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Volumn 218, Issue 23, 2012, Pages 11505-11517

Hopf bifurcation analysis of delayed model of thymic infection with HIV-1

Author keywords

Delay; HIV 1; Hopf bifurcation; Stability; Thymus model

Indexed keywords

ANALYTICAL RESULTS; ASYMPTOTICALLY STABLE; BIFURCATION PARAMETER; DELAY; DELAYED DIFFERENTIAL EQUATIONS; DELAYED MODELS; EXISTENCE AND STABILITY; HIV-1; HOPF BIFURCATION ANALYSIS;

EID: 84863303112     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.05.038     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0016874140 scopus 로고
    • Development and function of subpopulation of thymocytes and T lymphocytes
    • H. Cantor, and I.L. Weismann Development and function of subpopulation of thymocytes and T lymphocytes Prog. Allergy 20 1976 1 64
    • (1976) Prog. Allergy , vol.20 , pp. 1-64
    • Cantor, H.1    Weismann, I.L.2
  • 3
    • 0025258532 scopus 로고
    • Differentiation of heamotopoietic stem cells in irridiated mouse thymic lobes. Kinetics and phenotype of progeny
    • G.J. Spangrude, and R. Scollay Differentiation of heamotopoietic stem cells in irridiated mouse thymic lobes. Kinetics and phenotype of progeny J. Immunol. 145 1990 3661 3668
    • (1990) J. Immunol. , vol.145 , pp. 3661-3668
    • Spangrude, G.J.1    Scollay, R.2
  • 4
    • 0028406294 scopus 로고
    • Thymic selection: Two pathways to life and two to death
    • C.A. Janeway Thymic selection: two pathways to life and two to death Immunity 1 1994 3 6
    • (1994) Immunity , vol.1 , pp. 3-6
    • Janeway, C.A.1
  • 5
    • 0027220174 scopus 로고
    • HIV induces thymus depletion in vivo
    • M.L. Bonyhadi, L. Rabin, and S. Salimi HIV induces thymus depletion in vivo Nature 363 1993 728 732
    • (1993) Nature , vol.363 , pp. 728-732
    • Bonyhadi, M.L.1    Rabin, L.2    Salimi, S.3
  • 6
    • 0032168279 scopus 로고    scopus 로고
    • Influence of delayed virus production on viral dynamics in HIV-1 infected patients
    • J. Mittler, and B. Sulzer Influence of delayed virus production on viral dynamics in HIV-1 infected patients Math. Biosci. 152 1998 143 149
    • (1998) Math. Biosci. , vol.152 , pp. 143-149
    • Mittler, J.1    Sulzer, B.2
  • 7
    • 0034005931 scopus 로고    scopus 로고
    • A model of HIV-1 pathogenesis that includes an intracellular delay
    • P. Nelson, J. Murray, and A.S. Perelson A model of HIV-1 pathogenesis that includes an intracellular delay Math. Biosci. 163 2000 201 216
    • (2000) Math. Biosci. , vol.163 , pp. 201-216
    • Nelson, P.1    Murray, J.2    Perelson, A.S.3
  • 11
    • 0001352326 scopus 로고
    • The trade-off between mutual interference and time lags in predator prey systems
    • H. Freedman, and V.S.H. Rao The trade-off between mutual interference and time lags in predator prey systems Bull. Math. Biol. 45 1983 991 1004
    • (1983) Bull. Math. Biol. , vol.45 , pp. 991-1004
    • Freedman, H.1    Rao, V.S.H.2
  • 12
    • 0023852121 scopus 로고
    • The human immunodeficiency virus: Infectivity and mechanisms of pathogenesis
    • A.S. Fauci The human immunodeficiency virus: infectivity and mechanisms of pathogenesis Science 239 1988 617 622
    • (1988) Science , vol.239 , pp. 617-622
    • Fauci, A.S.1
  • 13
    • 0036297271 scopus 로고    scopus 로고
    • Mathematical analysis of a delay differential equation models of HIV-1 infection
    • P.W. Nelson, and A.S. Perelson Mathematical analysis of a delay differential equation models of HIV-1 infection Math. Biosci. 179 2002 73 94
    • (2002) Math. Biosci. , vol.179 , pp. 73-94
    • Nelson, P.W.1    Perelson, A.S.2
  • 14
    • 0027528460 scopus 로고
    • A Mathematical model of the effect of aging on bone marrow cells colonizing the thymus
    • R. Mehr, L. Abel, P. Ubezio, A. Globerson, and Z. Agur A Mathematical model of the effect of aging on bone marrow cells colonizing the thymus Mech. Ageing Dev. 67 1993 159 172
    • (1993) Mech. Ageing Dev. , vol.67 , pp. 159-172
    • Mehr, R.1    Abel, L.2    Ubezio, P.3    Globerson, A.4    Agur, Z.5
  • 15
    • 84861987353 scopus 로고    scopus 로고
    • Hopf bifurcation analysis of a delayed viral infection model in computer networks
    • 10.1016/j.mcm.2011.12.010
    • L. Feng, X. Liao, H. Li, and Q. Han Hopf bifurcation analysis of a delayed viral infection model in computer networks Math. Comput. Model. 2011 10.1016/j.mcm.2011.12.010
    • (2011) Math. Comput. Model.
    • Feng, L.1    Liao, X.2    Li, H.3    Han, Q.4
  • 16
    • 78651268455 scopus 로고    scopus 로고
    • Hopf bifurcation analysis of integro-differential equation with unbounded delay
    • L. Zhang, C. Zhang, and D. Zhao Hopf bifurcation analysis of integro-differential equation with unbounded delay Appl. Math. Comput. 217 2011 4972 4979
    • (2011) Appl. Math. Comput. , vol.217 , pp. 4972-4979
    • Zhang, L.1    Zhang, C.2    Zhao, D.3
  • 17
    • 70350716898 scopus 로고    scopus 로고
    • Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure
    • T. Zhang, J. Liu, and Z. Teng Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure Nonlinear Anal. RWA 11 2010 293 306
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 293-306
    • Zhang, T.1    Liu, J.2    Teng, Z.3
  • 19
    • 79955522017 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
    • W. Zuo, and J. Wei Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect Nonlinear Anal. RWA 12 2011 1998 2011
    • (2011) Nonlinear Anal. RWA , vol.12 , pp. 1998-2011
    • Zuo, W.1    Wei, J.2
  • 21
    • 0029967721 scopus 로고    scopus 로고
    • HIV-1 dynamics in vivo: Virion clearance rate, infected cell life-span, and viral generation time
    • A.S. Perelson, A.U. Neumann, M. Markowitz, J.M. Leonard, and D.D. Ho HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time Science 271 1996 1582 1586
    • (1996) Science , vol.271 , pp. 1582-1586
    • Perelson, A.S.1    Neumann, A.U.2    Markowitz, M.3    Leonard, J.M.4    Ho, D.D.5
  • 22
    • 67649213965 scopus 로고    scopus 로고
    • Bifurcation analysis of an epidemic model with nonlinear incidence
    • Guihua Li, and Wendi Wang Bifurcation analysis of an epidemic model with nonlinear incidence Appl. Math. Comput. 214 2009 411 423
    • (2009) Appl. Math. Comput. , vol.214 , pp. 411-423
    • Li, G.1    Wang, W.2
  • 23
    • 83555172509 scopus 로고    scopus 로고
    • Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
    • Yoichi Enatsu, Eleonora Messina, Yoshiaki Muroya, Yukihiko Nakata, Elvira Russo, and Antonia Vecchio Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates Appl. Math. Comput. 218 2012 5327 5336
    • (2012) Appl. Math. Comput. , vol.218 , pp. 5327-5336
    • Enatsu, Y.1    Messina, E.2    Muroya, Y.3    Nakata, Y.4    Russo, E.5    Vecchio, A.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.