메뉴 건너뛰기




Volumn 49, Issue 5-6, 2009, Pages 880-892

Modelling and analysis of the spread of AIDS epidemic with immigration of HIV infectives

Author keywords

HIV AIDS; Immigration; Infectives; Region of attraction; Reproduction number; Stability

Indexed keywords

POPULATION STATISTICS; PROGRAMMING THEORY;

EID: 59249107897     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.09.013     Document Type: Article
Times cited : (72)

References (28)
  • 1
    • 26844567211 scopus 로고    scopus 로고
    • The effect of vaccinations in an immigrant model
    • Piccolo~III C., and Billings L. The effect of vaccinations in an immigrant model. Math. Comp. Mod. 42 (2005) 291-299
    • (2005) Math. Comp. Mod. , vol.42 , pp. 291-299
    • Piccolo III, C.1    Billings, L.2
  • 2
    • 33846946117 scopus 로고    scopus 로고
    • A note on epidemic models with infective immigrants and vaccination
    • Shim E. A note on epidemic models with infective immigrants and vaccination. Math. Bios. Engg. 3 (2006) 557-566
    • (2006) Math. Bios. Engg. , vol.3 , pp. 557-566
    • Shim, E.1
  • 3
    • 6444241428 scopus 로고    scopus 로고
    • Emerging infectious disease issues in international adoptions: SARS, avian influenza and measles
    • Krilov L.R. Emerging infectious disease issues in international adoptions: SARS, avian influenza and measles. Curr. Opin. Infect. Dis. 17 (2004) 391-395
    • (2004) Curr. Opin. Infect. Dis. , vol.17 , pp. 391-395
    • Krilov, L.R.1
  • 4
    • 33847642648 scopus 로고    scopus 로고
    • Asymptotic properties of an HIV/AIDS model with a time delay
    • Mukandavire Z., Garira W., and Chiyaka C. Asymptotic properties of an HIV/AIDS model with a time delay. J. Math. Anal. Appl. 330 (2007) 916-933
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 916-933
    • Mukandavire, Z.1    Garira, W.2    Chiyaka, C.3
  • 5
    • 77957175423 scopus 로고
    • A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS
    • Anderson R.M., Medley G.F., May R.M., and Johnson A.M. A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS. IMA J. Math. Appl. Med. Biol. 3 (1986) 229-263
    • (1986) IMA J. Math. Appl. Med. Biol. , vol.3 , pp. 229-263
    • Anderson, R.M.1    Medley, G.F.2    May, R.M.3    Johnson, A.M.4
  • 6
    • 0024274733 scopus 로고
    • The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS
    • Anderson R.M. The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS. J. AIDS 1 (1988) 241-256
    • (1988) J. AIDS , vol.1 , pp. 241-256
    • Anderson, R.M.1
  • 7
    • 0023091646 scopus 로고
    • Transmission dynamics of HIV infection
    • May R.M., and Anderson R.M. Transmission dynamics of HIV infection. Nature 326 (1987) 137-142
    • (1987) Nature , vol.326 , pp. 137-142
    • May, R.M.1    Anderson, R.M.2
  • 8
    • 0024490396 scopus 로고
    • A model for the spread of HIV infection and the demographic impact of AIDS
    • Bongaarts J. A model for the spread of HIV infection and the demographic impact of AIDS. Statist. Med. 8 (1989) 103-120
    • (1989) Statist. Med. , vol.8 , pp. 103-120
    • Bongaarts, J.1
  • 10
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • Busenberg S., and van~den~Driessche P. Analysis of a disease transmission model in a population with varying size. J. Math. Biol. 28 (1990) 257-270
    • (1990) J. Math. Biol. , vol.28 , pp. 257-270
    • Busenberg, S.1    van den Driessche, P.2
  • 11
    • 0036765837 scopus 로고    scopus 로고
    • A nonlinear model for a sexually transmitted disease with contact tracing
    • De~Arazoza H., and Lounes R. A nonlinear model for a sexually transmitted disease with contact tracing. IMA J. Math. Appl. Med. Biol. 19 (2002) 221-234
    • (2002) IMA J. Math. Appl. Med. Biol. , vol.19 , pp. 221-234
    • De Arazoza, H.1    Lounes, R.2
  • 12
    • 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. Equilibrium analysis of a mathematical model for the spread of AIDS in a two sex population with mixing constraints. J. Biol. Syst. 6 (1998) 159-185
    • (1998) J. Biol. Syst. , vol.6 , pp. 159-185
    • Doyle, M.1    Greenhalgh, D.2    Blythe, S.3
  • 13
    • 0031336585 scopus 로고    scopus 로고
    • The spread and quarantine of HIV infection in a prison system
    • Gani J., Yakowitz S., and Blount M. The spread and quarantine of HIV infection in a prison system. SIAM J. Appl. Math. 57 (1997) 1510-1530
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1510-1530
    • Gani, J.1    Yakowitz, S.2    Blount, M.3
  • 14
    • 0029818035 scopus 로고    scopus 로고
    • Sexually transmitted diseases and sexual behavior: insights from mathematical models
    • Garnett G.P., and Anderson R.M. Sexually transmitted diseases and sexual behavior: insights from mathematical models. J. Infect. Diseases 174 (1996) S150-S161
    • (1996) J. Infect. Diseases , vol.174
    • Garnett, G.P.1    Anderson, R.M.2
  • 17
    • 33746253677 scopus 로고    scopus 로고
    • Modelling the spread of AIDS epidemic with vertical transmission
    • Naresh R., Tripathi A., and Omar S. Modelling the spread of AIDS epidemic with vertical transmission. Appl. Math. Comput. 178 (2006) 262-272
    • (2006) Appl. Math. Comput. , vol.178 , pp. 262-272
    • Naresh, R.1    Tripathi, A.2    Omar, S.3
  • 18
    • 33846611142 scopus 로고    scopus 로고
    • Modelling the screening of unaware infectives on the spread of HIV infection
    • Tripathi A., Naresh R., and Sharma D. Modelling the screening of unaware infectives on the spread of HIV infection. Appl. Math. Comput. 184 (2007) 1053-1068
    • (2007) Appl. Math. Comput. , vol.184 , pp. 1053-1068
    • Tripathi, A.1    Naresh, R.2    Sharma, D.3
  • 19
    • 33746229671 scopus 로고    scopus 로고
    • On two ODE models for HIV/AIDS development in Canada and a logistic SEIR model
    • Aggarwala B.D. On two ODE models for HIV/AIDS development in Canada and a logistic SEIR model. Far East J. Appl. Math. 6 (2002) 25-70
    • (2002) Far East J. Appl. Math. , vol.6 , pp. 25-70
    • Aggarwala, B.D.1
  • 20
    • 3142679452 scopus 로고    scopus 로고
    • Mathematical modeling of AIDS epidemic in India
    • Srinivasa Rao A.S.R. Mathematical modeling of AIDS epidemic in India. Current Sci. 84 (2003) 1192-1197
    • (2003) Current Sci. , vol.84 , pp. 1192-1197
    • Srinivasa Rao, A.S.R.1
  • 21
    • 0038330387 scopus 로고    scopus 로고
    • Stability analysis for differential infectivity epidemic models
    • Zhien M., and Liu J. Stability analysis for differential infectivity epidemic models. Nonlinear Anal. RWA 4 (2003) 841-856
    • (2003) Nonlinear Anal. RWA , vol.4 , pp. 841-856
    • Zhien, M.1    Liu, J.2
  • 22
    • 0034976407 scopus 로고
    • Models for transmission of disease with immigration of infectives
    • Brauer F., and van~den~Driessche P. Models for transmission of disease with immigration of infectives. Math. Bios. 171 (1995) 143-154
    • (1995) Math. Bios. , vol.171 , pp. 143-154
    • Brauer, F.1    van den Driessche, P.2
  • 24
    • 0842349503 scopus 로고    scopus 로고
    • Modelling the social dynamics of a sex industry: Its implications for spread of HIV/AIDS
    • Hsieh Y.H., and Chen C.H. Modelling the social dynamics of a sex industry: Its implications for spread of HIV/AIDS. Bull. Math. Biol. 66 (2004) 143-166
    • (2004) Bull. Math. Biol. , vol.66 , pp. 143-166
    • Hsieh, Y.H.1    Chen, C.H.2
  • 25
    • 0033073528 scopus 로고    scopus 로고
    • The differential infectivity and staged progression models for the transmission of HIV
    • Hyman J.M., Li J., and Stanley E.A. The differential infectivity and staged progression models for the transmission of HIV. Math. Bios. 155 (1999) 77-109
    • (1999) Math. Bios. , vol.155 , pp. 77-109
    • Hyman, J.M.1    Li, J.2    Stanley, E.A.3
  • 26
    • 0027452018 scopus 로고
    • An epidemiological model for HIV/AIDS with proportional recruitment
    • Lin X., Hethcote H.W., and van~den~Driessche P. An epidemiological model for HIV/AIDS with proportional recruitment. Math. Bios. 118 (1993) 181-195
    • (1993) Math. Bios. , vol.118 , pp. 181-195
    • Lin, X.1    Hethcote, H.W.2    van den Driessche, P.3
  • 27
    • 0003360437 scopus 로고
    • Infectious Diseases of Humans
    • Oxford University Press, Oxford
    • Anderson R.M., and May R.M. Infectious Diseases of Humans. Dynamics and Control (1991), Oxford University Press, Oxford
    • (1991) Dynamics and Control
    • Anderson, R.M.1    May, R.M.2
  • 28
    • 31244431623 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
    • Korobeinikov A., and Wake G.C. Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Appl. Math. Lett. 15 (2002) 955-960
    • (2002) Appl. Math. Lett. , vol.15 , pp. 955-960
    • Korobeinikov, A.1    Wake, G.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.