-
3
-
-
1042298863
-
Global results for an epidemic model with vaccination that exhibits backward bifurcation
-
J. Arino, C.C. McCluskey, and P. van den Driessche Global results for an epidemic model with vaccination that exhibits backward bifurcation SIAM J. Appl. Math. 64 2003 260 276
-
(2003)
SIAM J. Appl. Math.
, vol.64
, pp. 260-276
-
-
Arino, J.1
McCluskey, C.C.2
Van Den Driessche, P.3
-
4
-
-
52049111883
-
Optimal control of vaccine distribution in a rabies metapopulation model
-
E. Asano, L.J. Gross, S. Lenhart, and L.A. Real Optimal control of vaccine distribution in a rabies metapopulation model Math. Biosci. Eng. 5 2008 219 238
-
(2008)
Math. Biosci. Eng.
, vol.5
, pp. 219-238
-
-
Asano, E.1
Gross, L.J.2
Lenhart, S.3
Real, L.A.4
-
5
-
-
77952674174
-
Backward bifurcation and optimal control in transmission dynamics of West Nile Virus
-
K.W. Blayneh, A.B. Gumel, S. Lenhart, and T. Clayton Backward bifurcation and optimal control in transmission dynamics of West Nile Virus Bull. Math. Biol. 72 2010 1006 1028
-
(2010)
Bull. Math. Biol.
, vol.72
, pp. 1006-1028
-
-
Blayneh, K.W.1
Gumel, A.B.2
Lenhart, S.3
Clayton, T.4
-
6
-
-
10144259346
-
Backward bifurcations in simple vaccination models
-
DOI 10.1016/j.jmaa.2004.05.045, PII S0022247X04004378
-
F. Brauer Backward bifurcations in simple vaccination models J. Math. Anal. Appl. 298 2004 418 431 (Pubitemid 39615063)
-
(2004)
Journal of Mathematical Analysis and Applications
, vol.298
, Issue.2
, pp. 418-431
-
-
Brauer, F.1
-
7
-
-
54849440366
-
-
Lecture Notes in Mathematics, Mathematical Biosciences Subseries 1945 Springer Berlin, Heidelberg
-
F. Brauer, P. van den Driessche, and J. Wu Mathematical Epidemiology Lecture Notes in Mathematics, Mathematical Biosciences Subseries 1945 2008 Springer Berlin, Heidelberg
-
(2008)
Mathematical Epidemiology
-
-
Brauer, F.1
Van Den Driessche, P.2
Wu, J.3
-
8
-
-
58549084832
-
On the dynamics of an SEIR epidemic model with a convex incidence rate
-
B. Buonomo, and D. Lacitignola On the dynamics of an SEIR epidemic model with a convex incidence rate Ric. Mat. 57 2008 261 281
-
(2008)
Ric. Mat.
, vol.57
, pp. 261-281
-
-
Buonomo, B.1
Lacitignola, D.2
-
9
-
-
79952356210
-
Analysis of a tuberculosis model with a case study in Uganda
-
B. Buonomo, and D. Lacitignola Analysis of a tuberculosis model with a case study in Uganda J. Biol. Dyn. 4 2010 571 593
-
(2010)
J. Biol. Dyn.
, vol.4
, pp. 571-593
-
-
Buonomo, B.1
Lacitignola, D.2
-
10
-
-
79952355338
-
On the backward bifurcation of a vaccination model with nonlinear incidence
-
B. Buonomo, and D. Lacitignola On the backward bifurcation of a vaccination model with nonlinear incidence Nonlinear Anal. Model. Control 16 2011 30 46
-
(2011)
Nonlinear Anal. Model. Control
, vol.16
, pp. 30-46
-
-
Buonomo, B.1
Lacitignola, D.2
-
11
-
-
0010647130
-
Global solution for a diffusive nonlinear deterministic epidemic model
-
V. Capasso Global solution for a diffusive nonlinear deterministic epidemic model SIAM J. Appl. Anal. 35 1978 274 284
-
(1978)
SIAM J. Appl. Anal.
, vol.35
, pp. 274-284
-
-
Capasso, V.1
-
12
-
-
0018041874
-
A generalization of the Kermack-McKendrick deterministic epidemic model
-
V. Capasso, and G. Serio A generalization of the Kermack-McKendrick deterministic epidemic model Math. Biosci. 42 1978 41 61
-
(1978)
Math. Biosci.
, vol.42
, pp. 41-61
-
-
Capasso, V.1
Serio, G.2
-
13
-
-
0003318955
-
Mathematical Structures of Epidemic Systems
-
Springer Berlin
-
V. Capasso Mathematical Structures of Epidemic Systems Lecture Notes in Biomathematics vol. 97 1993 Springer Berlin
-
(1993)
Lecture Notes in Biomathematics
, vol.97
-
-
Capasso, V.1
-
14
-
-
33748307685
-
Dynamical models of tuberculosis and their applications
-
C. Castillo-Chavez, and B. Song Dynamical models of tuberculosis and their applications Math. Biosci. Eng. 1 2004 361 404
-
(2004)
Math. Biosci. Eng.
, vol.1
, pp. 361-404
-
-
Castillo-Chavez, C.1
Song, B.2
-
16
-
-
70349647743
-
Optimal control applied to vaccination and treatment strategies for various epidemiological models
-
H. Gaff, and E. Schaefer Optimal control applied to vaccination and treatment strategies for various epidemiological models Math. Biosci. Eng. 6 2009 469 492
-
(2009)
Math. Biosci. Eng.
, vol.6
, pp. 469-492
-
-
Gaff, H.1
Schaefer, E.2
-
17
-
-
84897103187
-
Modeling control strategies for influenza A H1N1 epidemics: SIR models
-
G. Gómez-Alcaraz, and C. Vargas-De-León Modeling control strategies for influenza A H1N1 epidemics: SIR models Rev. Mex. Física S 58 2012 37 43
-
(2012)
Rev. Mex. Física S
, vol.58
, pp. 37-43
-
-
Gómez-Alcaraz, G.1
Vargas-De-León, C.2
-
18
-
-
84892036294
-
-
Springer Berlin
-
D. Grass, J.P. Caulkins, G. Feichtinger, G. Tragler, and D.A. Behrens Optimal Control of Nonlinear Processes, with Applications in Drugs, Corruption, and Terror 2008 Springer Berlin
-
(2008)
Optimal Control of Nonlinear Processes, with Applications in Drugs, Corruption, and Terror
-
-
Grass, D.1
Caulkins, J.P.2
Feichtinger, G.3
Tragler, G.4
Behrens, D.A.5
-
19
-
-
0038521431
-
A qualitative study of a vaccination model with non-linear incidence
-
A.B. Gumel, and S.M. Moghadas A qualitative study of a vaccination model with non-linear incidence Appl. Math. Comput. 143 2003 409 419
-
(2003)
Appl. Math. Comput.
, vol.143
, pp. 409-419
-
-
Gumel, A.B.1
Moghadas, S.M.2
-
21
-
-
65549154257
-
Optimal control of tuberculosis with exogenous reinfection
-
K. Hattaf, M. Rachik, S. Saadi, Y. Tabit, and N. Yousfi Optimal control of tuberculosis with exogenous reinfection Appl. Math. Sci. (Ruse) 3 2009 231 240
-
(2009)
Appl. Math. Sci. (Ruse)
, vol.3
, pp. 231-240
-
-
Hattaf, K.1
Rachik, M.2
Saadi, S.3
Tabit, Y.4
Yousfi, N.5
-
22
-
-
67349113472
-
Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates
-
J. Hou, and Z. Teng Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates Math. Comput. Simulat. 79 2009 3038 3054
-
(2009)
Math. Comput. Simulat.
, vol.79
, pp. 3038-3054
-
-
Hou, J.1
Teng, Z.2
-
23
-
-
68949184844
-
Optimal control strategy for prevention of avian influenza pandemic
-
E. Jung, S. Iwami, Y. Takeuchi, and T.-C. Jo Optimal control strategy for prevention of avian influenza pandemic J. Theor. Biol. 260 2009 220 229
-
(2009)
J. Theor. Biol.
, vol.260
, pp. 220-229
-
-
Jung, E.1
Iwami, S.2
Takeuchi, Y.3
Jo, T.-C.4
-
25
-
-
0343238366
-
A simple vaccination model with multiple endemic states
-
DOI 10.1016/S0025-5564(00)00003-1, PII S0025556400000031
-
C.M. Kribs-Zaleta, and J.X. Velasco-Hernandez 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
-
28
-
-
0023070210
-
Dynamical behavior of epidemiological models with non-linear incidence rates
-
W.M. Liu, H.W. Hetchote, and S.A. Levin Dynamical behavior of epidemiological models with non-linear incidence rates J. Math. Biol. 25 1987 359 380
-
(1987)
J. Math. Biol.
, vol.25
, pp. 359-380
-
-
Liu, W.M.1
Hetchote, H.W.2
Levin, S.A.3
-
29
-
-
0022298258
-
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
-
DOI 10.1007/BF00276956
-
W.M. Liu, H.W. Hetchote, and S.A. Levin Influence of non-linear 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
-
30
-
-
2242450838
-
-
The Mathworks Inc. Natich, MA
-
MATLAB Matlab release 12 2000 The Mathworks Inc. Natich, MA
-
(2000)
Matlab Release 12
-
-
-
31
-
-
0037099662
-
Global stability of a two-stage epidemic model with generalized non-linear incidence
-
DOI 10.1016/S0378-4754(02)00002-2, PII S0378475402000022
-
S.M. Moghadas, and A.B. Gumel Global stability of a two-stage epidemic model with generalized non-linear incidence Math. Comput. Simulat. 60 2002 107 118 (Pubitemid 34661523)
-
(2002)
Mathematics and Computers in Simulation
, vol.60
, Issue.1-2
, pp. 107-118
-
-
Moghadas, S.M.1
Gumel, A.B.2
-
33
-
-
84888366905
-
Mathematical analysis of an SIS model with imperfect vaccination and backward bifurcation
-
M. Safan, and F.A. Rihan Mathematical analysis of an SIS model with imperfect vaccination and backward bifurcation Math. Comput. Simulat. 96 2014 195 206
-
(2014)
Math. Comput. Simulat.
, vol.96
, pp. 195-206
-
-
Safan, M.1
Rihan, F.A.2
-
34
-
-
79952574353
-
Modelling the transmission dynamics and control of the novel 2009 swine influenza (H1N1) pandemic
-
O. Sharomi, C.N. Podder, A.B. Gumel, S.M. Mahmud, and E. Rubinstein Modelling the transmission dynamics and control of the novel 2009 swine influenza (H1N1) pandemic Bull. Math. Biol. 73 2011 515 548
-
(2011)
Bull. Math. Biol.
, vol.73
, pp. 515-548
-
-
Sharomi, O.1
Podder, C.N.2
Gumel, A.B.3
Mahmud, S.M.4
Rubinstein, E.5
-
35
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
DOI 10.1016/S0025-5564(02)00108-6, PII S0025556402001086
-
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 (Pubitemid 35304346)
-
(2002)
Mathematical Biosciences
, vol.180
, pp. 29-48
-
-
Van Den Driessche, P.1
Watmough, J.2
-
36
-
-
84861404044
-
Constructions of Lyapunov functions for classic SIS, SIR and SIRS epidemic models with variable population size
-
C. Vargas-De-León Constructions of Lyapunov functions for classic SIS, SIR and SIRS epidemic models with variable population size Foro-Red-Mat: Rev. Electrón. Conten. Mat. 26 6 2009 1 12
-
(2009)
Foro-Red-Mat: Rev. Electrón. Conten. Mat.
, vol.26
, Issue.6
, pp. 1-12
-
-
Vargas-De-León, C.1
-
37
-
-
84874857006
-
Mathematical modelling and control of echinococcus in Qinghai province, China
-
L. Wu, B. Song, W. Du, and J. Lou Mathematical modelling and control of echinococcus in Qinghai province, China Math. Biosci. Eng. 10 2013 425 444
-
(2013)
Math. Biosci. Eng.
, vol.10
, pp. 425-444
-
-
Wu, L.1
Song, B.2
Du, W.3
Lou, J.4
-
38
-
-
79955550073
-
The domain of attraction for the endemic equilibrium of an SIRS epidemic model
-
Z. Zhang, J. Wu, Y. Suo, and X. Song The domain of attraction for the endemic equilibrium of an SIRS epidemic model Math. Comput. Simulat. 81 2011 1697 1706
-
(2011)
Math. Comput. Simulat.
, vol.81
, pp. 1697-1706
-
-
Zhang, Z.1
Wu, J.2
Suo, Y.3
Song, X.4
|