-
1
-
-
0003611945
-
-
Springer-Verlag, Berlin, Heidelrberg, New York
-
R. M. Anderson and R. M. May, "Population Biology of Infectious Diseases," Springer-Verlag, Berlin, Heidelrberg, New York, (1982).
-
(1982)
Population Biology of Infectious Diseases
-
-
Anderson, R.M.1
May, R.M.2
-
2
-
-
3042696403
-
Model parameters and outbreak control for SARS
-
G. Chowell, C. Castillo-Chavez, P. Fenimore, C. Kribs-Zaleta, L. Arriola and J. Hyman, Model parameters and outbreak control for SARS, EID, 10 (2004), 1258-1263.
-
(2004)
EID
, vol.10
, pp. 1258-1263
-
-
Chowell, G.1
Castillo-Chavez, C.2
Fenimore, P.3
Kribs-Zaleta, C.4
Arriola, L.5
Hyman, J.6
-
3
-
-
2642573296
-
The basic reproductive number of ebola and the effects of public health measures: The cases of Congo and Uganda
-
G. Chowell, N. W. Hengartner, C. Castillo-Chavez, P. W. Fenimore and J. M. Hyman, The basic reproductive number of ebola and the effects of public health measures: The cases of Congo and Uganda, Journal of Theoretical Biology, 1 (2004), 119-126.
-
(2004)
Journal of Theoretical Biology
, vol.1
, pp. 119-126
-
-
Chowell, G.1
Hengartner, N.W.2
Castillo-Chavez, C.3
Fenimore, P.W.4
Hyman, J.M.5
-
4
-
-
33645060223
-
When is quarantine a useful control strategy for emerging infectious diseases?
-
T. Day, A. Park, N. Madras, A.B. Gumel and J. Wu, When is quarantine a useful control strategy for emerging infectious diseases?, American Journal of Epidemiology, 163 (2006), 479-485.
-
(2006)
American Journal of Epidemiology
, vol.163
, pp. 479-485
-
-
Day, T.1
Park, A.2
Madras, N.3
Gumel, A.B.4
Wu, J.5
-
5
-
-
0025159677
-
On the definition and computation of the basic reproduction ratio R0 in models for infectious disease in heterogeneous population
-
O. Diekmann, J. A. P. Heesterbeek and J. A. J. Metz, On the definition and computation of the basic reproduction ratio R0 in models for infectious disease in heterogeneous population, J. Math. Biol., 28 (1990), 365-382.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 365-382
-
-
Diekmann, O.1
Heesterbeek, J.A.P.2
Metz, J.A.J.3
-
6
-
-
0038024613
-
Epidemiological determinants of spread of casual agnet of severe acute respiratory syndrome in Hong Kong
-
C. Donnelly et al., Epidemiological determinants of spread of casual agnet of severe acute respiratory syndrome in Hong Kong, Lancet, 361 (2003), 1761-1766.
-
(2003)
Lancet
, vol.361
, pp. 1761-1766
-
-
Donnelly, C.1
-
7
-
-
67549106637
-
Qualitative study of transmission dynamics of drugresistant malaria
-
L. Esteva, A. B. Gumel and C. Vargas, Qualitative study of transmission dynamics of drugresistant malaria, Math. Comput. Modelling, 50 (2009), 611-630.
-
(2009)
Math. Comput. Modelling
, vol.50
, pp. 611-630
-
-
Esteva, L.1
Gumel, A.B.2
Vargas, C.3
-
8
-
-
0033836618
-
Influence of vertical and mechanical transmission on the dynamics of dengue disease
-
L. Esteva and C. Vargas, Influence of vertical and mechanical transmission on the dynamics of dengue disease, Math. Biosci., 167 (2000), 51-64.
-
(2000)
Math. Biosci.
, vol.167
, pp. 51-64
-
-
Esteva, L.1
Vargas, C.2
-
9
-
-
34250697942
-
Epidemiological models with non-exponentially distributed disease stages and application to disease control
-
Z. Feng, D. Xu and H. Zhao, Epidemiological models with non-exponentially distributed disease stages and application to disease control, Bull. Math. Biol., 69 (2007), 1511-1536.
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 1511-1536
-
-
Feng, Z.1
Xu, D.2
Zhao, H.3
-
10
-
-
38349028870
-
Final peak epidemic sizes for SEIR models with quarantine and isolation
-
Z. Feng, Final peak epidemic sizes for SEIR models with quarantine and isolation, Mathematical Biosciences and Engineering,4 (2007), 675-686.
-
(2007)
MatheMatical Biosciences and Engineering
, vol.4
, pp. 675-686
-
-
Feng, Z.1
-
11
-
-
0002808656
-
Global stability and persistence of simple food chains
-
H. I. Freedman and J. W.-H. So, Global stability and persistence of simple food chains, Math. Biosci., 76 (1985), 69-86.
-
(1985)
Math. Biosci.
, vol.76
, pp. 69-86
-
-
Freedman, H.I.1
So, J.W.-H.2
-
12
-
-
16644369677
-
Modelling strategies for controlling SARS outbreaks
-
A. B. Gumel et al., Modelling strategies for controlling SARS outbreaks, Proceedings of the Royal Society, Series B, 271 (2004), 2223-2232.
-
(2004)
Proceedings of the Royal Society, Series B
, vol.271
, pp. 2223-2232
-
-
Gumel, A.B.1
-
13
-
-
55849087998
-
Global dynamics of a two-strain avian influenza model
-
A. B. Gumel, Global dynamics of a two-strain avian influenza model, Int. J. Comput. Math., 1 (2009), 85-108.
-
(2009)
Int. J. Comput. Math.
, vol.1
, pp. 85-108
-
-
Gumel, A.B.1
-
14
-
-
55849150770
-
Global dynamics of A staged progression model for infectious diseases
-
H. Guo and M. Y. Li, Global dynamics of a staged progression model for infectious diseases, Mathematical Biosciences and Engineering, 1 (2004), 1-13.
-
(2004)
Mathematical Biosciences and Engineering
, vol.1
, pp. 1-13
-
-
Guo, H.1
Li, M.Y.2
-
16
-
-
0034486891
-
The mathematics of infectious diseases
-
H. W. Hethcote, The mathematics of infectious diseases, SIAM Rev., 42 (2000), 599-653.
-
(2000)
SIAM Rev.
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
17
-
-
0021984692
-
Stability of the endemic equilibrium in epidemic models with subpopulations
-
H. W. Hethcote and H. R. Thieme, Stability of the endemic equilibrium in epidemic models with subpopulations, Math. Biosci., 75 (1985), 205-227.
-
(1985)
Math. Biosci.
, vol.75
, pp. 205-227
-
-
Hethcote, H.W.1
Thieme, H.R.2
-
18
-
-
0036846383
-
Effects of quarantine in six endemic models for infectious diseases
-
H. W. Hethcote, M. Zhien and L. Shengbing, Effects of quarantine in six endemic models for infectious diseases, Math. Biosci., 180 (2002), 141-160.
-
(2002)
Math. Biosci.
, vol.180
, pp. 141-160
-
-
Hethcote, H.W.1
Zhien, M.2
Shengbing, L.3
-
20
-
-
0041357154
-
Quarantine-based disease control in domesticated animal herds
-
R. R. Kao and M. G. Roberts, Quarantine-based disease control in domesticated animal herds, Appl. Math. Lett., 4 (1998), 115-120.
-
(1998)
Appl. Math. Lett.
, vol.4
, pp. 115-120
-
-
Kao, R.R.1
Roberts, M.G.2
-
21
-
-
55849109480
-
A Lyapunov function and some properties for SEIR, SIS epidemic models
-
A. Korobinikov and P. K. Maini, A Lyapunov function and some properties for SEIR, SIS epidemic models, Mathematical Biosciences and Engineering, 1 (2004), 157-160.
-
(2004)
Mathematical Biosciences and Engineering
, vol.1
, pp. 157-160
-
-
Korobinikov, A.1
Maini, P.K.2
-
23
-
-
3242687609
-
The epidemiology of severe acute respiratory syndrome in the 2003 Hong Kong epidemic: An analysis of all 1755 patients
-
G. Leung, et al., The epidemiology of severe acute respiratory syndrome in the 2003 Hong Kong epidemic: An analysis of all 1755 patients, Annals of Internal Medicine, 9 (2004), 662-673.
-
(2004)
Annals of Internal Medicine
, vol.9
, pp. 662-673
-
-
Leung, G.1
-
24
-
-
12444346408
-
Transmission dynamics and control of severe acute respiratory syndrome
-
M. Lipsitch et al., Transmission dynamics and control of severe acute respiratory syndrome, Science, 300 (2003), 1966-1970.
-
(2003)
Science
, vol.300
, pp. 1966-1970
-
-
Lipsitch, M.1
-
25
-
-
0141528614
-
Curtailing transmission of severe acute respiratory syndrome within a community and its hospital
-
J. O. Lloyd-Smith, A. P. Galvani and W. M. Getz, Curtailing transmission of severe acute respiratory syndrome within a community and its hospital, Proc. R. Soc. Lond. B, 170 (2003), 1979-1989.
-
(2003)
Proc. R. Soc. Lond. B
, vol.170
, pp. 1979-1989
-
-
Lloyd-Smith, J.O.1
Galvani, A.P.2
Getz, W.M.3
-
26
-
-
33846995623
-
Sensitivity and uncertainty analyses for a SARS model with time-varying inputs and outputs
-
R. G. McLeod, J. F. Brewster, A. B. Gumel and D. A. Slonowsky, Sensitivity and uncertainty analyses for a SARS model with time-varying inputs and outputs, Mathematical Biosciences and Engineering, 3 (2006), 527-544.
-
(2006)
Mathematical Biosciences and Engineering
, vol.3
, pp. 527-544
-
-
McLeod, R.G.1
Brewster, J.F.2
Gumel, A.B.3
Slonowsky, D.A.4
-
27
-
-
21244470368
-
Dynamics of two-strain influenza with isolation and partial cross-immunity
-
M. Nuno, Z. Feng, M. Martcheva and C. Castillo-Chavez, Dynamics of two-strain influenza with isolation and partial cross-immunity, SIAM J. Appl. Math., 65 (2005), 964-982.
-
(2005)
SIAM J. Appl. Math.
, vol.65
, pp. 964-982
-
-
Nuno, M.1
Feng, Z.2
Martcheva, M.3
Castillo-Chavez, C.4
-
28
-
-
12444260277
-
Transmission dynamics of etiological agent of SARS in Hong Kong: The impact of public health interventions
-
S. Riley et al., Transmission dynamics of etiological agent of SARS in Hong Kong: The impact of public health interventions, Science, 300 (2003), 1961-1966.
-
(2003)
Science
, vol.300
, pp. 1961-1966
-
-
Riley, S.1
-
29
-
-
0344419318
-
Local stability in epidemic models for heterogenous populations
-
V. Capasso, E. Grosso, S. L. Paveri-Fontana Eds., Springer
-
H. R. Thieme, Local stability in epidemic models for heterogenous populations, Lecture Notes in Biomathematics (V. Capasso, E. Grosso, S. L. Paveri-Fontana Eds.,) Springer, 57 (1985), 185-189.
-
(1985)
Lecture Notes in Biomathematics
, vol.57
, pp. 185-189
-
-
Thieme, H.R.1
-
31
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29-48.
-
(2002)
Math. Biosci.
, vol.180
, pp. 29-48
-
-
Driessche Den P.Van1
Watmough, J.2
-
32
-
-
1542298927
-
Simulating the SARS outbreak in Beijing with limited data
-
W. Wang and S. Ruan, Simulating the SARS outbreak in Beijing with limited data, J. Theor. Biol., 227 (2004), 369-379.
-
(2004)
J. Theor. Biol.
, vol.227
, pp. 369-379
-
-
Wang, W.1
Ruan, S.2
-
33
-
-
16344390853
-
Critical role of nosocomial transmission in the Toronto SARS outbreak
-
G. F.Webb, M. J. Blaser, H. Zhu, S. Ardal and J.Wu, Critical role of nosocomial transmission in the Toronto SARS outbreak, Math. Biosci. Engng., 1 (2004), 1-13.
-
(2004)
Math. Biosci. Engng.
, vol.1
, pp. 1-13
-
-
Webb, F.G.1
Blaser, M.J.2
Zhu, H.3
Ardal, S.4
Wu, J.5
-
34
-
-
35348933704
-
Optimal and sub-optimal quarantine and isolation control in SARS epidemics
-
X. Yan and Y. Zou, Optimal and sub-optimal quarantine and isolation control in SARS epidemics, Math. Comput. Modelling, 47 (2008), 235-245.
-
(2008)
Math. Comput. Modelling
, vol.47
, pp. 235-245
-
-
Yan, X.1
Zou, Y.2
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