1 |
R. V. Culshaw, S. G. Ruan, and R. J. Spiteri, Optimal HIV treatment by maximising immune response, J. Math. Biol. 48 (2004), no. 5, 545-562.
DOI
|
2 |
F. R. Gantmacher, The Theory of Matrices, Chelsea Publ. Co., New York, 1959.
|
3 |
M. W. Hirsch, Systems of differential equations which are competitive or cooperative IV, SIAM J. Math. Anal. 21 (1990), 1225-1234.
DOI
|
4 |
A. S. Perelson and P. W. Nelson, Mathematical analysis of HIV-I dynamics in vivo, SIAM Rev. 41 (1999), 3-44.
DOI
ScienceOn
|
5 |
A. S. Perelson, A. U. Neumann, M. Markowitz, et al., HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time, Science 271 (1996), 1582-1586.
DOI
ScienceOn
|
6 |
H. L. Smith, Monotone dynamical systems: An Introduction to the theory of competitive and cooperative systems, Trans. Amer. Math. Soc., vol. 41, 1995.
|
7 |
H. L. Smith , Systems of ordinary differential equations which generate an order preserving flow, SIAM Rev. 30 (1998), 87-98.
|
8 |
X. Y. Song and A. U. Neumann, Global stability and periodic solution of the viral dynamics, J. Math. Anal. Appl. 329 (2007), no. 1, 281-297.
DOI
ScienceOn
|
9 |
H. R. Thieme, Persistence under relaxed point-dissipativity (with applications to an endemic model), SIAMJ. Math. Anal. 24 (1993), 407-435.
DOI
ScienceOn
|
10 |
X. Y. Zhou, X. Y. Song, and X. Y. Shi, A differential equation model of HIV infection of CD4+CD4+ T-cells with cure rate, J. Math. Anal. Appl. 342 (2008), no. 2, 1342-1355.
DOI
ScienceOn
|
11 |
X. Y. Zhou, X. Y. Song, and X. Y. Shi, Analysis of stability and Hopf bifurcation for an HIV infection model with time delay, Appl. Math. Comput. 199 (2008), no. 1, 23-38.
DOI
ScienceOn
|
12 |
H. R. Zhu and H. L. Smith, Stable periodic orbits for a class of three-dimensional competitive systems, J. Differential Equations 110 (1994), no. 1, 143-156.
DOI
ScienceOn
|
13 |
A. R. McLean and T. B. L. Kirkwood, A model of human immunodeciency virus infection in T helper cell clones, J. Theor. Biol. 147 (1990), 177-203.
DOI
|
14 |
P. De Leenheer and H. L. Smith, Virus dynamics: a global analysis, SIAM J. Appl. Math. 63 (2003), no. 4, 1313-1327.
DOI
ScienceOn
|
15 |
D. Li and W. Ma, Asymptotic properties of a HIV-1 infection model with time delay, J. Math. Anal. Appl. 335 (2007), no. 1, 683-691.
DOI
ScienceOn
|
16 |
A. L. Lloyd, The dependence of viral parameter estimates on the assumed viral life cycle: limitations of studies of viral load data, Proc. R. Soc. Lond. B 268 (2001), 847-854.
DOI
ScienceOn
|
17 |
A. R. McLean, M. M. Rosado, F. Agenes, R. Vasconcellos, and A. A. Freitas, Resource competition as a mechanism for B cell homeostasis, Proc. Natl Acad. Sci. USA 94 (1997), 5792-5797.
DOI
|
18 |
L. Q. Min, Y. M. Su, and Y. Kuang, Mathematical analysis of a basic virus infection model with application to HBV infection, Rocky Mountain J. Math. 38 (2008), no. 5, 1573-1585.
DOI
ScienceOn
|
19 |
J. E. Mittler, B. Sulzer, A. U. Neumann, and A. S. Perelson, In uence of delayed viral production on viral dynamics in HIV-1 infected patients, Math. Biosci. 152 (1998), 143-163.
DOI
ScienceOn
|
20 |
J. S. Muldowney, Compound matrices and ordinary differential equations, Rocky Mountain J. Math. 20 (1990), no. 4, 857-872.
DOI
|
21 |
N. Nagumo, Uber die lage der integralkurven gewohnlicher differential gleichungen, Proc. Phys-Math. Soc. Japan 24 (1942), 551-559.
|
22 |
S. M. Ciupe, R. M. Ribeiro, P. W. Nelson, and A. S. Perelson, Modeling the mechanisms of acute hepatitis B virus infection, J. Theor. Biol. 247 (2007), no. 1, 23-35.
DOI
ScienceOn
|
23 |
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), no. 2, 201-215.
DOI
ScienceOn
|
24 |
A. S. Perelson, D. E. Kirschner, and R. de Boer, Dynamics of HIV infection of CD4+ T cells, Math. Biosci. 114 (1993), 81-125.
DOI
ScienceOn
|
25 |
S. Bonhoeffer, R. M. May, G. M. Shaw, and M. A. Nowak, Virus dynamics and drug therapy, Proc. Natl. Acad. Sci. USA 94 (1997), 6971-6976.
DOI
|
26 |
P. H. Crowley and E. K. Martin, Functional responses and interference within and between year classes of a dragon y population, J. North. Am. Benth. Soc. 8 (1989), 211-221.
DOI
ScienceOn
|
27 |
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.
DOI
ScienceOn
|