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Volumn 34, Issue 4, 2007, Pages 1225-1238

Global stability of a deterministic model for HIV infection in vivo

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DISEASES; MATHEMATICAL MODELS;

EID: 34247332724     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.106     Document Type: Article
Times cited : (23)

References (35)
  • 1
    • 0037411782 scopus 로고    scopus 로고
    • Stability and persistence in plankton models with distributed delays
    • Abdallah S.H. Stability and persistence in plankton models with distributed delays. Chaos, Solitons & Fractals 17 5 (2003) 879-884
    • (2003) Chaos, Solitons & Fractals , vol.17 , Issue.5 , pp. 879-884
    • Abdallah, S.H.1
  • 3
    • 84968505772 scopus 로고
    • Persistence in dynamical systems
    • Butler G.J., and Waltman P. Persistence in dynamical systems. Proc Am Math Soc 96 (1986) 425-430
    • (1986) Proc Am Math Soc , vol.96 , pp. 425-430
    • Butler, G.J.1    Waltman, P.2
  • 5
    • 85126469432 scopus 로고    scopus 로고
    • Dehghan M, Mazrooe-Sebdani R. Some results about the global attractivity of bounded solutions of difference equations with applications to periodic solutions. Chaos, Solitons & Fractals [in press]. doi:10.1016/j.chaos.2005.11.068.
  • 6
    • 0942289945 scopus 로고    scopus 로고
    • Bounds for solutions of a six-point difference equation
    • Dehghan M., and Saadatmandi A. Bounds for solutions of a six-point difference equation. Comput Math Appl 47 (2004) 83-89
    • (2004) Comput Math Appl , vol.47 , pp. 83-89
    • Dehghan, M.1    Saadatmandi, A.2
  • 7
    • 0028670078 scopus 로고
    • Chance and chaos in population biology - models of recurrent epidemics and food chain dynamics
    • Engbert R., and Drepper F.R. Chance and chaos in population biology - models of recurrent epidemics and food chain dynamics. Chaos, Solitons & Fractals 4 7 (1994) 1147-1169
    • (1994) Chaos, Solitons & Fractals , vol.4 , Issue.7 , pp. 1147-1169
    • Engbert, R.1    Drepper, F.R.2
  • 10
    • 0342592534 scopus 로고    scopus 로고
    • Control, synchrony and the persistence of chaotic populations
    • Gamarra J.G.P., Sol R.V., and Alonso D. Control, synchrony and the persistence of chaotic populations. Chaos, Solitons & Fractals 12 2 (2001) 235-249
    • (2001) Chaos, Solitons & Fractals , vol.12 , Issue.2 , pp. 235-249
    • Gamarra, J.G.P.1    Sol, R.V.2    Alonso, D.3
  • 12
    • 0034873259 scopus 로고    scopus 로고
    • Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy
    • Gumel A.B., Loewen T.D., Shivakumar P.N., Sahai B.M., Yu P., and Garba M.L. Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. Comput Biol Med 31 (2001) 287-301
    • (2001) Comput Biol Med , vol.31 , pp. 287-301
    • Gumel, A.B.1    Loewen, T.D.2    Shivakumar, P.N.3    Sahai, B.M.4    Yu, P.5    Garba, M.L.6
  • 14
    • 0035425119 scopus 로고    scopus 로고
    • A mathematical model for the dynamics of HIV-1 during the typical course of infection
    • Gumel A.B., Shivakumar P.N., and Sahai B.M. A mathematical model for the dynamics of HIV-1 during the typical course of infection. Nonlinear Anal 47 (2001) 1773-1783
    • (2001) Nonlinear Anal , vol.47 , pp. 1773-1783
    • Gumel, A.B.1    Shivakumar, P.N.2    Sahai, B.M.3
  • 17
    • 0028817626 scopus 로고
    • Global stability for the SEIR model in epidemiology
    • Li M.Y., and Muldowney J.S. Global stability for the SEIR model in epidemiology. Math Biosci 125 15 (1995) 155-164
    • (1995) Math Biosci , vol.125 , Issue.15 , pp. 155-164
    • Li, M.Y.1    Muldowney, J.S.2
  • 18
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with varying total population size
    • Li M.Y., Graef J.R., Wang L., and Karsai J. Global dynamics of a SEIR model with varying total population size. Math Biosci 160 (1999) 191-213
    • (1999) Math Biosci , vol.160 , pp. 191-213
    • Li, M.Y.1    Graef, J.R.2    Wang, L.3    Karsai, J.4
  • 19
    • 0011409551 scopus 로고
    • On derivations arising in differential equations
    • London D. On derivations arising in differential equations. Linear Multilinear Algebra 4 (1976) 179-189
    • (1976) Linear Multilinear Algebra , vol.4 , pp. 179-189
    • London, D.1
  • 20
    • 0016027180 scopus 로고
    • Logarithmic norms and projections applied to linear differential systems
    • Martin Jr. R.H. Logarithmic norms and projections applied to linear differential systems. J Math Anal Appl 45 (1974) 432-454
    • (1974) J Math Anal Appl , vol.45 , pp. 432-454
    • Martin Jr., R.H.1
  • 22
    • 0000875103 scopus 로고
    • Dichotomies and asymptotic behavior for linear differential systems
    • Muldowney J.S. Dichotomies and asymptotic behavior for linear differential systems. Trans Am Math Soc 283 (1984) 465-584
    • (1984) Trans Am Math Soc , vol.283 , pp. 465-584
    • Muldowney, J.S.1
  • 23
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney J.S. Compound matrices and ordinary differential equations. Rocky Mountain J Math 20 (1990) 857-872
    • (1990) Rocky Mountain J Math , vol.20 , pp. 857-872
    • Muldowney, J.S.1
  • 25
    • 0036680910 scopus 로고    scopus 로고
    • An experimental model to correlate simultaneous body surface and epicardial electropotential recordings in vivo
    • Nash M.P., Bradley C.P., Kardos A., Pullan A.J., and Paterson D.J. An experimental model to correlate simultaneous body surface and epicardial electropotential recordings in vivo. Chaos, Solitons & Fractals 13 8 (2002) 1735-1742
    • (2002) Chaos, Solitons & Fractals , vol.13 , Issue.8 , pp. 1735-1742
    • Nash, M.P.1    Bradley, C.P.2    Kardos, A.3    Pullan, A.J.4    Paterson, D.J.5
  • 26
    • 34247402440 scopus 로고    scopus 로고
    • Nasri M. Modeling HIV-1 Infection in vivo and its numerical simulations. M.Sc. Thesis, Department of Applied Mathematics, Amirkabir University of Technology, November; 2004.
  • 29
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • Perelson A.S., and Nelson P.W. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev 41 1 (1999) 3-44
    • (1999) SIAM Rev , vol.41 , Issue.1 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 31
    • 0026616167 scopus 로고
    • Epidemic and demographic iteraction in the spread of potentially fatal diseases in growing populations
    • Thieme H. Epidemic and demographic iteraction in the spread of potentially fatal diseases in growing populations. Math Biosci 111 (1992) 99-130
    • (1992) Math Biosci , vol.111 , pp. 99-130
    • Thieme, H.1
  • 32
    • 0002231761 scopus 로고
    • A brief survey of persistence
    • Busenberg S., and Martelli M. (Eds), Springer, New York
    • Waltman P. A brief survey of persistence. In: Busenberg S., and Martelli M. (Eds). Delay differential equations and dynamical systems (1991), Springer, New York 31-40
    • (1991) Delay differential equations and dynamical systems , pp. 31-40
    • Waltman, P.1
  • 33
    • 27144540965 scopus 로고    scopus 로고
    • Viral infection model with periodic lytic immune response
    • Wang K., Wang W., and Liu X. Viral infection model with periodic lytic immune response. Chaos, Solitons & Fractals 28 1 (2006) 90-99
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.1 , pp. 90-99
    • Wang, K.1    Wang, W.2    Liu, X.3
  • 34
    • 85126437789 scopus 로고    scopus 로고
    • Yang X, Jin Z, Xue Y. Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input, Chaos, Solitons & Fractals [in press]. doi:10.1016/j.chaos.2005.10.042.
  • 35
    • 85126446150 scopus 로고    scopus 로고
    • n - l + 1). Chaos, Solitons & Fractals, (in press). doi:10.1016/j.chaos.2006.05.52.


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