메뉴 건너뛰기




Volumn 10, Issue 3, 2005, Pages 275-286

Modelling and analysis of hiv-tb co-infection in a variable size population

Author keywords

Equilibrium points; HIV AIDS epidemic; Region of attraction; Stability; TB pathogen

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS;

EID: 27844536931     PISSN: 13926292     EISSN: 16483510     Source Type: Journal    
DOI: 10.1080/13926292.2005.9637287     Document Type: Article
Times cited : (69)

References (23)
  • 1
    • 0024274733 scopus 로고
    • The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS
    • Anderson, R.M., 1988. The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS. Journal of AIDS, 1:241–256.
    • (1988) Journal of AIDS , vol.1 , pp. 241-256
    • Anderson, R.M.1
  • 2
    • 77957175423 scopus 로고
    • A preliminary study of the transmission dynamics of the Human Immunodeficiency virus (HIV), the causative agent of AIDS
    • Anderson, R.M., Medly, G. F., May, R. M., and Johnson, A. M., 1986. A preliminary study of the transmission dynamics of the Human Immunodeficiency virus (HIV), the causative agent of AIDS. IMAJ.Math. Appl. Med. Biol, 3:229–263.
    • (1986) IMAJ.Math. Appl. Med. Biol , vol.3 , pp. 229-263
    • Anderson, R.M.1    Medly, G.F.2    May, R.M.3    Johnson, A.M.4
  • 3
    • 0036765837 scopus 로고    scopus 로고
    • A nonlinear model for sexually transmitted disease with contact tracing
    • Arazoza, H.D., and Lounes, R., 2002. A nonlinear model for sexually transmitted disease with contact tracing. IMAJ.Math. Appl. Med. Biol, 19:221–234.
    • (2002) IMAJ.Math. Appl. Med. Biol , vol.19 , pp. 221-234
    • Arazoza, H.D.1    Lounes, R.2
  • 4
    • 0028989480 scopus 로고
    • A model for HIV in Asia
    • Busenberg, S., Cooke, K., and Ying-Hen, H., 1995. A model for HIV in Asia. Math. Biosc, 128(1,2):185–210.
    • (1995) Math. Biosc , vol.128 , Issue.1-2 , pp. 185-210
    • Busenberg, S.1    Cooke, K.2    Ying-Hen, H.3
  • 5
    • 17844381287 scopus 로고    scopus 로고
    • Subthreshold domain of bistable equilibria for a model of HIV epidemiology
    • Corbett, B.D., Moghadas, S.M., and Gumel, A.B., 2003. Subthreshold domain of bistable equilibria for a model of HIV epidemiology. Int.J.Math. & Math. Sc, 58:3679–3698.
    • (2003) Int.J.Math. & Math. Sc , vol.58 , pp. 3679-3698
    • Corbett, B.D.1    Moghadas, S.M.2    Gumel, A.B.3
  • 6
    • 0025159677 scopus 로고
    • On the definition and the basic reproduction ratio r0 in models for infectious diseases in heterogeneous populations
    • Diekmann, O., Heesterbeek, P.J.A., and Metz, J.A.J., 1990. On the definition and the basic reproduction ratio r0 in models for infectious diseases in heterogeneous populations. J. Math. Biol, 28:365–382.
    • (1990) J. Math. Biol , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, P.J.A.2    Metz, J.A.J.3
  • 7
    • 0023690558 scopus 로고
    • On the transmission dynamics of HIV
    • Dietz, K., 1988. On the transmission dynamics of HIV. Math. Biosci, 90:397–414.
    • (1988) Math. Biosci , vol.90 , pp. 397-414
    • Dietz, K.1
  • 8
    • 3042988819 scopus 로고    scopus 로고
    • Equilibrium analysis of a mathematical model for the spread of AIDS in a two sex population with mixing constraints
    • Doyle, M., Greenhalgh, D., and Blythe, S., 1998. Equilibrium analysis of a mathematical model for the spread of AIDS in a two sex population with mixing constraints. J. Biol. Sys, 6(2):159–185.
    • (1998) J. Biol. Sys , vol.6 , Issue.2 , pp. 159-185
    • Doyle, M.1    Greenhalgh, D.2    Blythe, S.3
  • 9
    • 0142212588 scopus 로고    scopus 로고
    • A model for vector transmitted disease with saturation incidence
    • Esteva, L., and Matias, M., 2001. A model for vector transmitted disease with saturation incidence. J. Biol. Sys, 9(4):235–245.
    • (2001) J. Biol. Sys , vol.9 , Issue.4 , pp. 235-245
    • Esteva, L.1    Matias, M.2
  • 10
    • 0142243567 scopus 로고    scopus 로고
    • An epidemiological model for carrier dependent infectious disease with environmental effect
    • Ghosh, M., Shukla, J.B., Chandra, P., and Sinha, P., 2000. An epidemiological model for carrier dependent infectious disease with environmental effect. Int.J.Appl. Sci. & Comp, 7(3):188–204.
    • (2000) Int.J.Appl. Sci. & Comp , vol.7 , Issue.3 , pp. 188-204
    • Ghosh, M.1    Shukla, J.B.2    Chandra, P.3    Sinha, P.4
  • 12
    • 0035401181 scopus 로고    scopus 로고
    • The effect of density dependent treatment and behavior change on the dynamics of HIV transmission
    • Heieh, Y. H., and Shen, S. P., 2001. The effect of density dependent treatment and behavior change on the dynamics of HIV transmission. J. Math. Biol, 43:69–80.
    • (2001) J. Math. Biol , vol.43 , pp. 69-80
    • Heieh, Y.H.1    Shen, S.P.2
  • 13
    • 0842349503 scopus 로고    scopus 로고
    • Modeling the social dynamics of a sex industry: Its implications for spread of HIV/AIDS
    • Hsieh, Ying-Hen, and Chen, Chien Hsun. 2004. Modeling the social dynamics of a sex industry:Its implications for spread of HIV/AIDS. Bull. Math. Biol, 66:143–166.
    • (2004) Bull. Math. Biol , vol.66 , pp. 143-166
    • Hsieh, Y.-H.1    Chen, C.H.2
  • 14
    • 0023091646 scopus 로고
    • Transmission dynamics of HIV infection
    • May, R.M., and Anderson, R.M., 1987. Transmission dynamics of HIV infection. Nature, 326:137–142.
    • (1987) Nature , vol.326 , pp. 137-142
    • May, R.M.1    Anderson, R.M.2
  • 15
    • 0026574212 scopus 로고
    • Models of interactions between HIV and other pathogens
    • McLean, A. R., and Nowak, M. A., 1992. Models of interactions between HIV and other pathogens. J.Theor.Biol, 155:69–86.
    • (1992) J.Theor.Biol , vol.155 , pp. 69-86
    • McLean, A.R.1    Nowak, M.A.2
  • 16
    • 7044265024 scopus 로고    scopus 로고
    • Exogenous reinfection and resurgence of tuberculosis: A theoretical framework
    • Moghadas, S.M., and Alexander, M.E., 2004. Exogenous reinfection and resurgence of tuberculosis:A theoretical framework. J.Biol. Sys, 12(2):231–247.
    • (2004) J.Biol. Sys , vol.12 , Issue.2 , pp. 231-247
    • Moghadas, S.M.1    Alexander, M.E.2
  • 17
    • 0038042464 scopus 로고    scopus 로고
    • On treatment of tuberculosis in heterogeneous populations
    • Murphy, B.M., Singer, B. H., and Kirschner, D., 2003. On treatment of tuberculosis in heterogeneous populations. J.Theor. Biol, 223(4):391–404.
    • (2003) J.Theor. Biol , vol.223 , Issue.4 , pp. 391-404
    • Murphy, B.M.1    Singer, B.H.2    Kirschner, D.3
  • 18
    • 27844527143 scopus 로고    scopus 로고
    • Analysis of a nonlinear AIDS epidemic model with standard incidence
    • Naresh, R., and Omar, S., 2003. Analysis of a nonlinear AIDS epidemic model with standard incidence. Ultra Science (Int.J.of Physical Sciences), 15(1M):63–70.
    • (2003) Ultra Science (Int.J.of Physical Sciences) , vol.15 , Issue.1M , pp. 63-70
    • Naresh, R.1    Omar, S.2
  • 19
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • Perelson, A.S., and Nelson, P.W., 1999. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev, 41:3–44.
    • (1999) SIAM Rev , vol.41 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 20
    • 3142679452 scopus 로고    scopus 로고
    • Mathematical modeling of AIDS epidemic in India
    • Rao, A.S.R. Srinivasa. 2003. Mathematical modeling of AIDS epidemic in India. Current Science, 84(9):1192–1197.
    • (2003) Current Science , vol.84 , Issue.9 , pp. 1192-1197
    • Rao, A.S.R.S.1
  • 21
    • 0142216409 scopus 로고    scopus 로고
    • Modeling and analysis of the spread of carrier dependent infectious disease with environmental effects
    • Singh, S., Chandra, P., and Shukla, J.B., 2003. Modeling and analysis of the spread of carrier dependent infectious disease with environmental effects. J. Biol.Sys, 11(3):325–335.
    • (2003) J. Biol.Sys , vol.11 , Issue.3 , pp. 325-335
    • Singh, S.1    Chandra, P.2    Shukla, J.B.3
  • 22
    • 0031195280 scopus 로고    scopus 로고
    • Modeling the impact of HIV on the spread of tuberculosis in the United States
    • West, R.W., and Thompson, A.R., 1996. Modeling the impact of HIV on the spread of tuberculosis in the United States. Bull. Math. Biol, 59:35–60.
    • (1996) Bull. Math. Biol , vol.59 , pp. 35-60
    • West, R.W.1    Thompson, A.R.2
  • 23
    • 0141483750 scopus 로고    scopus 로고
    • Antiretroviral drugs for tuberculosis control in the era of HIV/AIDS
    • Williams, B.G., and Dye, C., 2003. Antiretroviral drugs for tuberculosis control in the era of HIV/AIDS. Science, 301:1535–1537.
    • (2003) Science , vol.301 , pp. 1535-1537
    • Williams, B.G.1    Dye, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.