-
2
-
-
0018869039
-
On the spread of a disease with gamma distributed latent and infectious periods
-
Anderson D, Watson R (1980) On the spread of a disease with gamma distributed latent and infectious periods. Biometrika 67:191–198
-
(1980)
Biometrika
, vol.67
, pp. 191-198
-
-
Anderson, D.1
Watson, R.2
-
3
-
-
80255127568
-
The final size of an epidemic and its relation to the basic reproduction number
-
Andreasen V (2011) The final size of an epidemic and its relation to the basic reproduction number. Bull Math Biol 73:2305–2321
-
(2011)
Bull Math Biol
, vol.73
, pp. 2305-2321
-
-
Andreasen, V.1
-
4
-
-
0003211440
-
A statistical method of estimating the periods of incubation and infection of an infectious disease
-
Bailey NTJ (1954) A statistical method of estimating the periods of incubation and infection of an infectious disease. Nature 174:139–140
-
(1954)
Nature
, vol.174
, pp. 139-140
-
-
Bailey, N.T.J.1
-
5
-
-
34948820617
-
When individual behaviour matters: homogeneous and network models in epidemiology
-
Bansal S, Grenfell BT, Ancel Meyers L (2007) When individual behaviour matters: homogeneous and network models in epidemiology. J R Soc Interface 4:879–891
-
(2007)
J R Soc Interface
, vol.4
, pp. 879-891
-
-
Bansal, S.1
Grenfell, B.T.2
Ancel Meyers, L.3
-
6
-
-
27844523013
-
Dynamically modeling SARS and other newly emerging respiratory illnesses: past, present, and future
-
Bauch CT, Lloyd-Smith JO, Coffee MP, Galvani AP (2005) Dynamically modeling SARS and other newly emerging respiratory illnesses: past, present, and future. Epidemiology 16:791–801
-
(2005)
Epidemiology
, vol.16
, pp. 791-801
-
-
Bauch, C.T.1
Lloyd-Smith, J.O.2
Coffee, M.P.3
Galvani, A.P.4
-
7
-
-
84919754861
-
Computation of epidemic final size distributions
-
Black AJ, Ross JV (2015) Computation of epidemic final size distributions. J Theor Biol 367:159–165
-
(2015)
J Theor Biol
, vol.367
, pp. 159-165
-
-
Black, A.J.1
Ross, J.V.2
-
8
-
-
77951210926
-
Stability and bifurcations in an epidemic model with varying immunity period
-
Blyuss KB, Kyrychko YN (2010) Stability and bifurcations in an epidemic model with varying immunity period. Bull Math Biol 72:490–505
-
(2010)
Bull Math Biol
, vol.72
, pp. 490-505
-
-
Blyuss, K.B.1
Kyrychko, Y.N.2
-
9
-
-
31344474880
-
Complex networks: structure and dynamics
-
Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D-U (2006) Complex networks: structure and dynamics. Phys Rep 424:175–308
-
(2006)
Phys Rep
, vol.424
, pp. 175-308
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.-U.5
-
10
-
-
43649085116
-
Signatures of non-homogeneous mixing in disease outbreaks
-
Burr TL, Chowell G (2008) Signatures of non-homogeneous mixing in disease outbreaks. Math Comput Model 48:122–140
-
(2008)
Math Comput Model
, vol.48
, pp. 122-140
-
-
Burr, T.L.1
Chowell, G.2
-
11
-
-
7944235308
-
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 23:3469–3487
-
(2004)
Stat Med
, vol.23
, pp. 3469-3487
-
-
Cauchemez, S.1
Carrat, F.2
Viboud, C.3
Valleron, A.J.4
Boelle, P.Y.5
-
12
-
-
16244366864
-
Stochastic modeling of nonlinear epidemiology
-
Chen W-Y, Bokka S (2005) Stochastic modeling of nonlinear epidemiology. J Theor Biol 234:455–470
-
(2005)
J Theor Biol
, vol.234
, pp. 455-470
-
-
Chen, W.-Y.1
Bokka, S.2
-
13
-
-
84964315701
-
Transmission dynamics and control of Ebola virus disease (EVD): a review
-
Chowell G, Nishiura H (2014) Transmission dynamics and control of Ebola virus disease (EVD): a review. BMC Med 12:196
-
(2014)
BMC Med
, vol.12
, pp. 196
-
-
Chowell, G.1
Nishiura, H.2
-
16
-
-
0032392720
-
A deterministic epidemic model taking account of repeated contacts between the same individuals
-
Diekmann O, De Jong MCM, Metz JAJ (1998) A deterministic epidemic model taking account of repeated contacts between the same individuals. J Appl Probab 35:448–462
-
(1998)
J Appl Probab
, vol.35
, pp. 448-462
-
-
Diekmann, O.1
De Jong, M.C.M.2
Metz, J.A.J.3
-
18
-
-
0038024613
-
Epidemiological determinants of spread of causal agent of severe acute respiratory syndrome in Hong Kong
-
Donnelly CA, Ghani AC, Leung GM, Hedley AJ, Fraser C et al (2003) Epidemiological determinants of spread of causal agent of severe acute respiratory syndrome in Hong Kong. Lancet 361:1761–1766
-
(2003)
Lancet
, vol.361
, pp. 1761-1766
-
-
Donnelly, C.A.1
Ghani, A.C.2
Leung, G.M.3
Hedley, A.J.4
Fraser, C.5
-
20
-
-
0345830673
-
Contact tracing and disease control
-
Eames KTD, Keeling MJ (2003) Contact tracing and disease control. Proc R Soc Lond B 270:2565–2571
-
(2003)
Proc R Soc Lond B
, vol.270
, pp. 2565-2571
-
-
Eames, K.T.D.1
Keeling, M.J.2
-
21
-
-
37849013474
-
Modelling disease spread through random and regular contacts in clustered populations
-
Eames KTD (2008) Modelling disease spread through random and regular contacts in clustered populations. Theor Popul Biol 73:104–111
-
(2008)
Theor Popul Biol
, vol.73
, pp. 104-111
-
-
Eames, K.T.D.1
-
22
-
-
38349028870
-
Final and peak epidemic sizes for SEIR models with quarantine and isolation
-
Feng Z (2007) Final and peak epidemic sizes for SEIR models with quarantine and isolation. Math Biosci Eng 4:675–686
-
(2007)
Math Biosci Eng
, vol.4
, pp. 675-686
-
-
Feng, Z.1
-
23
-
-
33745836878
-
Strategies for mitigating an influenza pandemic
-
Ferguson NM, Cummings DAT, Fraser C, Cajka JC, Cooley PC, Burke DS (2006) Strategies for mitigating an influenza pandemic. Nature 442:448–452
-
(2006)
Nature
, vol.442
, pp. 448-452
-
-
Ferguson, N.M.1
Cummings, D.A.T.2
Fraser, C.3
Cajka, J.C.4
Cooley, P.C.5
Burke, D.S.6
-
24
-
-
0142246450
-
Planning for smallpox outbreaks
-
Ferguson NM, Keeling MJ, Edmunds WJ, Gani R, Grenfell BT, Anderson RM, Leach S (2003) Planning for smallpox outbreaks. Nature 425:681–685
-
(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
-
26
-
-
33645429016
-
Exact stochastic simulation of coupled chemical reactions
-
Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. J Phys Chem 81:2340–2361
-
(1977)
J Phys Chem
, vol.81
, pp. 2340-2361
-
-
Gillespie, D.T.1
-
27
-
-
0018856876
-
Integral equation models for endemic infectious diseases
-
Hethcote HW, Tudor DW (1980) Integral equation models for endemic infectious diseases. J Math Biol 9:37–47
-
(1980)
J Math Biol
, vol.9
, pp. 37-47
-
-
Hethcote, H.W.1
Tudor, D.W.2
-
28
-
-
50449154711
-
Infectiousness of communicable diseases in the household (measles, chickenpox, and mumps)
-
Hope-Simpson RE (1952) Infectiousness of communicable diseases in the household (measles, chickenpox, and mumps). Lancet 260:549–554
-
(1952)
Lancet
, vol.260
, pp. 549-554
-
-
Hope-Simpson, R.E.1
-
29
-
-
78650846890
-
Insights from unifying modern approximations to infections on networks
-
House T, Keeling MJ (2011a) Insights from unifying modern approximations to infections on networks. J R Soc Interface 8:67–73
-
(2011)
J R Soc Interface
, vol.8
, pp. 67-73
-
-
House, T.1
Keeling, M.J.2
-
30
-
-
78650398534
-
Epidemic prediction and control in clustered populations
-
House T, Keeling MJ (2011b) Epidemic prediction and control in clustered populations. J Theor Biol 272:1–7
-
(2011)
J Theor Biol
, vol.272
, pp. 1-7
-
-
House, T.1
Keeling, M.J.2
-
31
-
-
84872358666
-
How big is an outbreak likely to be? Methods for epidemic final size calculation
-
House T, Ross JV, Sirl D (2013) How big is an outbreak likely to be? Methods for epidemic final size calculation. Proc R Soc A 469:20120436
-
(2013)
Proc R Soc A
, vol.469
, pp. 20120436
-
-
House, T.1
Ross, J.V.2
Sirl, D.3
-
32
-
-
0033073528
-
The differential infectivity and staged progression models for the transmission of HIV
-
Hyman JM, Li J, Stanley EA (1999) The differential infectivity and staged progression models for the transmission of HIV. Math Biosci 155:77–109
-
(1999)
Math Biosci
, vol.155
, pp. 77-109
-
-
Hyman, J.M.1
Li, J.2
Stanley, E.A.3
-
33
-
-
0036677591
-
Emergency response to a smallpox attack: the case for mass vaccination
-
Kaplan EH, Craft DK, Wein LM (2002) Emergency response to a smallpox attack: the case for mass vaccination. Proc Natl Acad Sci 99:10935–10940
-
(2002)
Proc Natl Acad Sci
, vol.99
, pp. 10935-10940
-
-
Kaplan, E.H.1
Craft, D.K.2
Wein, L.M.3
-
34
-
-
0033594451
-
The effects of local spatial structure on epidemiological invasions
-
Keeling MJ (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.J.1
-
36
-
-
0031015249
-
Disease extinction and community size: modeling the persistence of measles
-
Keeling MJ, Grenfell BT (1997) Disease extinction and community size: modeling the persistence of measles. Science 275:65–67
-
(1997)
Science
, vol.275
, pp. 65-67
-
-
Keeling, M.J.1
Grenfell, B.T.2
-
37
-
-
53149094352
-
Understanding the persistence of measles: reconciling theory, simulation and observation
-
Keeling MJ, Grenfell BT (2002) Understanding the persistence of measles: reconciling theory, simulation and observation. Proc R Soc B 269:335–343
-
(2002)
Proc R Soc B
, vol.269
, pp. 335-343
-
-
Keeling, M.J.1
Grenfell, B.T.2
-
39
-
-
34848857029
-
Second look at the spread of epidemics on networks
-
Kenah E, Robins JM (2007) Second look at the spread of epidemics on networks. Phys Rev E 76:036113
-
(2007)
Phys Rev E
, vol.76
, pp. 036113
-
-
Kenah, E.1
Robins, J.M.2
-
40
-
-
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
-
41
-
-
0018080086
-
Urban hospital and rural village smallpox in Bangladesh
-
Koplan JP, Azizullah M, Foster SO (1978) Urban hospital and rural village smallpox in Bangladesh. Trop Geogr Med 30:355–358
-
(1978)
Trop Geogr Med
, vol.30
, pp. 355-358
-
-
Koplan, J.P.1
Azizullah, M.2
Foster, S.O.3
-
42
-
-
0034799244
-
Realistic distributions of infectious periods in epidemic models: changing patterns of persistence and dynamics
-
Lloyd AL (2000) Realistic distributions of infectious periods in epidemic models: changing patterns of persistence and dynamics. Theor Popul Biol 60:59–71
-
(2000)
Theor Popul Biol
, vol.60
, pp. 59-71
-
-
Lloyd, A.L.1
-
43
-
-
0035820841
-
Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods
-
Lloyd AL (2001) Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods. Proc R Soc B 268:985–993
-
(2001)
Proc R Soc B
, vol.268
, pp. 985-993
-
-
Lloyd, A.L.1
-
44
-
-
33746581986
-
Generality of the final size formula for an epidemic of a newly invading infectious disease
-
Ma J, Earn DJD (2006) Generality of the final size formula for an epidemic of a newly invading infectious disease. Bull Math Biol 68:679–702
-
(2006)
Bull Math Biol
, vol.68
, pp. 679-702
-
-
Ma, J.1
Earn, D.J.D.2
-
47
-
-
84864775325
-
A note on the derivation of epidemic final sizes
-
Miller JC (2012) A note on the derivation of epidemic final sizes. Bull Math Biol 74:2125–2141
-
(2012)
Bull Math Biol
, vol.74
, pp. 2125-2141
-
-
Miller, J.C.1
-
48
-
-
41349106348
-
Spread of epidemic disease on networks
-
Newman MEJ (2002) Spread of epidemic disease on networks. Phys Rev E 66:016128
-
(2002)
Phys Rev E
, vol.66
, pp. 016128
-
-
Newman, M.E.J.1
-
49
-
-
0038718854
-
The structure and function of complex networks
-
Newman M (2003) The structure and function of complex networks. SIAM Rev 45:167–256
-
(2003)
SIAM Rev
, vol.45
, pp. 167-256
-
-
Newman, M.1
-
51
-
-
39149109571
-
Noise, nonlinearity and seasonality: the epidemics of whooping cough revisited
-
Nguyen HTH, Rohani P (2008) Noise, nonlinearity and seasonality: the epidemics of whooping cough revisited. J R Soc Interface 5:403–413
-
(2008)
J R Soc Interface
, vol.5
, pp. 403-413
-
-
Nguyen, H.T.H.1
Rohani, P.2
-
53
-
-
84874116296
-
A class of pairwise models for epidemic dynamics on weighted networks
-
Rattana P, Blyuss KB, Eames KTD, Kiss IZ (2013) A class of pairwise models for epidemic dynamics on weighted networks. Bull Math Biol 75:466–490
-
(2013)
Bull Math Biol
, vol.75
, pp. 466-490
-
-
Rattana, P.1
Blyuss, K.B.2
Eames, K.T.D.3
Kiss, I.Z.4
-
54
-
-
12444260277
-
Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions
-
Riley S, Fraser C, Donnelly CA et al (2003) Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions. Science 300:1961–1966
-
(2003)
Science
, vol.300
, pp. 1961-1966
-
-
Riley, S.1
Fraser, C.2
Donnelly, C.A.3
-
55
-
-
33745436730
-
Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
-
Sharkey K, Fernandez C, Morgan K et al (2006) Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks. J Math Biol 53:61–85
-
(2006)
J Math Biol
, vol.53
, pp. 61-85
-
-
Sharkey, K.1
Fernandez, C.2
Morgan, K.3
-
56
-
-
84859631507
-
From Markovian to pairwise epidemic models and the performance of moment closure approximations
-
Taylor M, Simon PL, Green DM, House T, Kiss IZ (2012) From Markovian to pairwise epidemic models and the performance of moment closure approximations. J Math Biol 64:1021–1042
-
(2012)
J Math Biol
, vol.64
, pp. 1021-1042
-
-
Taylor, M.1
Simon, P.L.2
Green, D.M.3
House, T.4
Kiss, I.Z.5
-
57
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29–48
-
(2002)
Math Biosci
, vol.180
, pp. 29-48
-
-
van den Driessche, P.1
Watmough, J.2
-
58
-
-
33747589306
-
Appropriate models for the management of infectious diseases
-
Wearing HJ, Rohani P, Keeling MJ (2005) Appropriate models for the management of infectious diseases. PLoS Med 2:e174
-
(2005)
PLoS Med
, vol.2
, pp. 174
-
-
Wearing, H.J.1
Rohani, P.2
Keeling, M.J.3
|