-
1
-
-
0001430464
-
The population dynamics of microparasites and their invertebrate hosts, Philos
-
R. M. Anderson and R. M. May, The population dynamics of microparasites and their invertebrate hosts, Philos. Trans. Roy. Soc. Lond. Ser. B, 291(1981) 451-524.
-
(1981)
Trans. Roy. Soc. Lond. Ser. B
, vol.291
, pp. 451-524
-
-
Anderson, R.M.1
May, R.M.2
-
2
-
-
0024349915
-
Non-linear phenomena in host-parasite interactions
-
R. M. Anderson, R. M. May and S. Gupta, Non-linear phenomena in host-parasite interactions, Parasitology, 99 (1989) 59-79.
-
(1989)
Parasitology
, vol.99
, pp. 59-79
-
-
Anderson, R.M.1
May, R.M.2
Gupta, S.3
-
4
-
-
0000076167
-
Mutual interference between parasites or predators and its effect on searching efficiency
-
J. R. Beddington, Mutual interference between parasites or predators and its effect on searching efficiency, J. Animal Ecol., 44 (1975) 331-340.
-
(1975)
J. Animal Ecol.
, vol.44
, pp. 331-340
-
-
Beddington, J.R.1
-
5
-
-
0030917156
-
Virus dynamics and drug therapy
-
S. Bonhoeffer, R. M. May, G. M. Shaw and M. A. Nowak, Virus dynamics and drug therapy. Proc. Natl Acad. Sci., 94 (1997) 6971-6976.
-
(1997)
Proc. Natl Acad. Sci.
, vol.94
, pp. 6971-6976
-
-
Bonhoeffer, S.1
May, R.M.2
Shaw, G.M.3
Nowak, M.A.4
-
6
-
-
0034108662
-
A delay-differential equation model of HIV infection of CD4+ T-cells
-
R. V. Culshaw and S. G. 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.G.2
-
8
-
-
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. Heesterbeek 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
Heesterbeek, J.A.P.2
Metz, J.A.J.3
-
9
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibra for compartmental models of disease trensmission
-
P. V. D. Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibra for compartmental models of disease trensmission, Math. Biosci., 180 (2002) 29-48.
-
(2002)
Math. Biosci.
, vol.180
, pp. 29-48
-
-
Driessche, P.V.D.1
Watmough, J.2
-
10
-
-
0033952043
-
Does effects and densitydependent regulation of two microparasites of Daphnia magna
-
D. Ebert, C. D. Zschokke-Rohringer and H. J. Carius, Does effects and densitydependent regulation of two microparasites of Daphnia magna, Oecologia, 122 (2000) 200-209.
-
(2000)
Oecologia
, vol.122
, pp. 200-209
-
-
Ebert, D.1
Zschokke-Rohringer, C.D.2
Carius, H.J.3
-
11
-
-
84862576560
-
Global stability of HIV infection models with intracellular delays
-
A. Elaiw, I. Hassanien and S. Azoz, Global stability of HIV infection models with intracellular delays. J. Korean. Math. Soc., 49 (2012) 779-794.
-
J. Korean. Math. Soc.
, vol.49
, Issue.2012
, pp. 779-794
-
-
Elaiw, A.1
Hassanien, I.2
Azoz, S.3
-
12
-
-
58049164600
-
Dynamics of a delay differential equation model of hepatitis B virus infection
-
S. A. Gourley, Y. Kuang and J. D. Nagy, Dynamics of a delay differential equation model of hepatitis B virus infection, J. Biol. Dyn., 2 (2008) 140-153.
-
(2008)
J. Biol. Dyn.
, vol.2
, pp. 140-153
-
-
Gourley, S.A.1
Kuang, Y.2
Nagy, J.D.3
-
13
-
-
0029957041
-
Viral dynamics in vivo: Limitations on estimations on intracellular delay and virus delay
-
V. Herz, S. Bonhoeffer, R. Anderson, R. M. May and M. A. Nowak, Viral dynamics in vivo: Limitations on estimations on intracellular delay and virus delay, Proc. Natl. Acad. Sci., 93 (1996) 7247-7251.
-
(1996)
Proc. Natl. Acad. Sci.
, vol.93
, pp. 7247-7251
-
-
Herz, V.1
Bonhoeffer, S.2
Anderson, R.3
May, R.M.4
Nowak, M.A.5
-
14
-
-
84886069273
-
On the dynamics of two-consumers-one-resource competing systems with Beddinton-DeAngelis functional response
-
S. B. Hsu, S. Ruan and T. Yang, on the dynamics of two-consumers-one-resource competing systems with Beddinton-DeAngelis functional response, Discrete. Conti. Dyn. Sys.-B., 18 (2013) 2331-2353. doi:10.3934/dcdsb.2013.18.2331.
-
(2013)
Discrete. Conti. Dyn. Sys.-B.
, vol.18
, pp. 2331-2353
-
-
Hsu, S.B.1
Ruan, S.2
Yang, T.3
-
15
-
-
79953187556
-
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
-
G. Huang, W. Ma and Y. Takeuchi, Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. Appl. Math. Lett., 24 (2011) 1199-1203.
-
(2011)
Appl. Math. Lett.
, vol.24
, pp. 1199-1203
-
-
Huang, G.1
Ma, W.2
Takeuchi, Y.3
-
16
-
-
77956236840
-
Lyapunov functionals for delay differential equations model of viral infections
-
G. Huang, Y. Takeuchi and W. Ma, Lyapunov functionals for delay differential equations model of viral infections, SIAM J. Appl. Math., 70 (2010) 2693-2708.
-
(2010)
SIAM J. Appl. Math.
, vol.70
, pp. 2693-2708
-
-
Huang, G.1
Takeuchi, Y.2
Ma, W.3
-
17
-
-
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
-
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
-
-
84884157112
-
Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response
-
C. Lv, L. Huang and Z. Yuan, Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response, Commun. Nonl. Sci. Numer. Simulat., 19 (2014) 121-127.
-
(2014)
Commun. Nonl. Sci. Numer. Simulat.
, vol.19
, pp. 121-127
-
-
Lv, C.1
Huang, L.2
Yuan, Z.3
-
21
-
-
70349392965
-
Global stability for an SIER epidemiological model with varying infectivity and infinite delay
-
C. C. McCluskey, Global stability for an SIER 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
-
22
-
-
0032168279
-
Influence of delayed virus production on viral dynamics in HIV-1 infected patients
-
J. Mittler, B. Sulzer, A. Neumann and A. Perelson, Influence of delayed virus production on viral dynamics in HIV-1 infected patients, Math. Biosci., 152 (1998) 143-163.
-
(1998)
Math. Biosci.
, vol.152
, pp. 143-163
-
-
Mittler, J.1
Sulzer, B.2
Neumann, A.3
Perelson, A.4
-
23
-
-
24344443729
-
Stability analysis of pathogen-immune interaction dynamics
-
A. Murase, T. Sasaki and T. Kajiwara, Stability analysis of pathogen-immune interaction dynamics, J. Math. Biol., 51 (2005) 247-267.
-
(2005)
J. Math. Biol.
, vol.51
, pp. 247-267
-
-
Murase, A.1
Sasaki, T.2
Kajiwara, T.3
-
24
-
-
78149359472
-
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
-
Y. Nakata, Global dynamics of a cell mediated immunity in viral infection models with distributed delays, J. Math. Anal. Appl., 375 (2011) 14-27.
-
(2011)
J. Math. Anal. Appl.
, vol.375
, pp. 14-27
-
-
Nakata, Y.1
-
25
-
-
0034005931
-
Perelson, A model of HIV-1 pathogenesis that includes an intracellular delay
-
P. W. Nelson, J. D. Murray and A. S. Perelson, A model of HIV-1 pathogenesis that includes an intracellular delay, Math. Biosci., 163 (2000) 201-215.
-
(2000)
Math. Biosci.
, vol.163
, pp. 201-215
-
-
Nelson, P.W.1
Murray, J.D.2
Perelson, A.S.3
-
27
-
-
84905278131
-
Global stability analysis of predator-prey model with harvesting and delay
-
R. Ouncharoen, S. Pinjai, Th. Dumrongpokaphan and Y. Lenbury, Global stability analysis of predator-prey model with harvesting and delay, Thai. J. Math., 8 (2010) 589-605.
-
(2010)
Thai. J. Math.
, vol.8
, pp. 589-605
-
-
Ouncharoen, R.1
Pinjai, S.2
Dumrongpokaphan, T.3
Lenbury, Y.4
-
28
-
-
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
-
29
-
-
1842465386
-
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
-
S. Ruan and J. Wei, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays Dyn. Contin. Discret. I., 10 (2003) 863-874.
-
(2003)
Dyn. Contin. Discret. I.
, vol.10
, pp. 863-874
-
-
Ruan, S.1
Wei, J.2
-
30
-
-
34548424552
-
Siliciano, Limits on replenishment of the resting CD4+T cell reservoir for HIV in patients on HAART
-
A. R. Sedaghat, J. D. Siliciano, T. P. Brennan, C. O. Wilke and R. F. Siliciano, Limits on replenishment of the resting CD4+T cell reservoir for HIV in patients on HAART, PLoS Pathog., 3 (2007) e122.
-
(2007)
PLoS Pathog.
, vol.3
, pp. e122
-
-
Sedaghat, A.R.1
Siliciano, J.D.2
Brennan, T.P.3
Wilke, C.O.4
Siliciano, R.F.5
-
31
-
-
84884128689
-
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immunue responses
-
H. Shu, L. Wang and J. Watmough, Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immunue responses, SIAM J. Appl. Math., 73(2013) 1280-1302.
-
(2013)
SIAM J. Appl. Math.
, vol.73
, pp. 1280-1302
-
-
Shu, H.1
Wang, L.2
Watmough, J.3
-
32
-
-
84898930647
-
Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response
-
X. Tian and R. Xu, Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response, Appl. Math. Comput., 237 (2014) 146-154.
-
(2014)
Appl. Math. Comput.
, vol.237
, pp. 146-154
-
-
Tian, X.1
Xu, R.2
-
33
-
-
84887462342
-
Global dynamics of a virus dynamical model with general incidence rate and cure rate
-
Y. Tian and X. Liu, Global dynamics of a virus dynamical model with general incidence rate and cure rate, Nonl. Anal.: RWA, 16 (2014) 17-26.
-
(2014)
Nonl. Anal.: RWA
, vol.16
, pp. 17-26
-
-
Tian, Y.1
Liu, X.2
-
34
-
-
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. Nonl. Dyn., 62 (2010) 67-72.
-
(2010)
Nonl. Dyn.
, vol.62
, pp. 67-72
-
-
Wang, X.1
Tao, Y.2
Song, X.3
-
35
-
-
82255173693
-
Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
-
X. Wang, Y. Tao and X. Song, Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response. Nonl. Dyn., 66 ( 2011) 825-830.
-
(2011)
Nonl. Dyn.
, vol.66
, pp. 825-830
-
-
Wang, X.1
Tao, Y.2
Song, X.3
-
36
-
-
33846645886
-
Complex dynamic behavior in a viral model with delayed immune response
-
K. Wang, W. Wang, H. Pang and X. Liu, Complex dynamic behavior in a viral model with delayed immune response, Phys. D, 226 (2) (2007) 197-208.
-
(2007)
Phys. D
, vol.226
, Issue.2
, pp. 197-208
-
-
Wang, K.1
Wang, W.2
Pang, H.3
Liu, X.4
-
37
-
-
0038827434
-
Hepatitis C virus dynamics and pathology: The role of CTL and antibody responses
-
D. Wodarz, Hepatitis C virus dynamics and pathology: The role of CTL and antibody responses, J. Gen. Virol., 84 (2003) 1743-1750.
-
(2003)
J. Gen. Virol.
, vol.84
, pp. 1743-1750
-
-
Wodarz, D.1
-
38
-
-
84860470609
-
Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection
-
ID 1260012
-
R. Xu, Global dynamics of a delayed HIV-1 infection model with absorption and saturation infection, Int. J. Biomath., 5 (3)(2012) ID 1260012 (13 pages).
-
(2012)
Int. J. Biomath.
, vol.5
, Issue.3
, pp. 13
-
-
Xu, R.1
-
39
-
-
79958267634
-
Global stability of the viral dynamics with Crowley-Martin functional response
-
X. Zhou and J. Cui, Global stability of the viral dynamics with Crowley-Martin functional response, Bull. Korean Math. Soc., 48 (2011) 555-574.
-
(2011)
Bull. Korean Math. Soc.
, vol.48
, pp. 555-574
-
-
Zhou, X.1
Cui, J.2
|