-
1
-
-
0027136227
-
Pulse mass measles vaccination across age cohorts
-
DOI 10.1073/pnas.90.24.11698
-
Z. Agur, L. Cojocaru, G. Mazor et al., Pulse mass measles vaccination across age cohorts, Proc. Natl. Acad. Sci. USA 90 (1993) 11698-11702. (Pubitemid 24008706)
-
(1993)
Proceedings of the National Academy of Sciences of the United States of America
, vol.90
, Issue.24
, pp. 11698-11702
-
-
Agur, Z.1
Cojocaru, L.2
Mazor, G.3
Anderson, R.M.4
Danon, Y.L.5
-
2
-
-
33244460571
-
Mucormycosis in the Eastern Mediterranean: A seasonal disease
-
DOI 10.1017/S0950268805004930, PII S0950268805004930
-
M. R. Al-Ajam, A. R. Bizri, J. Mokhbat et al., Mucormycosis in the Eastern Mediterranean: A seasonal disease, Epidemiol. Infect. 134 (2006) 341-346. (Pubitemid 43280244)
-
(2006)
Epidemiology and Infection
, vol.134
, Issue.2
, pp. 341-346
-
-
Al-Ajam, M.R.1
Bizri, A.R.2
Mokhbat, J.3
Weedon, J.4
Lutwick, L.5
-
4
-
-
0021690803
-
Seasonality and period-doubling bifurcations in an epidemic model
-
J. L. Aron and I. B. Schwartz, Seasonality and period-doubling bifurcations in an epidemic model, J. Theor. Biol. 110 (1984) 665-679. (Pubitemid 15185682)
-
(1984)
Journal of Theoretical Biology
, vol.110
, Issue.4
, pp. 665-679
-
-
Aron, J.L.1
Schwartz, I.B.2
-
6
-
-
0018041874
-
A generalization of the Kermack-McKendrick deterministic epidemic model
-
DOI 10.1016/0025-5564(78)90006-8
-
V. Capasso and G. Serio, A generalization of the Kermack-McKendrick deterministic epidemic model, Math. Biosci. 42 (1978) 43-61. (Pubitemid 9117153)
-
(1978)
Mathematical Biosciences
, vol.42
, Issue.1-2
, pp. 43-61
-
-
Capasso, V.1
Serio, G.2
-
7
-
-
25644446425
-
Some equations modeling growth process and gonorrhea epidemics
-
K. L. Cooke and J. A. Yorke, Some equations modeling growth process and gonorrhea epidemics, Math. Biosci. 16 (1973) 75-107.
-
(1973)
Math. Biosci.
, vol.16
, pp. 75-107
-
-
Cooke, K.L.1
Yorke, J.A.2
-
8
-
-
11144311134
-
Exploring 30 years of malaria case data in KwaZulu-Natal, South Africa: Part I. The impact of climatic factors
-
DOI 10.1111/j.1365-3156.2004.01340.x
-
M. H. Craig, I. Kleinschmidt, J. B. Nawn et al., Exploring 30 years of malaria case data in KwaZulu-Natal, South Africa: Part I. The impact of climatic factors, Trop. Med. Int. Health 9 (2004) 1247-1257. (Pubitemid 40037160)
-
(2004)
Tropical Medicine and International Health
, vol.9
, Issue.12
, pp. 1247-1257
-
-
Craig, M.H.1
Kleinschmidt, I.2
Nawn, J.B.3
Le Sueur, D.4
Sharp, B.L.5
-
9
-
-
0002091257
-
How does transmission depend on population size?
-
ed. D. Mollison Cambridge University Press, Cambridge
-
M. C. M. de Jong, O. Diekmann and J. A. P. Heesterbeek, How does transmission depend on population size? in Human Infectious Diseases, Epidemic Models, ed. D. Mollison (Cambridge University Press, Cambridge, 1995), pp. 84-94.
-
(1995)
Human Infectious Diseases, Epidemic Models
, pp. 84-94
-
-
De Jong, M.C.M.1
Diekmann, O.2
Heesterbeek, J.A.P.3
-
10
-
-
0043263962
-
Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
-
W. R. Derrick and P. van den Driessche, Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population, Discrete Contin. Dynam. Syst. Ser. B 3 (2003) 299-309. (Pubitemid 37073309)
-
(2003)
Discrete and Continuous Dynamical Systems - Series B
, vol.3
, Issue.2
, pp. 299-309
-
-
Derrick, W.R.1
Van Den Driessche, P.2
-
11
-
-
0002454064
-
The incidence of infectious diseases under the influence of seasonal fluctuations, in
-
eds. J. Berger, W. Bühler, R. Repges and P. Tautu, Lecture Notes in Biomathematics Springer, Berlin
-
K. Dietz, The incidence of infectious diseases under the influence of seasonal fluctuations, in Proc. Workshop on Mathematical Modeling in Medicine, Mainz, eds. J. Berger, W. Bühler, R. Repges and P. Tautu, Lecture Notes in Biomathematics (Springer, Berlin, 1976), pp. 1-15.
-
(1976)
Proc. Workshop on Mathematical Modeling in Medicine, Mainz
, pp. 1-15
-
-
Dietz, K.1
-
12
-
-
0036291194
-
Stability properties of pulse vaccination strategy in SEIR epidemic model
-
DOI 10.1016/S0025-5564(02)00095-0, PII S0025556402000950
-
A. D'Onofrio, Stability properties of pulse vaccination strategy in SEIR epidemic model, Math. Biosci. 179 (2002) 57-72. (Pubitemid 34686427)
-
(2002)
Mathematical Biosciences
, vol.179
, Issue.1
, pp. 57-72
-
-
D'Onofrio, A.1
-
13
-
-
1242264916
-
Mixed pulse vaccination strategy in epidemic model with realistic distributed infectious and latent times
-
A. D'Onofrio, Mixed pulse vaccination strategy in epidemic model with realistic distributed infectious and latent times, Appl. Math. Comput. 151 (2004) 181-187.
-
(2004)
Appl. Math. Comput.
, vol.151
, pp. 181-187
-
-
D'Onofrio, A.1
-
14
-
-
10044287073
-
Dynamical resonance can account for seasonality of influenza epidemics
-
DOI 10.1073/pnas.0407293101
-
J. Dushoff, J. Plotkin, S. A. Levin et al., Dynamical resonance can account for seasonality of influenza epidemics, Proc. Natl. Acad. Sci. USA 101 (2004) 16915-16916. (Pubitemid 39601338)
-
(2004)
Proceedings of the National Academy of Sciences of the United States of America
, vol.101
, Issue.48
, pp. 16915-16916
-
-
Dushoff, J.1
Plotkin, J.B.2
Levin, S.A.3
Earn, D.J.D.4
-
15
-
-
0036643943
-
Ecology and evolution of the flu
-
DOI 10.1016/S0169-5347(02)02502-8, PII S0169534702025028
-
D. J. D. Earn, J. Dushoff and S. A. Levin, Ecology and evolution of the flu, Trends Ecol. Evol. 17 (2002) 334-340. (Pubitemid 34628660)
-
(2002)
Trends in Ecology and Evolution
, vol.17
, Issue.7
, pp. 334-340
-
-
Earn, D.J.D.1
Dushoff, J.2
Levin, S.A.3
-
16
-
-
0029014859
-
Multi-annual outbreaks of childhood disease revisited: The impact of isolation
-
Z. Feng and R. H. Thieme, Multi-annual outbreaks of childhood disease revisited: The impact of isolation, Math. Biosci. 128 (1995) 93-130.
-
(1995)
Math. Biosci.
, vol.128
, pp. 93-130
-
-
Feng, Z.1
Thieme, R.H.2
-
17
-
-
33746833233
-
Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
-
DOI 10.1016/j.vaccine.2006.05.018, PII S0264410X06005779
-
S. Gao, L Chen, J. J. Nieto et al., Analysis of a delayed epidemic model with pulse vaccination and saturation incidence, Vaccine 24 (2006) 6037-6045. (Pubitemid 44175617)
-
(2006)
Vaccine
, vol.24
, Issue.35-36
, pp. 6037-6045
-
-
Gao, S.1
Chen, L.2
Nieto, J.J.3
Torres, A.4
-
18
-
-
58049141205
-
Analysis of an SEIRS epidemic model with time delays and pulse vaccination
-
S. Gao, L. Chen and Z. Teng, Analysis of an SEIRS epidemic model with time delays and pulse vaccination, Rocky Mountain J. Math. 38 (2008) 1385-1402.
-
(2008)
Rocky Mountain J. Math.
, vol.38
, pp. 1385-1402
-
-
Gao, S.1
Chen, L.2
Teng, Z.3
-
19
-
-
5444262735
-
Hopf bifurcation in two SIRS density dependent epidemic models
-
DOI 10.1016/j.mcm.2004.06.007, PII S0895717704800979
-
D. Greenhalgh, Q. J. A. Khan and F. I. Lewis, Hopf bifurcation in two SIRS density dependent epidemic models, Math. Comput. Modelling 39 (2004) 1261-1283. (Pubitemid 39350867)
-
(2004)
Mathematical and Computer Modelling
, vol.39
, Issue.11-12
, pp. 1261-1283
-
-
Greenhalgh, D.1
Khan, Q.J.A.2
Lewis, F.I.3
-
20
-
-
0017228276
-
Qualitative analysis for communicable disease models
-
H.W. Hethcote, Qualitative analysis for communicable disease models, Math. Biosci. 28 (1976) 335-356.
-
(1976)
Math. Biosci.
, vol.28
, pp. 335-356
-
-
Hethcote, H.W.1
-
21
-
-
0034486891
-
The mathematics of infectious disease
-
H. W. Hethcote, The mathematics of infectious disease, SIAM Rev. 42 (2000) 599-653.
-
(2000)
SIAM Rev.
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
22
-
-
69249209635
-
Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination
-
G. Jiang and Q. Yang, Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination, Appl. Math. Comput. 215 (2009) 1035-1046.
-
(2009)
Appl. Math. Comput.
, vol.215
, pp. 1035-1046
-
-
Jiang, G.1
Yang, Q.2
-
23
-
-
84863116392
-
Pulse vaccination in the periodic infection rate SIR epidemic model
-
Z. Jin, M. Haque and Q. Liu, Pulse vaccination in the periodic infection rate SIR epidemic model, Int. J. Biomath. 1 (2008) 409-432.
-
(2008)
Int. J. Biomath.
, vol.1
, pp. 409-432
-
-
Jin, Z.1
Haque, M.2
Liu, Q.3
-
24
-
-
0000998185
-
A contributions to the mathematical theory of epidemics I
-
W. O. Kermack and A. G. McKendrick, A contributions to the mathematical theory of epidemics I, Proc. R. Soc. Lond. A 115 (1927) 700-721.
-
(1927)
Proc. R. Soc. Lond. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
25
-
-
0343238366
-
A simple vaccination model with multiple endemic states
-
DOI 10.1016/S0025-5564(00)00003-1, PII S0025556400000031
-
C. Kribs-Zaleta and J. X. Velasco-Hernández, A simple vaccination model with multiple endemic states, Math. Biosci. 164 (2000) 183-201. (Pubitemid 30211016)
-
(2000)
Mathematical Biosciences
, vol.164
, Issue.2
, pp. 183-201
-
-
Kribs-Zaleta, C.M.1
Velasco-Hernandez, J.X.2
-
26
-
-
0022298258
-
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
-
DOI 10.1007/BF00276956
-
W. M. Liu, S. A. Levin and Y. Iwasa, Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models, J. Math. Biol. 23 (1986) 187-204. (Pubitemid 16153721)
-
(1985)
Journal of Mathematical Biology
, vol.23
, Issue.2
, pp. 187-204
-
-
Liu, W.-M.1
Levin, S.A.2
Iwasa, Y.3
-
27
-
-
44849133934
-
SVIR epidemic models with vaccination strategies
-
DOI 10.1016/j.jtbi.2007.10.014, PII S0022519307005115
-
X. Liu, Y. Takeuchi and S. Iwami, SVIR epidemic models with vaccination strategies, J. Theor. Biol. 253 (2008) 1-11. (Pubitemid 351794279)
-
(2008)
Journal of Theoretical Biology
, vol.253
, Issue.1
, pp. 1-11
-
-
Liu, X.1
Takeuchi, Y.2
Iwami, S.3
-
28
-
-
0015739604
-
Recurrent outbreaks of measles, chickenpox and mumps: I. Seasonal variation in contact rates
-
W. London and J. A. Yorke, Recurrent outbreaks of measles, chickenpox and mumps: I. seasonal variation in contact rates, Amer. J. Epidemiol. 98 (1973) 453-468.
-
(1973)
Amer. J. Epidemiol.
, vol.98
, pp. 453-468
-
-
London, W.1
Yorke, J.A.2
-
29
-
-
0037195889
-
The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
-
PII S0895717702002571
-
Z. Lu, X. Chi and L. Chen, The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission, Math. Comput. Modelling 36 (2002) 1039-1057. (Pubitemid 35456633)
-
(2002)
Mathematical and Computer Modelling
, vol.36
, Issue.9-10
, pp. 1039-1057
-
-
Lu, Z.1
Chi, X.2
Chen, L.3
-
30
-
-
77949274591
-
Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects
-
X. Meng, Z. Li and X. Wang, Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects, Nonlinear Dynam. 59 (2010) 503-513.
-
(2010)
Nonlinear Dynam.
, vol.59
, pp. 503-513
-
-
Meng, X.1
Li, Z.2
Wang, X.3
-
31
-
-
34548404314
-
The effect of using different types of periodic contact rate on the behaviour of infectious diseases: A simulation study
-
DOI 10.1016/j.compbiomed.2007.02.007, PII S0010482507000376
-
I. A. Moneim, The effect of using different types of periodic contact rate on the behaviour of infectious diseases: A simulation study, Comput. Biol. Med. 37 (2007) 1582-1590. (Pubitemid 47362101)
-
(2007)
Computers in Biology and Medicine
, vol.37
, Issue.11
, pp. 1582-1590
-
-
Moneim, I.A.1
-
33
-
-
84863115736
-
Two different vaccination strategies in an SIR epidemic model with saturated infectious force
-
Y. Pei, S. Liu, L. Chen et al., Two different vaccination strategies in an SIR epidemic model with saturated infectious force, Int. J. Biomath. 1 (2008) 147-160.
-
(2008)
Int. J. Biomath.
, vol.1
, pp. 147-160
-
-
Pei, Y.1
Liu, S.2
Chen, L.3
-
34
-
-
0037429355
-
Dynamical behavior of an epidemic model with a nonlinear incidence rate
-
DOI 10.1016/S0022-0396(02)00089-X, PII S002203960200089X
-
S. Ruan and W. Wang, Dynamical behavior of an epidemic model with a nonlinear incidence rate, J. Differential Equations 188 (2003) 135-163. (Pubitemid 36233149)
-
(2003)
Journal of Differential Equations
, vol.188
, Issue.1
, pp. 135-163
-
-
Ruan, S.1
Wang, W.2
-
35
-
-
0026451408
-
Small amplitude, long period outbreaks in seasonally driven epidemics
-
I. B. Schwartz, Small amplitude, long period outbreaks in seasonally driven epidemics, J. Math. Biol. 30 (1992) 473-491.
-
(1992)
J. Math. Biol.
, vol.30
, pp. 473-491
-
-
Schwartz, I.B.1
-
36
-
-
0034143395
-
Theoretical examination of the pulse vaccination policy in the SIR epidemic model
-
DOI 10.1016/S0895-7177(00)00040-6, PII S0895717700000406
-
B. Shulgin, L. Stone and Z. Agur, Theoretical examinations of pulse vaccination policy in the SIR epidemic model, Math. Comput. Modelling 31 (2000) 207-215. (Pubitemid 30124398)
-
(2000)
Mathematical and Computer Modelling
, vol.31
, Issue.4-5
, pp. 207-215
-
-
Stone, L.1
Shulgin, B.2
Agur, Z.3
-
37
-
-
0034198679
-
A simple SIS epidemic model with a backward bifurcation
-
P. van den Driessche and J.Watmough, A simple SIS epidemic model with a backward bifurcation, J. Math. Biol. 40 (2000) 525-540.
-
(2000)
J. Math. Biol.
, vol.40
, pp. 525-540
-
-
Van Den Driessche, P.1
Watmough, J.2
-
38
-
-
77950917649
-
The dynamics of an epidemic model for pest control with impulsive effect
-
L.Wang, L. Chen and J. J. Nieto, The dynamics of an epidemic model for pest control with impulsive effect, Nonlinear Anal. Real World Appl. 11 (2010) 1374-1386.
-
(2010)
Nonlinear Anal. Real World Appl.
, vol.11
, pp. 1374-1386
-
-
Wang, L.1
Chen, L.2
Nieto, J.J.3
-
41
-
-
43649101953
-
A delayed epidemic model with stage-structure and pulses for pest management strategy
-
DOI 10.1016/j.nonrwa.2007.05.004, PII S1468121807000934
-
H. Zhang, L. Chen and J. J. Nieto, A delayed epidemic model with stage-structure and pulses for pest management strategy, Nonlinear Anal. Real World Appl. 9 (2008) 1714-1726. (Pubitemid 351685810)
-
(2008)
Nonlinear Analysis: Real World Applications
, vol.9
, Issue.4
, pp. 1714-1726
-
-
Zhang, H.1
Chen, L.2
Nieto, J.J.3
-
42
-
-
61549085953
-
Analysis of a delayed SIR model with nonlinear incidence rate
-
Article ID 636153
-
J. Zhang, Z. Jin, Q. Liu et al., Analysis of a delayed SIR model with nonlinear incidence rate, Discrete Dyn. Nat. Soc. 2008 (2008) Article ID 636153, 16 pp.
-
(2008)
Discrete Dyn. Nat. Soc. 2008
, pp. 16
-
-
Zhang, J.1
Jin, Z.2
Liu, Q.3
-
43
-
-
56549115873
-
Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment
-
X. Zhang and X. N. Liu, Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment, Nonlinear Anal. Real World Appl. 10 (2009) 565-575.
-
(2009)
Nonlinear Anal. Real World Appl.
, vol.10
, pp. 565-575
-
-
Zhang, X.1
Liu, X.N.2
|