-
2
-
-
0034108662
-
A delay-differential equation model of HIV infection of CD4+T cells
-
R.V. Culshaw, and S. Ruan A delay-differential equation model of HIV infection of CD4+T cells Math. Biosci. 165 2000 27 39
-
(2000)
Math. Biosci.
, vol.165
, pp. 27-39
-
-
Culshaw, R.V.1
Ruan, S.2
-
3
-
-
33644556174
-
Mathematical analysis of the global dynamics of a model for HIV infection of CD4+T cells
-
L. Wang, and M.Y. Li Mathematical analysis of the global dynamics of a model for HIV infection of CD4+T cells Math. Biosci. 200 2006 44 57
-
(2006)
Math. Biosci.
, vol.200
, pp. 44-57
-
-
Wang, L.1
Li, M.Y.2
-
4
-
-
34547673061
-
Emergence of HIV-1 drug resistance during antiretroviral treatment
-
L. Rong, Z. Feng, and A.S. Perelson Emergence of HIV-1 drug resistance during antiretroviral treatment Bull. Math. Biol. 69 2007 2027 2060
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 2027-2060
-
-
Rong, L.1
Feng, Z.2
Perelson, A.S.3
-
5
-
-
0037174279
-
A competitive numerical method for a chemotherapy model of two HIV subtypes
-
A.B. Gumel A competitive numerical method for a chemotherapy model of two HIV subtypes Appl. Math. Comput. 131 2002 329 337
-
(2002)
Appl. Math. Comput.
, vol.131
, pp. 329-337
-
-
Gumel, A.B.1
-
6
-
-
65549146322
-
Oscillatory viral dynamics in a delay HIV pathogenesis model
-
Y. Wang, Y. Zhou, J. Wu, and J. Heffernan Oscillatory viral dynamics in a delay HIV pathogenesis model Math. Biosci. 219 2009 104 112
-
(2009)
Math. Biosci.
, vol.219
, pp. 104-112
-
-
Wang, Y.1
Zhou, Y.2
Wu, J.3
Heffernan, J.4
-
7
-
-
45749084503
-
Impact of delays in cell infection and virus production on HIV-1 dynamics
-
H. Zhu, and X. Zuo Impact of delays in cell infection and virus production on HIV-1 dynamics Math. Med. Biol. 25 2008 99 112
-
(2008)
Math. Med. Biol.
, vol.25
, pp. 99-112
-
-
Zhu, H.1
Zuo, X.2
-
8
-
-
33745685476
-
Global stability in a viral infection model with lytic and nonlytic immune responses
-
K. Wang, W. Wang, and X. Liu Global stability in a viral infection model with lytic and nonlytic immune responses Comput. Math. Appl. 51 2006 1593 1610
-
(2006)
Comput. Math. Appl.
, vol.51
, pp. 1593-1610
-
-
Wang, K.1
Wang, W.2
Liu, X.3
-
10
-
-
0029985351
-
Population dynamics of immune responses to persistent viruses
-
M.A. Nowak, and C.R.M. Bangham Population dynamics of immune responses to persistent viruses Science 272 1996 74 79
-
(1996)
Science
, vol.272
, pp. 74-79
-
-
Nowak, M.A.1
Bangham, C.R.M.2
-
11
-
-
0001918317
-
Mathematical models of HIV dynamics in vivo
-
A.S. Perelson, and P.W. Nelson Mathematical models of HIV dynamics in vivo SIAM Rev. 41 1999 3 44
-
(1999)
SIAM Rev.
, vol.41
, pp. 3-44
-
-
Perelson, A.S.1
Nelson, P.W.2
-
12
-
-
0036297271
-
Mathematical analysis of delay differential equation models of HIV-1 infection
-
P. Nelson, and A. Perelson Mathematical analysis of delay differential equation models of HIV-1 infection Math. Biosci. 179 2002 73 94
-
(2002)
Math. Biosci.
, vol.179
, pp. 73-94
-
-
Nelson, P.1
Perelson, A.2
-
13
-
-
3042695365
-
Global properties of basic virus dynamics models
-
A. Korobeinikov Global properties of basic virus dynamics models Bull. Math. Biol. 66 2004 879 883
-
(2004)
Bull. Math. Biol.
, vol.66
, pp. 879-883
-
-
Korobeinikov, A.1
-
15
-
-
77955173254
-
Global dynamics of an in-host viral model with intracellular delay
-
M.Y. Li, and H. Shu Global dynamics of an in-host viral model with intracellular delay Bull. Math. Biol. 72 2010 1492 1505
-
(2010)
Bull. Math. Biol.
, vol.72
, pp. 1492-1505
-
-
Li, M.Y.1
Shu, H.2
-
16
-
-
34247582734
-
Global stability for a virus dynamics model with nonlinear incidence of infection and removal
-
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 337 353
-
(2006)
SIAM J. Appl. Math.
, vol.67
, pp. 337-353
-
-
Georgescu, P.1
Hsieh, Y.-H.2
-
17
-
-
77956234983
-
Impact of intracellular delays and target-cell dynamics on in vivo viral infections
-
M.Y. Li, and H. Shu Impact of intracellular delays and target-cell dynamics on in vivo viral infections SIAM J. Appl. Math. 70 2010 2434 2448
-
(2010)
SIAM J. Appl. Math.
, vol.70
, pp. 2434-2448
-
-
Li, M.Y.1
Shu, H.2
-
18
-
-
70349162754
-
Global properties for virus dynamics model with Beddington-DeAngelis functional response
-
G. Huang, W. Ma, and Y. Takeuchi Global properties for virus dynamics model with Beddington-DeAngelis functional response Appl. Math. Lett. 22 2009 1690 1693
-
(2009)
Appl. Math. Lett.
, vol.22
, pp. 1690-1693
-
-
Huang, G.1
Ma, W.2
Takeuchi, Y.3
-
19
-
-
34347272262
-
Asymptotic properties of an HIV-1 infection model with time delay
-
D. Li, and W. Ma Asymptotic properties of an HIV-1 infection model with time delay J. Math. Anal. Appl. 335 2007 683 691
-
(2007)
J. Math. Anal. Appl.
, vol.335
, pp. 683-691
-
-
Li, D.1
Ma, W.2
-
20
-
-
77955746205
-
Global properties of a class of HIV models
-
A.M. Elaiw Global properties of a class of HIV models Nonlinear Anal. RWA 11 2010 2253 2263
-
(2010)
Nonlinear Anal. RWA
, vol.11
, pp. 2253-2263
-
-
Elaiw, A.M.1
-
21
-
-
84861737820
-
A delayed HIV-1 infection model with Beddington-DeAngelis functional response
-
X. Wang, Y. Tao, and X. Song A delayed HIV-1 infection model with Beddington-DeAngelis functional response Nonlinear Dyn 62 2010 67 72
-
(2010)
Nonlinear Dyn
, vol.62
, pp. 67-72
-
-
Wang, X.1
Tao, Y.2
Song, X.3
-
23
-
-
34547655762
-
Global properties of infectious disease models with nonlinear incidence
-
A. Korobeinikov Global properties of infectious disease models with nonlinear incidence Bull. Math. Biol. 69 2007 1871 1886
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 1871-1886
-
-
Korobeinikov, A.1
-
24
-
-
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
-
25
-
-
79953211808
-
Global dynamics of a mathematical model for HTLV-I infection of CD4+T-cells
-
L. Cai, X. Li, and M. Ghosh Global dynamics of a mathematical model for HTLV-I infection of CD4+T-cells Appl. Math. Model. 35 2011 3587 3595
-
(2011)
Appl. Math. Model.
, vol.35
, pp. 3587-3595
-
-
Cai, L.1
Li, X.2
Ghosh, M.3
-
26
-
-
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. RAW 11 2010 55 59
-
(2010)
Nonlinear. Anal. RAW
, vol.11
, pp. 55-59
-
-
McCluskey, C.C.1
-
27
-
-
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
-
28
-
-
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
-
29
-
-
0000802631
-
Persistence in infinite-dimensional systems
-
J.K. Hale, and P. Waltman Persistence in infinite-dimensional systems SIAM J. Math. Anal. 20 1989 388 395
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 388-395
-
-
Hale, J.K.1
Waltman, P.2
-
30
-
-
0039591930
-
Persistence under relaxed point-dissipativity (with application to an endemic model)
-
R.H. Thieme Persistence under relaxed point-dissipativity (with application to an endemic model) SIAM J. Math. Anal. 24 1993 407 435
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 407-435
-
-
Thieme, R.H.1
-
31
-
-
84857796637
-
A model of HIV-1 infection with two time delays: Mathematical analysis and comparison with patient data
-
K.A. Pawelek, S. Liu, F. Pahlevani, and L. Rong A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data Math. Biosci. 235 2012 98 109
-
(2012)
Math. Biosci.
, vol.235
, pp. 98-109
-
-
Pawelek, K.A.1
Liu, S.2
Pahlevani, F.3
Rong, L.4
-
32
-
-
77951198377
-
A climate-based malaria transmission model with structured vector population
-
Y. Lou, and X. Zhao A climate-based malaria transmission model with structured vector population SIAM J. Appl. Math. 70 6 2010 2023 2044
-
(2010)
SIAM J. Appl. Math.
, vol.70
, Issue.6
, pp. 2023-2044
-
-
Lou, Y.1
Zhao, X.2
-
33
-
-
0346671147
-
The asymptotic behavior of a chemostat model with the Beddington-DeAngelis function response
-
Z. Qiu, J. Yu, and Y. Zou The asymptotic behavior of a chemostat model with the Beddington-DeAngelis function response Math. Biosci. 187 2004 175 187
-
(2004)
Math. Biosci.
, vol.187
, pp. 175-187
-
-
Qiu, Z.1
Yu, J.2
Zou, Y.3
-
34
-
-
0031124171
-
A predator-prey system with stage-structure for predator
-
W. Wang, and L. Chen A predator-prey system with stage-structure for predator Comput. Math. Appl. 33 1997 83 91
-
(1997)
Comput. Math. Appl.
, vol.33
, pp. 83-91
-
-
Wang, W.1
Chen, L.2
|