L. 1976 An influenza simulation model for immunization studies. Am. J. Epidemiol. 103, 152-165.
-
(1976)
Am. J. Epidemiol.
, vol.103
, pp. 152-165
-
-
Elveback, L.R.1
Fox, J.P.2
Ackerman, E.3
Langworthy, A.4
Boyd, M.5
Gatewood, L.6
-
24
-
-
0142246450
-
Planning for smallpox outbreaks
-
doi:10.1038/nature02007
-
Ferguson, N. M., Keeling, M. J., Edmunds, W. J., Gani, R., Grenfell, B. T., Anderson, R. M. & Leach, S. 2003 Planning for smallpox outbreaks. Nature 425, 681-685. (doi:10.1038/nature02007)
-
(2003)
Nature
, vol.425
, pp. 681-685
-
-
Ferguson, N.M.1
Keeling, M.J.2
Edmunds, W.J.3
Gani, R.4
Grenfell, B.T.5
Anderson, R.M.6
Leach, S.7
-
25
-
-
23844436610
-
Strategies for containing an emerging influenza pandemic in Southeast Asia
-
DOI 10.1038/nature04017
-
Ferguson, N. M., Cummings, D. A. T., Cauchemez, S., Fraser, C., Riley, S., Meeyai, A., Iamsirithaworn, S. & Burke, D. S. 2005 Strategies for containing an emerging influenza pandemic in Southeast Asia. Nature 437, 209-214. (doi:10. 1038/nature04017) (Pubitemid 41294478)
-
(2005)
Nature
, vol.437
, Issue.7056
, pp. 209-214
-
-
Ferguson, N.M.1
Cummings, D.A.T.2
Cauchemez, S.3
Fraser, C.4
Riley, S.5
Meeyai, A.6
Iamsirithaworn, S.7
Burke, D.S.8
-
26
-
-
33745836878
-
Strategies for mitigating an influenza pandemic
-
doi:10.1038/nature04795
-
Ferguson, N. M., Cummings, D. A. T., Fraser, C., Cajka, J. C., Cooley, P. C. & Burke, D. S. 2006 Strategies for mitigating an influenza pandemic. Nature 442, 448. (doi:10.1038/nature04795)
-
(2006)
Nature
, vol.442
, pp. 448
-
-
Ferguson, N.M.1
Cummings, D.A.T.2
Fraser, C.3
Cajka, J.C.4
Cooley, P.C.5
Burke, D.S.6
-
27
-
-
39049108853
-
Estimating individual and household reproduction numbers in an emerging epidemic
-
doi:10.1371/journal.pone.0000758
-
Fraser, C. 2007 Estimating individual and household reproduction numbers in an emerging epidemic. PLoS ONE 2, e758. (doi:10.1371/journal.pone.0000758)
-
(2007)
PLoS ONE
, vol.2
-
-
Fraser, C.1
-
28
-
-
33645802797
-
Mitigation strategies for pandemic influenza in the United States
-
doi:10.1073/pnas.0601266103
-
Germann, T. C., Timothy, C., Kadau, K., Longini, I. M. & Macken, C. A. 2006 Mitigation strategies for pandemic influenza in the United States. Proc. Natl Acad. Sci. USA 103, 5935-5940. (doi:10.1073/pnas.0601266103)
-
(2006)
Proc. Natl Acad. Sci. USA
, vol.103
, pp. 5935-5940
-
-
Germann, T.C.1
Timothy, C.2
Kadau, K.3
Longini, I.M.4
Macken, C.A.5
-
29
-
-
44849101593
-
Mathematical models of infectious disease transmission
-
doi:10.1038/nrmicro1845
-
Grassly, N. C. & Fraser, C. 2008 Mathematical models of infectious disease transmission. Nat. Rev. Microbiol. 6, 477-487. (doi:10.1038/nrmicro1845)
-
(2008)
Nat. Rev. Microbiol.
, vol.6
, pp. 477-487
-
-
Grassly, N.C.1
Fraser, C.2
-
30
-
-
33847405628
-
The type-reproduction number T in models for infectious disease control
-
doi:10.1016/j.mbs.2004. 10.013
-
Heesterbeek, J. A. P. & Roberts, M. G. 2007 The type-reproduction number T in models for infectious disease control. Math. Biosci. 206, 3-10. (doi:10.1016/j.mbs.2004. 10.013)
-
(2007)
Math. Biosci.
, vol.206
, pp. 3-10
-
-
Heesterbeek, J.A.P.1
Roberts, M.G.2
-
31
-
-
0034486891
-
The mathematics of infectious diseases
-
doi:10.1137/S0036144 500371907
-
Hethcote, H. W. 2000 The mathematics of infectious diseases. SIAM Rev. 42, 599. (doi:10.1137/S0036144 500371907)
-
(2000)
SIAM Rev.
, vol.42
, pp. 599
-
-
Hethcote, H.W.1
-
32
-
-
65549096310
-
Household structure and infectious disease transmission
-
In press doi:10. 1017/S0950268808001416
-
House, T. & Keeling, M. J. In press. Household structure and infectious disease transmission. Epidemiol. Infect. (doi:10. 1017/S0950268808001416)
-
Epidemiol. Infect.
-
-
House, T.1
Keeling, M.J.2
-
33
-
-
0041526787
-
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) (Pubitemid 36962614)
-
(2003)
Science
, vol.301
, Issue.5634
, 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
-
34
-
-
0000998185
-
A contribution to the mathematical theory of epidemics
-
doi:10.1098/rspa.1927.0118
-
Kermack, W. O. & McKendrick, A. G. 1927 A contribution to the mathematical theory of epidemics. Proc. R. Soc. A 115, 700-721. (doi:10.1098/rspa.1927.0118)
-
(1927)
Proc. R. Soc. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
35
-
-
0019899273
-
Household and community transmission parameters from final distributions of infections in households
-
doi:10.2307/2530294
-
Longini, I. M. & Koopman, J. S. 1982 Household and community transmission parameters from final distributions of infections in households. Biometrics 38, 115-126. (doi:10.2307/2530294)
-
(1982)
Biometrics
, vol.38
, pp. 115-126
-
-
Longini, I.M.1
Koopman, J.S.2
-
36
-
-
1642462098
-
Containing pandemic influenza with antiviral agents
-
doi:10.1093/aje/kwh092
-
Longini, I. M., Halloran, M. E., Nizam, A. & Yang, Y. 2004 Containing pandemic influenza with antiviral agents. Am. J. Epidemiol. 159, 623. (doi:10.1093/aje/kwh092)
-
(2004)
Am. J. Epidemiol.
, vol.159
, pp. 623
-
-
Longini, I.M.1
Halloran, M.E.2
Nizam, A.3
Yang, Y.4
-
37
-
-
23644457957
-
Containing pandemic influenza at the source
-
doi:10.1126/science.1115717
-
Longini, I. M., Nizam, A., Xu, S., Ungchusak, K., Hanshaoworakul, W., Cummings, D. A. T. & Halloran, M. E. 2005 Containing pandemic influenza at the source. Science 309, 1083-1087. (doi:10.1126/science.1115717)
-
(2005)
Science
, vol.309
, pp. 1083-1087
-
-
Longini, I.M.1
Nizam, A.2
Xu, S.3
Ungchusak, K.4
Hanshaoworakul, W.5
Cummings, D.A.T.6
Halloran, M.E.7
-
38
-
-
0016636706
-
Final size distributions for epidemics
-
doi:10.1016/0025-5564(75)90119-4
-
Ludwig, D. 1975 Final size distributions for epidemics. Math. Biosci. 23, 33. (doi:10.1016/0025-5564(75)90119-4)
-
(1975)
Math. Biosci.
, vol.23
, pp. 33
-
-
Ludwig, D.1
-
39
-
-
41349106348
-
Spread of epidemic disease on networks
-
doi:10.1103/Phys-RevE.66.016128
-
Newman, M. E. J. 2002 Spread of epidemic disease on networks. Phys. Rev. E 66, 016 128. (doi:10.1103/Phys-RevE.66.016128)
-
(2002)
Phys. Rev. e
, vol.66
, pp. 016128
-
-
Newman, M.E.J.1
-
40
-
-
54249124424
-
The relationship between real-time and discrete-generation models of epidemic spread
-
doi:10.1016/ j.mbs.2008.08.009
-
Pellis, L., Ferguson, N. M. & Fraser, C. 2008 The relationship between real-time and discrete-generation models of epidemic spread. Math. Biosci. 216, 63-70. (doi:10.1016/ j.mbs.2008.08.009)
-
(2008)
Math. Biosci.
, vol.216
, pp. 63-70
-
-
Pellis, L.1
Ferguson, N.M.2
Fraser, C.3
-
41
-
-
33747591222
-
Smallpox transmission and control: Spatial dynamics in Great Britain
-
doi:10.1073/pnas. 0510873103
-
Riley, S. & Ferguson, N. M. 2006 Smallpox transmission and control: spatial dynamics in Great Britain. Proc. Natl Acad. Sci. USA 103, 12 637-12 642. (doi:10.1073/pnas. 0510873103)
-
(2006)
Proc. Natl Acad. Sci. USA
, vol.103
, pp. 12637-12642
-
-
Riley, S.1
Ferguson, N.M.2
-
42
-
-
16644400570
-
Modelling strategies for minimizing the impact of an imported exotic infection
-
doi:10.1098/rspb.2004.2865
-
Roberts, M. G. 2004 Modelling strategies for minimizing the impact of an imported exotic infection. Proc. R. Soc. B 271, 2411-2415. (doi:10.1098/rspb. 2004.2865)
-
(2004)
Proc. R. Soc. B
, vol.271
, pp. 2411-2415
-
-
Roberts, M.G.1
-
43
-
-
34047115331
-
A model for the spread and control of pandemic influenza in an isolated geographical region
-
doi:10.1098/rsif. 2006.0176
-
Roberts, M. G. 2007 A model for the spread and control of pandemic influenza in an isolated geographical region. J. R. Soc. Interface 4, 325-330. (doi:10.1098/rsif. 2006.0176)
-
(2007)
J. R. Soc. Interface
, vol.4
, pp. 325-330
-
-
Roberts, M.G.1
-
44
-
-
0037963623
-
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. 2003 A new method for estimating the effort required to control an infectious disease. Proc. R. Soc. B 270, 1359-1364. (doi:10.1098/ rspb.2003.2339)
-
(2003)
Proc. R. Soc. B
, vol.270
, pp. 1359-1364
-
-
Roberts, M.G.1
Heesterbeek, J.A.P.2
-
45
-
-
33749039988
-
Reducing the impact of the next influenza pandemic using household-based public health interventions
-
DOI 10.1371/journal.pmed.0030361
-
Wu, J. T., Riley, S., Fraser, C. & Leung, G. M. 2006 Reducing the impact of the next influenza pandemic using household-based public health interventions. PLoS Med. 3, 1532-1540. (doi:10.1371/journal.pmed.0030361) (Pubitemid 44455264)
-
(2006)
PLoS Medicine
, vol.3
, Issue.9
, pp. 1532-1540
-
-
Wu, J.T.1
Riley, S.2
Fraser, C.3
Leung, G.M.4
|