-
1
-
-
77957175423
-
A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS
-
R. M. Anderson, G. F. Medley, R. M. May and A. M. Johnson, A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS, IMA J. Math. Med. Biol., 3(1986), 229-263.
-
(1986)
IMA J. Math. Med. Biol.
, vol.3
, pp. 229-263
-
-
Anderson, R.M.1
Medley, G.F.2
May, R.M.3
Johnson, A.M.4
-
4
-
-
38249042458
-
On the general structure of epidemic systems. Global asymptotic stability
-
E. Beretta and V. Capasso, On the general structure of epidemic systems. Global asymptotic stability, Computers & Mathematics with Applications, 12-A(1986), 677-694.
-
(1986)
Computers & Mathematics with Applications
, vol.12 A
, pp. 677-694
-
-
Beretta, E.1
Capasso, V.2
-
5
-
-
12844261174
-
Global stability results for a multigroup SIR epidemic model
-
eds. T. G. Hallam, L. J. Gross and S. A. Levin, World Scientific Publ., Teaneck, NJ
-
E. Beretta and V. Capasso, Global stability results for a multigroup SIR epidemic model, in "Mathematical Ecology" (eds. T. G. Hallam, L. J. Gross and S. A. Levin), World Scientific Publ., Teaneck, NJ, (1988), 317-342.
-
(1988)
Mathematical Ecology
, pp. 317-342
-
-
Beretta, E.1
Capasso, V.2
-
6
-
-
0025159677
-
On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
-
O. Diekmann, J. A. P. Heesterbek and J. A. J. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28(1990), 365-382.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 365-382
-
-
Diekmann, O.1
Heesterbek, J.A.P.2
Metz, J.A.J.3
-
7
-
-
0034923771
-
Endemic models with arbitrarily distributed periods of infection I: Fundamental properties of the model
-
DOI 10.1137/S0036139998347834, PII S0036139998347834
-
Z. Feng and H. R. Thieme, Endemic model with arbitrarily distributed periods of infection I. Fundamental properties of the model, SIAM J. Appl. Math. 61(2000), 803-833. (Pubitemid 32672593)
-
(2001)
SIAM Journal on Applied Mathematics
, vol.61
, Issue.3
, pp. 803-833
-
-
Feng, Z.1
Thieme, H.R.2
-
8
-
-
34247582734
-
Global stability for a virus dynamics model with nonlinear incidence of infection and removal
-
DOI 10.1137/060654876
-
P. Georgescu and Y.-H. Hsieh, Global stability for a virus dynamics model with nonlinear incidence of infection and removal, SIAM J. Appl. Math., 67(2006/07), 337-353. (Pubitemid 46674841)
-
(2006)
SIAM Journal on Applied Mathematics
, vol.67
, Issue.2
, pp. 337-353
-
-
Georgescu, P.1
Hsieh, Y.-H.2
-
10
-
-
33750693054
-
Mathematical study of a staged-progression HIV model with imperfect vaccine
-
DOI 10.1007/s11538-006-9095-7
-
A. B. Gumel, C. C. McCluskey and P. van den Driessche, Mathematical study of a stagedprogression HIV model with imperfect vaccine, Bull. Math. Biol., 68(2006), 2105-2128. (Pubitemid 44705861)
-
(2006)
Bulletin of Mathematical Biology
, vol.68
, Issue.8
, pp. 2105-2128
-
-
Gumel, A.B.1
McCluskey, C.C.2
Van Den Driessche, P.3
-
11
-
-
33847001630
-
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, Math. Biosci. Eng., 3(2006), 513-525.
-
(2006)
Math. Biosci. Eng.
, vol.3
, pp. 513-525
-
-
Guo, H.1
Li, M.Y.2
-
12
-
-
70349635941
-
Global dynamics of a staged-progression model with amelioration for infectious diseases
-
H. Guo and M. Y. Li, Global dynamics of a staged-progression model with amelioration for infectious diseases, J. Biol. Dynamics, 2(2008), 154-168.
-
(2008)
J. Biol. Dynamics
, vol.2
, pp. 154-168
-
-
Guo, H.1
Li, M.Y.2
-
13
-
-
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
-
14
-
-
0025919067
-
A simulation model of AIDS in San Francisco: I. Model formulation and parameter estimation
-
H. W. Hethcote, J. W. Van Ark and I. M. Longini Jr., A simulation model of AIDS in San Francisco: I. Model formulation and parameter estimation, Math. Biosci., 106(1991), 203-222.
-
(1991)
Math. Biosci.
, vol.106
, pp. 203-222
-
-
Hethcote, H.W.1
Van Ark, J.W.2
Longini Jr., I.M.3
-
15
-
-
77954623221
-
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
-
G. Huang, Y. Takeuchi, W. Ma and D. Wei, Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate, Bull. Math. Biol., 72(2010), 1192-1207.
-
(2010)
Bull. Math. Biol.
, vol.72
, pp. 1192-1207
-
-
Huang, G.1
Takeuchi, Y.2
Ma, W.3
Wei, D.4
-
16
-
-
0033073528
-
The differential infectivity and staged progression models for the transmission of HIV
-
PII S0025556498100573
-
J. M. Hyman, J. Li and E. A. Stanley, The differential infectivity and staged progression models for the transmission of HIV, Math. Biosci., 155(1999), 77-109. (Pubitemid 129672419)
-
(1999)
Mathematical Biosciences
, vol.155
, Issue.2
, pp. 77-109
-
-
Hyman, J.M.1
Li, J.2
Ann Stanley, E.3
-
17
-
-
0000998185
-
A Contribution to the mathematical theory of epidemics
-
W. O. Kermack and A. G. McKendrick, A Contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A, 115(1927), 700-721.
-
(1927)
Proc. Roy. Soc. Lond. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
18
-
-
3042703290
-
Lyapunov functions and global properties for SEIR and SEIS epidemic models
-
A. Korobeinikov, Lyapunov functions and global properties for SEIR and SEIS epidemic models, Math. Med. Biol., 21(2004), 75-83. (Pubitemid 38867853)
-
(2004)
Mathematical Medicine and Biology
, vol.21
, Issue.2
, pp. 75-83
-
-
Korobeinikov, A.1
-
19
-
-
3042695365
-
Global properties of basic virus dynamics models
-
DOI 10.1016/j.bulm.2004.02.001, PII S0092824004000254
-
A. Korobeinikov, Global properties of basic virus dynamics models, Bull. Math. Biol., 66(2004), 879-883. (Pubitemid 38800956)
-
(2004)
Bulletin of Mathematical Biology
, vol.66
, Issue.4
, pp. 879-883
-
-
Korobeinikov, A.1
-
20
-
-
33746594608
-
Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
-
DOI 10.1007/s11538-005-9037-9
-
A. Korobeinikov, Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission, Bull. Math. Biol., 68(2006), 615-626. (Pubitemid 44195563)
-
(2006)
Bulletin of Mathematical Biology
, vol.68
, Issue.3
, pp. 615-626
-
-
Korobeinikov, A.1
-
21
-
-
34547655762
-
Global properties of infectious disease models with nonlinear incidence
-
DOI 10.1007/s11538-007-9196-y
-
A. Korobeinikov, Global properties of infectious disease models with nonlinear incidence, Bull. Math. Biol., 69(2007), 1871-1886. (Pubitemid 47222242)
-
(2007)
Bulletin of Mathematical Biology
, vol.69
, Issue.6
, pp. 1871-1886
-
-
Korobeinikov, A.1
-
22
-
-
70349442365
-
Global asymptotic properties of virus dynamics models with dose dependent parasite reproduction and virulence, and nonlinear incidence rate
-
A. Korobeinikov, Global asymptotic properties of virus dynamics models with dose dependent parasite reproduction and virulence, and nonlinear incidence rate, Math. Med. Biol., 26(2009), 225-239.
-
(2009)
Math. Med. Biol.
, vol.26
, pp. 225-239
-
-
Korobeinikov, A.1
-
23
-
-
77749332038
-
Stability of ecosystem: Global properties of a general prey-predator model
-
A. Korobeinikov, Stability of ecosystem: Global properties of a general prey-predator model, Math. Med. Biol., 26(2009), 309-321.
-
(2009)
Math. Med. Biol.
, vol.26
, pp. 309-321
-
-
Korobeinikov, A.1
-
24
-
-
3042703290
-
Lyapunov functions and global properties for SEIR and SEIS epidemic models
-
A. Korobeinikov, Global properties of SIR and SEIR epidemic models with multiple parallel infectious stages, Bull. Math. Biol., 71(2009), 75-83. (Pubitemid 38867853)
-
(2004)
Mathematical Medicine and Biology
, vol.21
, Issue.2
, pp. 75-83
-
-
Korobeinikov, A.1
-
26
-
-
0027452018
-
An epidemiological model for HIV/AIDS with proportional recruitment
-
X. Lin, H. W. Hethcote and P. van den Driessche, An epidemiological model for HIV/AIDS with proportional recruitment, Math. Biosci., 118(1993), 181-195.
-
(1993)
Math. Biosci.
, vol.118
, pp. 181-195
-
-
Lin, X.1
Hethcote, H.W.2
Van Den Driessche, P.3
-
28
-
-
10644240707
-
Global stability for an SIR epidemic model with time delay
-
W. Ma, M. Song and Y. Takeuchi, Global stability for an SIR epidemic model with time delay, Appl. Math. Lett., 17(2004), 1141-1145.
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 1141-1145
-
-
Ma, W.1
Song, M.2
Takeuchi, Y.3
-
29
-
-
0037210843
-
A model of HIV/AIDS with staged progression and amelioration
-
DOI 10.1016/S0025-5564(02)00149-9, PII S0025556402001499
-
C. C. McCluskey, A model of HIV/AIDS with staged progression and amelioration, Math. Biosci., 181(2003), 1-16. (Pubitemid 35379443)
-
(2003)
Mathematical Biosciences
, vol.181
, Issue.1
, pp. 1-16
-
-
McCluskey, C.C.1
-
30
-
-
33846971609
-
Lyapunov functions for tuberculosis models with fast and slow progression
-
C. C. McCluskey, Lyapunov functions for tuberculosis models with fast and slow progression, Math. Biosci. Eng., 3(2006), 603-614.
-
(2006)
Math. Biosci. Eng.
, vol.3
, pp. 603-614
-
-
McCluskey, C.C.1
-
31
-
-
34548816975
-
Global stability for a class of mass action systems allowing for latency in tuberculosis
-
C. C. McCluskey, Global stability for a class of mass action systems allowing for latency in tuberculosis, J. Math. Anal. Appl., 338(2008), 518-535.
-
(2008)
J. Math. Anal. Appl.
, vol.338
, pp. 518-535
-
-
McCluskey, C.C.1
-
32
-
-
70349392965
-
Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
-
C. C. McCluskey, Global stability for an SEIR epidemiological model with varying infectivity and infinite delay, Math. Biosci. Eng., 6(2009), 603-610.
-
(2009)
Math. Biosci. Eng.
, vol.6
, pp. 603-610
-
-
McCluskey, C.C.1
-
33
-
-
70350722240
-
Complete global stability for an SIR epidemic model with delay - Distributed or discrete
-
C. C. McCluskey, Complete global stability for an SIR epidemic model with delay - distributed or discrete, Nonlinear Anal. - Real, 11(2010), 55-59.
-
(2010)
Nonlinear Anal. - Real
, vol.11
, pp. 55-59
-
-
McCluskey, C.C.1
-
34
-
-
77953948341
-
Liapunov functional and global asymptotic stability for an infection-age model
-
C. C. McCluskey, P. Magal and G. F. Webb, Liapunov functional and global asymptotic stability for an infection-age model, Appl. Anal., 89(2010), 1109-1140.
-
(2010)
Appl. Anal.
, vol.89
, pp. 1109-1140
-
-
McCluskey, C.C.1
Magal, P.2
Webb, G.F.3
-
35
-
-
0037040349
-
HIV-1 infection in rural Africa: Is there a difference in median time to AIDS and survival compared with that in industrialized countries
-
D. Morgan, C. Mahe, B. Mayanja, J. M. Okongo, R. Lubega and J. A. Whitworth, HIV-1 infection in rural Africa: Is there a difference in median time to AIDS and survival compared with that in industrialized countries, AIDS, 16(2002), 597-632.
-
(2002)
AIDS
, vol.16
, pp. 597-632
-
-
Morgan, D.1
Mahe, C.2
Mayanja, B.3
Okongo, J.M.4
Lubega, R.5
Whitworth, J.A.6
-
36
-
-
77049094004
-
Dynamics of tuberculosis: The effect of direct observation therapy strategy (DOTS) in Nigeria
-
D. Okuonghae and A. Korobeinikov, Dynamics of tuberculosis: The effect of direct observation therapy strategy (DOTS) in Nigeria, Math. Model. Nat. Phenom., 2(2006), 99-111.
-
(2006)
Math. Model. Nat. Phenom.
, vol.2
, pp. 99-111
-
-
Okuonghae, D.1
Korobeinikov, A.2
-
37
-
-
52049084831
-
SEIR epidemiological model with varying infectivity and infinite delay
-
G. Röst and J. Wu, SEIR epidemiological model with varying infectivity and infinite delay, Math. Biosci. Eng., 5(2008), 389-402.
-
(2008)
Math. Biosci. Eng.
, vol.5
, pp. 389-402
-
-
Röst, G.1
Wu, J.2
-
39
-
-
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
-
40
-
-
80052429848
-
Global asymptotic stability for HIV-1 dynamics with two infinite delays
-
doi:10.1093/imammb/dqr009
-
J. Wang, G. Huang and Y. Takeuchi, Global asymptotic stability for HIV-1 dynamics with two infinite delays, Math. Med. Biol., 2011. (doi:10.1093/imammb/ dqr009)
-
(2011)
Math. Med. Biol.
-
-
Wang, J.1
Huang, G.2
Takeuchi, Y.3
|