메뉴 건너뛰기




Volumn 68, Issue 8, 2006, Pages 2105-2128

Mathematical study of a staged-progression HIV model with imperfect vaccine

Author keywords

Global stability; HIV AIDS; Staged progression; Vaccination reproduction number

Indexed keywords

HUMAN IMMUNODEFICIENCY VIRUS VACCINE;

EID: 33750693054     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-006-9095-7     Document Type: Article
Times cited : (70)

References (38)
  • 2
    • 1042298863 scopus 로고    scopus 로고
    • Global results for an epidemic model with vaccination that exhibits backward bifurcation
    • Arino, J., McCluskey, C.C., van den Driessche, P., 2003. Global results for an epidemic model with vaccination that exhibits backward bifurcation. SIAM J. Appl. Math. 64, 260-276.
    • (2003) SIAM J. Appl. Math. , vol.64 , pp. 260-276
    • Arino, J.1    McCluskey, C.C.2    Van Den Driessche, P.3
  • 3
    • 26244436269 scopus 로고    scopus 로고
    • The epidemiological impact of antiretroviral use predicted by mathematical models: A review
    • Accessed September 20, 2005
    • Baggeley, R.F., Ferguson, N.M., Garnett, G.P., 2005. The epidemiological impact of antiretroviral use predicted by mathematical models: A review. Emerg. Themes Epidemiol. 2, 9. (http://www.ete-online.com/contect/2/1/9). Accessed September 20, 2005.
    • (2005) Emerg. Themes Epidemiol. , vol.2 , pp. 9
    • Baggeley, R.F.1    Ferguson, N.M.2    Garnett, G.P.3
  • 4
    • 0028145367 scopus 로고
    • Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco
    • Blower, S.M., McLean, A.R., 1994. Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco. Science 265, 1451-1454.
    • (1994) Science , vol.265 , pp. 1451-1454
    • Blower, S.M.1    McLean, A.R.2
  • 5
    • 0003209221 scopus 로고    scopus 로고
    • Mathematical Models in Population Biology and Epidemiology
    • Springer-Verlag, New York
    • Brauer, F., Castillo-Chavez, C., 2000. Mathematical Models in Population Biology and Epidemiology. Texts in Applied Mathematics Series, vol. 40. Springer-Verlag, New York.
    • (2000) Texts in Applied Mathematics Series , vol.40
    • Brauer, F.1    Castillo-Chavez, C.2
  • 6
    • 1342332108 scopus 로고    scopus 로고
    • A sound rationale needed for Phase III HIV-1 vaccine trials
    • Burton, D.R., et al., 2004. A sound rationale needed for Phase III HIV-1 vaccine trials. Science 303, 316.
    • (2004) Science , vol.303 , pp. 316
    • Burton, D.R.1
  • 7
    • 0011356145 scopus 로고    scopus 로고
    • 0 and its role on global stability
    • Castillo-Chavez, C., with Blower, S., van den Driessche, P., Kirschner, D., Yakubu, A.-A. (Eds.), Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. Springer, New York
    • 0 and its role on global stability. In: Castillo-Chavez, C., with Blower, S., van den Driessche, P., Kirschner, D., Yakubu, A.-A. (Eds.), Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The IMA Volumes in Mathematics and its Applications, vol. 125. Springer, New York, pp. 229-250.
    • (2002) The IMA Volumes in Mathematics and Its Applications , vol.125 , pp. 229-250
    • Castillo-Chavez, C.1    Feng, Z.2    Huang, W.3
  • 8
    • 0242269956 scopus 로고    scopus 로고
    • Public health considerations for the use of a first generation HIV vaccine
    • Report from a WHO-UNAIDS-CDC consultation, Geneva, 20-21 November 2002
    • Chang, M.L., Vitek, C., Esparza, J., 2003. Public health considerations for the use of a first generation HIV vaccine. Report from a WHO-UNAIDS-CDC consultation, Geneva, 20-21 November 2002. AIDS 17, W1-10.
    • (2003) AIDS , vol.17
    • Chang, M.L.1    Vitek, C.2    Esparza, J.3
  • 9
    • 17844381287 scopus 로고    scopus 로고
    • Subthreshold domain of bistable equilibria for a model of HIV epidemiology
    • Corbett, B.D., Moghadas, S.M., Gumel, A.B., 2003. Subthreshold domain of bistable equilibria for a model of HIV epidemiology. IJMMS 58, 3679-3698.
    • (2003) IJMMS , vol.58 , pp. 3679-3698
    • Corbett, B.D.1    Moghadas, S.M.2    Gumel, A.B.3
  • 10
    • 0347301673 scopus 로고    scopus 로고
    • Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity
    • Del Valle, S., Evangelista, A.M., Velasco, M.C., Kribs Zaleta, C.M., Schmitz, S.H., 2004. Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity. Math. Bios. 187, 111-133.
    • (2004) Math. Bios. , vol.187 , pp. 111-133
    • Del Valle, S.1    Evangelista, A.M.2    Velasco, M.C.3    Kribs Zaleta, C.M.4    Schmitz, S.H.5
  • 11
    • 33746597887 scopus 로고    scopus 로고
    • Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits
    • DOI 10.1007/s11538-005-9057-5
    • Elbasha, E.H., Gumel, A.B., 2006. Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Bull. Math. Biol. DOI 10.1007/s11538-005-9057-5.
    • (2006) Bull. Math. Biol.
    • Elbasha, E.H.1    Gumel, A.B.2
  • 12
    • 0037404850 scopus 로고    scopus 로고
    • HIV vaccines: A global perspective
    • Esparza, J., Osmanov, S., 2003. HIV vaccines: A global perspective. Curr. Mol. Med. 3, 183-193.
    • (2003) Curr. Mol. Med. , vol.3 , pp. 183-193
    • Esparza, J.1    Osmanov, S.2
  • 13
    • 4344668394 scopus 로고    scopus 로고
    • Developing economies shrink as AIDS reduces workforce
    • Fleck, F., 2004. Developing economies shrink as AIDS reduces workforce. BMJ 329, 129.
    • (2004) BMJ , vol.329 , pp. 129
    • Fleck, F.1
  • 14
    • 0041326856 scopus 로고    scopus 로고
    • Stochastic simulation of the impact of antiretroviral therapy and HIV vaccines on HIV transmission; Rakai, Uganda
    • Gray, R., Li, X., Wawer, M., Gange, S., Serwadda, D., et al., 2003. Stochastic simulation of the impact of antiretroviral therapy and HIV vaccines on HIV transmission; Rakai, Uganda. AIDS 17, 1941-1951.
    • (2003) AIDS , vol.17 , pp. 1941-1951
    • Gray, R.1    Li, X.2    Wawer, M.3    Gange, S.4    Serwadda, D.5
  • 15
    • 0000824569 scopus 로고
    • Three basic epidemiological models
    • Gross, L., Hallam, T.G., Levin, S.A. (Eds.), Springer, Berlin
    • Hethcote, H.W., 1989. Three basic epidemiological models. In: Gross, L., Hallam, T.G., Levin, S.A. (Eds.), Applied Mathematical Ecology. Springer, Berlin, pp. 119-144.
    • (1989) Applied Mathematical Ecology , pp. 119-144
    • Hethcote, H.W.1
  • 16
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote, H.W., 2000. The mathematics of infectious diseases. SIAM Rev. 42(4), 599-653.
    • (2000) SIAM Rev. , vol.42 , Issue.4 , pp. 599-653
    • Hethcote, H.W.1
  • 17
    • 33746883326 scopus 로고    scopus 로고
    • The differential infectivity and staged progression models for the transmission of HIV
    • Hyman, J.M., Li, J., Stanley, E.A., 1999. The differential infectivity and staged progression models for the transmission of HIV. Math. Biosci. 208, 227-249.
    • (1999) Math. Biosci. , vol.208 , pp. 227-249
    • Hyman, J.M.1    Li, J.2    Stanley, E.A.3
  • 18
    • 0038270791 scopus 로고    scopus 로고
    • The need for a global HIV vaccine enterprise
    • Klausner, R.D., et al., 2003. The need for a global HIV vaccine enterprise. Science 300, 2036-2039.
    • (2003) Science , vol.300 , pp. 2036-2039
    • Klausner, R.D.1
  • 19
    • 0343238366 scopus 로고    scopus 로고
    • A simple vaccination model with multiple endemic states
    • Kribs-Zaleta, C., Velasco-Hernández, J., 2000. A simple vaccination model with multiple endemic states. Math. Biosci. 164, 183-201.
    • (2000) Math. Biosci. , vol.164 , pp. 183-201
    • Kribs-Zaleta, C.1    Velasco-Hernández, J.2
  • 21
    • 0033847457 scopus 로고    scopus 로고
    • Risk behaviors related to heterosexual transmission from HIV-infected persons
    • Lansky, A., Nakashima, A., Jones, J., 2000. Risk behaviors related to heterosexual transmission from HIV-infected persons. Sex. Transm. Dis. 27, 483-489.
    • (2000) Sex. Transm. Dis. , vol.27 , pp. 483-489
    • Lansky, A.1    Nakashima, A.2    Jones, J.3
  • 22
    • 4344693298 scopus 로고    scopus 로고
    • Breakthrough infections during phase 1 and 2 prime-boost HIV-1 vaccine trials with canarypox vectors (ALVAC) and booster dose of recombinant gp120 or gp160
    • Lee, D., et al., 2004. Breakthrough infections during phase 1 and 2 prime-boost HIV-1 vaccine trials with canarypox vectors (ALVAC) and booster dose of recombinant gp120 or gp160. J. Infect. Dis. 190(5), 903-907.
    • (2004) J. Infect. Dis. , vol.190 , Issue.5 , pp. 903-907
    • Lee, D.1
  • 23
    • 0000147071 scopus 로고
    • On R.A. Smith's autonomous convergence theorem
    • Li, M.Y., Muldowney, J.S., 1995. On R.A. Smith's autonomous convergence theorem. Rocky Mount. J. Math. 25, 365-379.
    • (1995) Rocky Mount. J. Math. , vol.25 , pp. 365-379
    • Li, M.Y.1    Muldowney, J.S.2
  • 24
    • 0030544879 scopus 로고    scopus 로고
    • A geometric approach to global-stability problems
    • Li, M.Y., Muldowney, J.S., 1996. A geometric approach to global-stability problems. SIAM J. Math. Anal. 21, 1070-1083.
    • (1996) SIAM J. Math. Anal. , vol.21 , pp. 1070-1083
    • Li, M.Y.1    Muldowney, J.S.2
  • 25
    • 0037210843 scopus 로고    scopus 로고
    • A Model for HIV/AIDS with staged progression and amelioration
    • McCluskey, C.C., 2003. A Model for HIV/AIDS with staged progression and amelioration. Math. Bios. 181, 1-16.
    • (2003) Math. Bios. , vol.181 , pp. 1-16
    • McCluskey, C.C.1
  • 26
    • 24944512589 scopus 로고    scopus 로고
    • A strategy for constructing Lyapunov functions for non-autonomous linear differential equations
    • McCluskey, C.C., 2005. A strategy for constructing Lyapunov functions for non-autonomous linear differential equations. Linear Algebra Appl. 409, 100-110.
    • (2005) Linear Algebra Appl. , vol.409 , pp. 100-110
    • McCluskey, C.C.1
  • 28
    • 0028181255 scopus 로고
    • Risk factors for woman-to-man sexual transmission of the human immunodeficiency virus
    • Nicolosi, A., Musicco, M., Saracco, A., Lazzarin, A., 1994. Risk factors for woman-to-man sexual transmission of the human immunodeficiency virus. J. Acq. Immun. Def. Synd. 7, 296-300.
    • (1994) J. Acq. Immun. Def. Synd. , vol.7 , pp. 296-300
    • Nicolosi, A.1    Musicco, M.2    Saracco, A.3    Lazzarin, A.4
  • 29
    • 0028173863 scopus 로고
    • Heterosexual transmission of human immunodeficiency virus type 1 from transfusion recipients to their sex partners
    • O'Brien, T., Busch, M., Donegan, E., Ward, J., Wong, L., et al., 1994. Heterosexual transmission of human immunodeficiency virus type 1 from transfusion recipients to their sex partners. J. Acquir. Immune. Defic. Syndr. 7, 705-710.
    • (1994) J. Acquir. Immune. Defic. Syndr. , vol.7 , pp. 705-710
    • O'Brien, T.1    Busch, M.2    Donegan, E.3    Ward, J.4    Wong, L.5
  • 30
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • Perelson, A., Nelson, P., 1999. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev. 41, 3-44.
    • (1999) SIAM Rev. , vol.41 , pp. 3-44
    • Perelson, A.1    Nelson, P.2
  • 31
    • 1542299092 scopus 로고    scopus 로고
    • Recent advances in the development of HIV-1 vaccines using replication-incompetent adenovirus vectors
    • Shiver, J., Emini, E., 2004. Recent advances in the development of HIV-1 vaccines using replication-incompetent adenovirus vectors. Ann. Rev. Med. 55, 355-372.
    • (2004) Ann. Rev. Med. , vol.55 , pp. 355-372
    • Shiver, J.1    Emini, E.2
  • 32
    • 0037122719 scopus 로고    scopus 로고
    • Replication-incompetent adenoviral vaccine vector elicits effective anti-immunodeficiency-virus immunity
    • Shiver, J., Fu, T.-M., Chen, L., Casimiro, D., Davies, M.-A., et al., 2002. Replication-incompetent adenoviral vaccine vector elicits effective anti-immunodeficiency-virus immunity. Nature 415, 331-335.
    • (2002) Nature , vol.415 , pp. 331-335
    • Shiver, J.1    Fu, T.-M.2    Chen, L.3    Casimiro, D.4    Davies, M.-A.5
  • 33
    • 4644282914 scopus 로고    scopus 로고
    • Could disease-modifying HIV vaccines cause population-level pervasity?
    • Smith, R.J., Blower, S.M., 2004. Could disease-modifying HIV vaccines cause population-level pervasity? Lancet Infec. Dis. 4, 636-639.
    • (2004) Lancet Infec. Dis. , vol.4 , pp. 636-639
    • Smith, R.J.1    Blower, S.M.2
  • 35
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche, P., Watmough, J., 2002. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Bios. 180, 29-48.
    • (2002) Math. Bios. , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 37
    • 33644556919 scopus 로고    scopus 로고
    • WHO, World Health Organization, 1211 Geneva 27, Switzerland
    • WHO, 2004. The World Health Report: Changing History. World Health Organization, 1211 Geneva 27, Switzerland.
    • (2004) The World Health Report: Changing History
  • 38
    • 12144288296 scopus 로고    scopus 로고
    • The challenges of an HIV vaccine enterprise
    • Zinkernagel, R.M., 2004. The challenges of an HIV vaccine enterprise. Science 303, 1294-1297.
    • (2004) Science , vol.303 , pp. 1294-1297
    • Zinkernagel, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.