-
1
-
-
0000998185
-
A contribution to the mathematical theory of epidemics
-
Kermack W, McKendrick A (1927) A contribution to the mathematical theory of epidemics. Proc R Soc Lond A 115: 700-721.
-
(1927)
Proc R Soc Lond A
, vol.115
, pp. 700-721
-
-
Kermack, W.1
McKendrick, A.2
-
4
-
-
0001892427
-
Deterministic and stochastic models for recurrent epidemics
-
Bartlett M (1956) Deterministic and stochastic models for recurrent epidemics. Proc 3rd Berkeley Symp Math Statist Probab 4: 81-109.
-
(1956)
Proc 3rd Berkeley Symp Math Statist Probab
, vol.4
, pp. 81-109
-
-
Bartlett, M.1
-
8
-
-
0029175104
-
Susceptible-infectious-recovered epidemic models with dynamic partnerships
-
Altmann M (1995) Susceptible-infectious-recovered epidemic models with dynamic partnerships. J Math Biol 33: 661-675.
-
(1995)
J Math Biol
, vol.33
, pp. 661-675
-
-
Altmann, M.1
-
9
-
-
0030823785
-
Correlation models for childhood epidemics
-
Keeling M, Rand D, Morris A (1997) Correlation models for childhood epidemics. Proc R Soc Lond B 264: 1149-1156.
-
(1997)
Proc R Soc Lond B
, vol.264
, pp. 1149-1156
-
-
Keeling, M.1
Rand, D.2
Morris, A.3
-
11
-
-
0033594451
-
The effects of local spatial structure on epidemiological invasions
-
Keeling M (1999) The effects of local spatial structure on epidemiological invasions. Proc R Soc Lond B 266: 859-867.
-
(1999)
Proc R Soc Lond B
, vol.266
, pp. 859-867
-
-
Keeling, M.1
-
12
-
-
0033055672
-
Network structural dynamics and infectious disease propagation
-
Potterat J, Rothenberg R, Muth S (1999) Network structural dynamics and infectious disease propagation. Int J STD AIDS 10: 182-185.
-
(1999)
Int J STD AIDS
, vol.10
, pp. 182-185
-
-
Potterat, J.1
Rothenberg, R.2
Muth, S.3
-
13
-
-
0035152033
-
Networks and pathogens
-
Klovdahl A (2001) Networks and pathogens. Sex Transm Dis 28: 25-28.
-
(2001)
Sex Transm Dis
, vol.28
, pp. 25-28
-
-
Klovdahl, A.1
-
16
-
-
31344474880
-
Complex networks: Structure and dynamics
-
Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang DU (2006) Complex networks: Structure and dynamics. Physics Reports 424: 175-308.
-
(2006)
Physics Reports
, vol.424
, pp. 175-308
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.U.5
-
17
-
-
68149175051
-
Integrating stochasticity and network structure into an epidemic model
-
Dangerfield C, Ross J, Keeling M (2009) Integrating stochasticity and network structure into an epidemic model. J Roy Soc Interface 6: 761-774.
-
(2009)
J Roy Soc Interface
, vol.6
, pp. 761-774
-
-
Dangerfield, C.1
Ross, J.2
Keeling, M.3
-
18
-
-
0000943691
-
A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemics models
-
Ball F (1986) A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemics models. Adv App Prob 18: 289-310.
-
(1986)
Adv App Prob
, vol.18
, pp. 289-310
-
-
Ball, F.1
-
19
-
-
0026055447
-
A generalized stochastic model for the analysis of infectious disease final size data
-
Addy C, Longini Jr. I, Haber M (1991) A generalized stochastic model for the analysis of infectious disease final size data. Biometrics 47: 961-974.
-
(1991)
Biometrics
, vol.47
, pp. 961-974
-
-
Addy, C.1
Longini Jr., I.2
Haber, M.3
-
20
-
-
0029054589
-
The effect of household distribution on transmission and control of highly infectious diseases
-
Becker N, 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.1
Dietz, K.2
-
22
-
-
0036846225
-
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
-
23
-
-
20444420879
-
Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations
-
Cross P, Lloyd-Smith J, Johnson P, Getz W (2005) Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations. Ecol Lett 8: 587-595.
-
(2005)
Ecol Lett
, vol.8
, pp. 587-595
-
-
Cross, P.1
Lloyd-Smith, J.2
Johnson, P.3
Getz, W.4
-
25
-
-
42649103642
-
Deterministic epidemic models with explicit household structure
-
House T, Keeling M (2008) Deterministic epidemic models with explicit household structure. Math Biosci 213: 29-39.
-
(2008)
Math Biosci
, vol.213
, pp. 29-39
-
-
House, T.1
Keeling, M.2
-
26
-
-
74749095540
-
Threshold behaviour and final outcome of an epidemic on a random network with household structure
-
Ball F, Sirl D, Trapman P (2009) Threshold behaviour and final outcome of an epidemic on a random network with household structure. Adv App Prob 41: 765-796.
-
(2009)
Adv App Prob
, vol.41
, pp. 765-796
-
-
Ball, F.1
Sirl, D.2
Trapman, P.3
-
27
-
-
33745836878
-
Strategies for mitigating an influenza pandemic
-
Ferguson N, Cummings D, Fraser C, Cajka J, Cooley P, et al. (2006) Strategies for mitigating an influenza pandemic. Nature 442: 448-452.
-
(2006)
Nature
, vol.442
, pp. 448-452
-
-
Ferguson, N.1
Cummings, D.2
Fraser, C.3
Cajka, J.4
Cooley, P.5
-
28
-
-
70349778708
-
Threshold parameters for a model of epidemic spread among households and workplaces
-
Pellis L, Ferguson N, Fraser C (2009) Threshold parameters for a model of epidemic spread among households and workplaces. J R Soc Interface 40: 979-987.
-
(2009)
J R Soc Interface
, vol.40
, pp. 979-987
-
-
Pellis, L.1
Ferguson, N.2
Fraser, C.3
-
29
-
-
6344221308
-
Forecast and control of epidemics in a globalized world
-
Hufnagel L, Brockmann D, Geisel T (2004) Forecast and control of epidemics in a globalized world. PNAS 101: 15124-15129.
-
(2004)
PNAS
, vol.101
, pp. 15124-15129
-
-
Hufnagel, L.1
Brockmann, D.2
Geisel, T.3
-
30
-
-
33747053644
-
Demographic structure and pathogen dynamics on the network of livestock movements in great britain
-
Kao R, Danon L, Green D, Kiss I (2006) Demographic structure and pathogen dynamics on the network of livestock movements in great britain. Proc R Soc Lond B 273: 1999-2007.
-
(2006)
Proc R Soc Lond B
, vol.273
, pp. 1999-2007
-
-
Kao, R.1
Danon, L.2
Green, D.3
Kiss, I.4
-
31
-
-
34547638284
-
Recent network evolution increases the potential for large epidemics in the british cattle population
-
Robinson S, Everett M, Christley R (2007) Recent network evolution increases the potential for large epidemics in the british cattle population. JRS Interface 4: 669-674.
-
(2007)
JRS Interface
, vol.4
, pp. 669-674
-
-
Robinson, S.1
Everett, M.2
Christley, R.3
-
32
-
-
0031986262
-
The effect of community structure on the immunity coverage required to prevent epidemics
-
Becker N, Utev S (1998) The effect of community structure on the immunity coverage required to prevent epidemics. Math Biosci 147: 23-39.
-
(1998)
Math Biosci
, vol.147
, pp. 23-39
-
-
Becker, N.1
Utev, S.2
-
33
-
-
39049108853
-
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: e758.
-
(2007)
PLoS ONE
, vol.2
-
-
Fraser, C.1
-
34
-
-
33749039988
-
Reducing the impact of the next influenza pandemic using household-based public health interventions
-
Wu J, Riley S, Fraser C, Leung G (2006) Reducing the impact of the next influenza pandemic using household-based public health interventions. PLoS Med 3: e361.
-
(2006)
PLoS Med
, vol.3
-
-
Wu, J.1
Riley, S.2
Fraser, C.3
Leung, G.4
-
35
-
-
65549096310
-
Household structure and infectious disease transmission
-
House T, Keeling M (2008) Household structure and infectious disease transmission. Epidemiol Infect 137: 654-661.
-
(2008)
Epidemiol Infect
, vol.137
, pp. 654-661
-
-
House, T.1
Keeling, M.2
-
36
-
-
0032896314
-
Stochastic and deterministic models for sis epidemics among a population partitioned into households
-
Ball F (1999) Stochastic and deterministic models for sis epidemics among a population partitioned into households. Math Biosci 156: 41-67.
-
(1999)
Math Biosci
, vol.156
, pp. 41-67
-
-
Ball, F.1
-
37
-
-
0035271942
-
Stochastic multitype sir epidemics among a population partitioned into households
-
Ball F, Lyne O (2001) Stochastic multitype sir epidemics among a population partitioned into households. Adv App Prob 33: 99-123.
-
(2001)
Adv App Prob
, vol.33
, pp. 99-123
-
-
Ball, F.1
Lyne, O.2
-
38
-
-
0036846550
-
Stochastic effects on endemic infection levels of disseminating versus local contacts
-
Koopman J, Chick S, Simon C, Riolo C, Jacquez G (2002) Stochastic effects on endemic infection levels of disseminating versus local contacts. Math Biosci 180: 49-71.
-
(2002)
Math Biosci
, vol.180
, pp. 49-71
-
-
Koopman, J.1
Chick, S.2
Simon, C.3
Riolo, C.4
Jacquez, G.5
-
39
-
-
53149094352
-
Understanding the persistence of measles: Reconciling theory, simulation and observation
-
Keeling M, Grenfell B (2002) Understanding the persistence of measles: reconciling theory, simulation and observation. Proc R Soc Lond B 269: 335-343.
-
(2002)
Proc R Soc Lond B
, vol.269
, pp. 335-343
-
-
Keeling, M.1
Grenfell, B.2
-
40
-
-
64549118200
-
On parameter estimation in population models ii: Multi-dimensional processes and transient dynamics
-
Ross J, Pagendam D, Pollett P (2009) On parameter estimation in population models ii: multi-dimensional processes and transient dynamics. Theor Pop Biol 75: 123-132.
-
(2009)
Theor Pop Biol
, vol.75
, pp. 123-132
-
-
Ross, J.1
Pagendam, D.2
Pollett, P.3
-
41
-
-
0003781238
-
-
Cambridge: Cambridge University Press
-
Norris J (1997) Markov chains. Cambridge: Cambridge University Press.
-
(1997)
Markov chains
-
-
Norris, J.1
-
42
-
-
0037003541
-
Path integrals for continuous-time markov chains
-
Pollett P, Stefanov V (2002) Path integrals for continuous-time markov chains. J App Prob 39: 901-904.
-
(2002)
J App Prob
, vol.39
, pp. 901-904
-
-
Pollett, P.1
Stefanov, V.2
-
43
-
-
0037376826
-
Integrals for continuous-time markov chains
-
Pollett P (2003) Integrals for continuous-time markov chains. Math Biosci 182: 213-225.
-
(2003)
Math Biosci
, vol.182
, pp. 213-225
-
-
Pollett, P.1
-
44
-
-
0000162773
-
The distribution of the total size of an epidemic
-
Daniels H (1967) The distribution of the total size of an epidemic. Proc 5th Berkeley Symp Math Statist Prob 4: 281-293.
-
(1967)
Proc 5th Berkeley Symp Math Statist Prob
, vol.4
, pp. 281-293
-
-
Daniels, H.1
-
45
-
-
68849101420
-
Reproductive numbers, epidemic spread and control in a community of households
-
Goldstein E, Paur K, Fraser C, Kenah E, Wallinga J, et al. (2009) Reproductive numbers, epidemic spread and control in a community of households. Math Biosci 221: 11-25.
-
(2009)
Math Biosci
, vol.221
, pp. 11-25
-
-
Goldstein, E.1
Paur, K.2
Fraser, C.3
Kenah, E.4
Wallinga, J.5
-
46
-
-
2542426854
-
Sis epidemics with household structure: The self-consistent field method
-
Ghoshal G, Sander L, Sokolov I (2004) Sis epidemics with household structure: the self-consistent field method. Math Biosci 190: 71-85.
-
(2004)
Math Biosci
, vol.190
, pp. 71-85
-
-
Ghoshal, G.1
Sander, L.2
Sokolov, I.3
-
47
-
-
0002232633
-
Solutions of ordinary differential equations as limits of pure jump markov processes
-
Kurtz T (1970) Solutions of ordinary differential equations as limits of pure jump markov processes. Journal of Applied Probability 7: 49-58.
-
(1970)
Journal of Applied Probability
, vol.7
, pp. 49-58
-
-
Kurtz, T.1
-
48
-
-
37249009073
-
On methods for studying stochastic disease dynamics
-
Keeling M, Ross J (2008) On methods for studying stochastic disease dynamics. J Roy Soc Interface 5: 171-181.
-
(2008)
J Roy Soc Interface
, vol.5
, pp. 171-181
-
-
Keeling, M.1
Ross, J.2
-
49
-
-
0019948714
-
Estimating household and community transmission parameters for influenza
-
Longini Jr. I, Koopman J, Monto A, Fox J (1982) Estimating household and community transmission parameters for influenza. Am J Epi 115: 736-751.
-
(1982)
Am J Epi
, vol.115
, pp. 736-751
-
-
Longini Jr., I.1
Koopman, J.2
Monto, A.3
Fox, J.4
-
50
-
-
27844455994
-
Superspreading and the effect of individual variation on disease emergence
-
Lloyd-Smith J, Schreiber S, Kopp P, Getz W (2005) Superspreading and the effect of individual variation on disease emergence. Nature 438: 355-359.
-
(2005)
Nature
, vol.438
, pp. 355-359
-
-
Lloyd-Smith, J.1
Schreiber, S.2
Kopp, P.3
Getz, W.4
-
51
-
-
33947416214
-
An event-based model of superspreading in epidemics
-
James A, Pitchford J, Plank M (2007) An event-based model of superspreading in epidemics. Proc R Soc Lond B 274: 741-747.
-
(2007)
Proc R Soc Lond B
, vol.274
, pp. 741-747
-
-
James, A.1
Pitchford, J.2
Plank, M.3
|