-
1
-
-
77957175423
-
A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS
-
Anderson, R. M., 1986. A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS. IMA J. Math. Med. Biol., 3:229–263.
-
(1986)
IMA J. Math. Med. Biol.
, vol.3
, pp. 229-263
-
-
Anderson, R.M.1
-
2
-
-
12844261174
-
Global stability results for a multigroup SIR epidemic model
-
Hallam T.G., Gross L.J., Levin S.A., (eds), Teaneck, NJ: Singapore World Scientific
-
Beretta, E., and Capasso, V., 1986. “ Global stability results for a multigroup SIR epidemic model ”. In Mathematical Ecology, Edited by:Hallam, T. G., Gross, L. J., and Levin, S. A., 317–342. Teaneck, NJ:Singapore World Scientific.
-
(1986)
Mathematical Ecology
, pp. 317-342
-
-
Beretta, E.1
Capasso, V.2
-
4
-
-
0034923771
-
Endemic model with arbitrarily distributed periods of infection I. General theory
-
Feng, Z., and Thieme, H. R., 2000. Endemic model with arbitrarily distributed periods of infection I. General theory. SIAM J. Appl. Math., 61:803–833.
-
(2000)
SIAM J. Appl. Math.
, vol.61
, pp. 803-833
-
-
Feng, Z.1
Thieme, H.R.2
-
5
-
-
0000361466
-
Uniform persistence and flows near a closed positively invariant set
-
Freedman, H. I., Tang, M. X., and Ruan, S. G., 1994. Uniform persistence and flows near a closed positively invariant set. J. Dynam. Diff. Equat., 6:583–600.
-
(1994)
J. Dynam. Diff. Equat.
, vol.6
, pp. 583-600
-
-
Freedman, H.I.1
Tang, M.X.2
Ruan, S.G.3
-
6
-
-
33750693054
-
Mathematical study of a staged-progression HIV model with imperfect vaccine
-
Gumel, A. B., McCluskey, C. C., and van den Driessche, P., 2006. Mathematical study of a staged-progression HIV model with imperfect vaccine. ull. Math. Bio., 68:2105–2128.
-
(2006)
Ull. Math. Bio.
, vol.68
, pp. 2105-2128
-
-
Gumel, A.B.1
McCluskey, C.C.2
van den Driessche, P.3
-
7
-
-
33847001630
-
Global dynamics of a staged progression model for infectious diseases
-
Guo, H., and Li, M. Y., 2006. Global dynamics of a staged progression model for infectious diseases. Math. Biosci. Eng., 3:513–525.
-
(2006)
Math. Biosci. Eng.
, vol.3
, pp. 513-525
-
-
Guo, H.1
Li, M.Y.2
-
8
-
-
0029899169
-
Use of immunological markers and continuous-time Markov models to estimate progression of HIV infection in homosexual men
-
Hendriks, J. C., 1996. Use of immunological markers and continuous-time Markov models to estimate progression of HIV infection in homosexual men. AIDS, 10:649–656.
-
(1996)
AIDS
, vol.10
, pp. 649-656
-
-
Hendriks, J.C.1
-
9
-
-
0025919067
-
A simulation model of AIDS in San Francisco: I. Model formulation and parameter estimation
-
Hethcote, H. W., Van Ark, J. W., and Longini, I. M., Jr. 1991. A simulation model of AIDS in San Francisco:I. Model formulation and parameter estimation. Math. Biosci., 106:203–222.
-
(1991)
Math. Biosci.
, vol.106
, pp. 203-222
-
-
Hethcote, H.W.1
Van Ark, J.W.2
Longini, I.M.3
-
11
-
-
0033073528
-
The differential infectivity and staged progression models for the transmission of HIV
-
Hyman, J. M., Li, J., and Stanley, E. A., 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
-
12
-
-
0024205659
-
Modelling and analyzing HIV transmission: The effect of contact patterns
-
Jacquez, J. A., 1988. Modelling and analyzing HIV transmission:The effect of contact patterns. Math. Biosci., 92:119–199.
-
(1988)
Math. Biosci.
, vol.92
, pp. 119-199
-
-
Jacquez, J.A.1
-
13
-
-
3042703290
-
Lyapunov functions and global properties for SEIR and SEIS epidemic models
-
Korobeinikov, A., 2004. Lyapunov functions and global properties for SEIR and SEIS epidemic models. Math. Med. Bio., 21:75–83.
-
(2004)
Math. Med. Bio.
, vol.21
, pp. 75-83
-
-
Korobeinikov, A.1
-
14
-
-
27244439640
-
A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence
-
Korobeinikov, A., and Maini, P. K., 2004. A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence. Math. Biosci. Eng., 1:57–60.
-
(2004)
Math. Biosci. Eng.
, vol.1
, pp. 57-60
-
-
Korobeinikov, A.1
Maini, P.K.2
-
15
-
-
31244431623
-
Lyapunov functions and global stability for SIR, SIRS, SIS epidemiological models
-
Korobeinikov, A., and Wake, G. C., 2002. Lyapunov functions and global stability for SIR, SIRS, SIS epidemiological models. Appl. Math. Lett., 15:955–961.
-
(2002)
Appl. Math. Lett.
, vol.15
, pp. 955-961
-
-
Korobeinikov, A.1
Wake, G.C.2
-
16
-
-
0004117857
-
The Stability of Dynamical Systems
-
LaSalle, J. P., 1976. The Stability of Dynamical Systems. SIAM, Philadelphia
-
(1976)
SIAM, Philadelphia
-
-
LaSalle, J.P.1
-
17
-
-
0028817626
-
Global stability for the SEIR model in epidemiology
-
Li, M. Y., and Muldowney, J. S., 1995. Global stability for the SEIR model in epidemiology. Math. Biosci., 125:155–164.
-
(1995)
Math. Biosci.
, vol.125
, pp. 155-164
-
-
Li, M.Y.1
Muldowney, J.S.2
-
18
-
-
0027452018
-
An epidemiological model for HIV/AIDS with proportional recruitment
-
Lin, X., Hethcote, H. W., and van den Driessche, P., 1993. An epidemiological model for HIV/AIDS with proportional recruitment. Math. Biosci., 118:181–195.
-
(1993)
Math. Biosci.
, vol.118
, pp. 181-195
-
-
Lin, X.1
Hethcote, H.W.2
van den Driessche, P.3
-
19
-
-
0025719368
-
The dynamics of CD4+ T-lymphocyte decline in HIV-infected individuals: A Markov modeling approach
-
Longini, I. M., 1991. The dynamics of CD4+ T-lymphocyte decline in HIV-infected individuals:A Markov modeling approach. J. AIDS, 4:1141–1147.
-
(1991)
J. AIDS
, vol.4
, pp. 1141-1147
-
-
Longini, I.M.1
-
20
-
-
0037210843
-
A model of HIV/AIDS with staged progression and amelioration
-
McCluskey, C. C., 2003. A model of HIV/AIDS with staged progression and amelioration. Math. Biosci., 181:1–16.
-
(2003)
Math. Biosci.
, vol.181
, pp. 1-16
-
-
McCluskey, C.C.1
-
21
-
-
0001918317
-
Mathematical analysis of HIV-1 dynamics in vivo
-
Perelson, A., and Nelson, P., 1999. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev., 41:344
-
(1999)
SIAM Rev.
, vol.41
, pp. 344
-
-
Perelson, A.1
Nelson, P.2
-
22
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
van den Driessche, P., and 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
|