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Volumn 42, Issue 3, 2009, Pages 1838-1844

Stability and Hopf bifurcation on a model for HIV infection of CD4+ T cells with delay

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; T-CELLS;

EID: 67650424040     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.089     Document Type: Article
Times cited : (9)

References (12)
  • 1
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    • Target cell limited and immune control models of HIV infection: a comparison
    • De Boer R.J., and Perelson A.S. Target cell limited and immune control models of HIV infection: a comparison. J Theor Biol 190 (1998) 201-214
    • (1998) J Theor Biol , vol.190 , pp. 201-214
    • De Boer, R.J.1    Perelson, A.S.2
  • 2
    • 0027532161 scopus 로고
    • Predicting the size of the T-cell receptor and antibody combining region from consideration of efficient self-nonself discrimination
    • Percus J.K., Percus O.E., and Perelson A.S. Predicting the size of the T-cell receptor and antibody combining region from consideration of efficient self-nonself discrimination. Proc Natl Acad Sci USA 90 (1993) 1691-1695
    • (1993) Proc Natl Acad Sci USA , vol.90 , pp. 1691-1695
    • Percus, J.K.1    Percus, O.E.2    Perelson, A.S.3
  • 5
    • 0026574212 scopus 로고
    • Models of interaction between HIV and other pathogens
    • McLean A.R., and Nowak M.A. Models of interaction between HIV and other pathogens. J Theor Biol 155 (1992) 69-102
    • (1992) J Theor Biol , vol.155 , pp. 69-102
    • McLean, A.R.1    Nowak, M.A.2
  • 6
    • 0032168279 scopus 로고    scopus 로고
    • Influence of delayed viral production on viral dynamics in HIV-1 infected patients
    • Mittler J.E., Sulzer B., Neumann A.U., and Perelson A.S. Influence of delayed viral 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.E.1    Sulzer, B.2    Neumann, A.U.3    Perelson, A.S.4
  • 7
    • 0001352326 scopus 로고
    • The trade-off between mutual interference and time lags in predator-prey systems
    • Freedman H., and Rao V.S.H. 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
  • 8
    • 0036297271 scopus 로고    scopus 로고
    • Mathematical analysis of a delay differential equation models of HIV-1 infection
    • Nelson P.W., and Perelson A.S. 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
  • 10
    • 33746705969 scopus 로고
    • Theory and application of Hopf bifurcation. London Math
    • Cambridge University Press;
    • Hassard BD, Kazariniff ND, Wan YH. Theory and application of Hopf bifurcation. London Math. Society lecture, note series, 41. Cambridge University Press; 1981.
    • (1981) Society lecture, note series , vol.41
    • Hassard, B.D.1    Kazariniff, N.D.2    Wan, Y.H.3
  • 11
    • 18444365288 scopus 로고    scopus 로고
    • Hopf bifurcation in REM algorithm with communication delay
    • Yang H., and Tian Y. Hopf bifurcation in REM algorithm with communication delay. Chaos, Solitons and Fractals 25 (2005) 1093-1105
    • (2005) Chaos, Solitons and Fractals , vol.25 , pp. 1093-1105
    • Yang, H.1    Tian, Y.2
  • 12
    • 84863116156 scopus 로고    scopus 로고
    • Lyapunov function and global properties of virus dynamics with CTL immune response
    • Wang X., and Tao Y.D. Lyapunov function and global properties of virus dynamics with CTL immune response. Int J Biomath 1 4 (2008) 443-448
    • (2008) Int J Biomath , vol.1 , Issue.4 , pp. 443-448
    • Wang, X.1    Tao, Y.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.