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Volumn 7, Issue 3, 2011, Pages 230-240

An HIV/AIDS model with vertical transmission and time delay

Author keywords

Global stability; Hiv aids; Local stability; Maturity period; Time delay; Vertical transmission

Indexed keywords


EID: 83655192778     PISSN: 17467233     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (21)
  • 1
    • 41949125685 scopus 로고    scopus 로고
    • Global stability of an SIR epidemic model with constant infectios period
    • F. Zhang, Z. Li, F. Zhang. Global stability of an SIR epidemic model with constant infectios period. Applied Mathematics and Computation, 2008, 199: 285-291.
    • (2008) Applied Mathematics and Computation , vol.199 , pp. 285-291
    • Zhang, F.1    Li, Z.2    Zhang, F.3
  • 4
    • 40849115174 scopus 로고    scopus 로고
    • Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system
    • J. Zhang, W. Li, X. Yan. Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system. Applied Mathematics and Computation, 2008, 198(2): 865-876.
    • (2008) Applied Mathematics and Computation , vol.198 , Issue.2 , pp. 865-876
    • Zhang, J.1    Li, W.2    Yan, X.3
  • 6
    • 34248219887 scopus 로고    scopus 로고
    • Dynamics of an HIV/AIDS model: The effect of time delay
    • S. Kovacs. Dynamics of an HIV/AIDS model: The effect of time delay. Applied Mathematics and Computation, 2007, 188(2): 1597-1609.
    • (2007) Applied Mathematics and Computation , vol.188 , Issue.2 , pp. 1597-1609
    • Kovacs, S.1
  • 8
    • 33846561621 scopus 로고    scopus 로고
    • Global stability of a delayed SIR epidemic model with density dependent birth and death rates
    • N. Yoshida, T. Hara. Global stability of a delayed SIR epidemic model with density dependent birth and death rates. Journal of Computational and Applied Mathematics, 2007, 201: 339-347.
    • (2007) Journal of Computational and Applied Mathematics , vol.201 , pp. 339-347
    • Yoshida, N.1    Hara, T.2
  • 9
    • 84867960899 scopus 로고    scopus 로고
    • An epidemic model with a time delay in transmission
    • Q. Khan, E. Krishnan. An epidemic model with a time delay in transmission. Applications of Mathematics, 2003, 3: 193-203.
    • (2003) Applications of Mathematics , vol.3 , pp. 193-203
    • Khan, Q.1    Krishnan, E.2
  • 10
    • 33746253677 scopus 로고    scopus 로고
    • Modelling the spread of AIDS epidemic with vertical transmission
    • R. Naresh, A. Tripathi, S. Omar. Modelling the spread of AIDS epidemic with vertical transmission. Applied Mathematics and Computation, 2006, 178: 262-272.
    • (2006) Applied Mathematics and Computation , vol.178 , pp. 262-272
    • Naresh, R.1    Tripathi, A.2    Omar, S.3
  • 12
    • 23844460516 scopus 로고    scopus 로고
    • Dynamics of a logistic population model with maturation delay and nonlinear birth rate
    • S. Ma, Q. Lu, M. Song. Dynamics of a logistic population model with maturation delay and nonlinear birth rate. Discrete and Continuous Dynamical Systems, 2005, 5(3): 735-752.
    • (2005) Discrete and Continuous Dynamical Systems , vol.5 , Issue.3 , pp. 735-752
    • Ma, S.1    Lu, Q.2    Song, M.3
  • 14
    • 10644240707 scopus 로고    scopus 로고
    • Global stability of an SIR epidemic model with time delay
    • W. Ma, M. Song, Y. Takeuchi. Global stability of an SIR epidemic model with time delay. Applied Mathematics Letters, 2004, 17: 1141-1145.
    • (2004) Applied Mathematics Letters , vol.17 , pp. 1141-1145
    • Ma, W.1    Song, M.2    Takeuchi, Y.3
  • 15
    • 34548849467 scopus 로고    scopus 로고
    • Stability and hopf bifurcation for a delayed prey- predator system with diffusion effects
    • X. Yan. Stability and hopf bifurcation for a delayed prey- predator system with diffusion effects. Applied Mathematics and Computation, 2007, 192: 552-566.
    • (2007) Applied Mathematics and Computation , vol.192 , pp. 552-566
    • Yan, X.1
  • 16
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delayed sir model with temporary immunity and nonlinear incidence rate
    • Y. Kyrychko, K. Blyuss. Global properties of a delayed sir model with temporary immunity and nonlinear incidence rate. Nonlinear Analysis: Real World Applications, 2005, 6: 495-507.
    • (2005) Nonlinear Analysis: Real World Applications , vol.6 , pp. 495-507
    • Kyrychko, Y.1    Blyuss, K.2
  • 17
    • 28444444207 scopus 로고    scopus 로고
    • Bifurcation analysis in a predator- prey system with time delay
    • Y. Song, S. Yan Bifurcation analysis in a predator- prey system with time delay. Nonlinear Analysis: Real World Applications, 2006, 7(2): 265-284.
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , Issue.2 , pp. 265-284
    • Song, Y.1    Yan, S.2
  • 19
    • 56549121935 scopus 로고    scopus 로고
    • Stability and hopf bifurcation analysis on a prey- predator model with discrete and distributed delays
    • Z. Ma, H. Huo, C. Liu. Stability and hopf bifurcation analysis on a prey- predator model with discrete and distributed delays. Nonlinear Analysis: Real World Applications, 2009, 10(2): 1160-1172.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , Issue.2 , pp. 1160-1172
    • Ma, Z.1    Huo, H.2    Liu, C.3
  • 20
    • 67650489777 scopus 로고    scopus 로고
    • Mathematical analysis of a model for HIV-malaria co-infection
    • Z. Mukandavire, A. Gumel. Mathematical analysis of a model for HIV-malaria co-infection. Mathematical Biosciences and Engineering, 2009, 6(2): 333-363.
    • (2009) Mathematical Biosciences and Engineering , vol.6 , Issue.2 , pp. 333-363
    • Mukandavire, Z.1    Gumel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.