메뉴 건너뛰기




Volumn 146, Issue 1, 1997, Pages 15-35

Backward bifurcation in epidemic control

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONTROL SYSTEM; EPIDEMIC; HYSTERESIS; INFECTION CONTROL; MATHEMATICAL MODEL; OSCILLATION; PARASITOSIS; PUBLIC HEALTH; SOCIAL BEHAVIOR; STOCHASTIC MODEL; VACCINATION;

EID: 0030882301     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(97)00027-8     Document Type: Article
Times cited : (196)

References (20)
  • 1
    • 0342393384 scopus 로고    scopus 로고
    • R0. Dissertation, University of Leiden, 1992.
    • J. A. P. Heesterbeek, R0. Dissertation, University of Leiden, 1992.
    • Heesterbeek, J.A.P.1
  • 2
    • 0025159677 scopus 로고
    • On the definition and computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
    • O. Diekmann, J. A. P. Heesterbeek, and J. A. J. Metz, On the definition and computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28:365-382 (1991).
    • (1991) J. Math. Biol. , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.J.3
  • 3
    • 0029055539 scopus 로고
    • A core group model for disease transmission
    • K. P. Hadeler and C. Castillo-Chavez. A core group model for disease transmission. Math. Biosci. 128:41-55 (1995).
    • (1995) Math. Biosci. , vol.128 , pp. 41-55
    • Hadeler, K.P.1    Castillo-Chavez, C.2
  • 5
    • 0023847923 scopus 로고
    • Education to prevent AIDS: Prospects and obstacles
    • H. V. Fineberg, Education to prevent AIDS: prospects and obstacles. Science 239:592-596 (1988).
    • (1988) Science , vol.239 , pp. 592-596
    • Fineberg, H.V.1
  • 6
    • 0025904934 scopus 로고
    • Potential of community-wide chemotherapy or immunotherapy to control the spread of HIV
    • S. Gupta, R. M. Anderson, and R. M. May, Potential of community-wide chemotherapy or immunotherapy to control the spread of HIV. Nature 350:356-359 (1991).
    • (1991) Nature , vol.350 , pp. 356-359
    • Gupta, S.1    Anderson, R.M.2    May, R.M.3
  • 7
    • 0026335576 scopus 로고
    • The effects of structural behavior change on the spread of HIV in one sex populations
    • P. Scalia-Tomba, The effects of structural behavior change on the spread of HIV in one sex populations. Math. Biosci. 91:547-555 (1991).
    • (1991) Math. Biosci. , vol.91 , pp. 547-555
    • Scalia-Tomba, P.1
  • 8
    • 0342393381 scopus 로고
    • The effects of vaccination on sexually transmitted disease in heterosexual populations
    • O. Arino, D. Axelrod, M. Kimmel, and M. Langlois eds., 3d Int. Conf., 1992, Wuerz, Winnipeg
    • K. P. Hadeler and J. Müller, The effects of vaccination on sexually transmitted disease in heterosexual populations. In Mathematical Population Dynamics O. Arino, D. Axelrod, M. Kimmel, and M. Langlois eds., 3d Int. Conf., 1992, Vol. 1, Wuerz, Winnipeg, 1995, pp. 251-278.
    • (1995) Mathematical Population Dynamics , vol.1 , pp. 251-278
    • Hadeler, K.P.1    Müller, J.2
  • 9
    • 0020254855 scopus 로고
    • Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations
    • K. P. Hadeler and K. Dietz, Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations. Comput. Math. Appl. 9:415-430 (1983).
    • (1983) Comput. Math. Appl. , vol.9 , pp. 415-430
    • Hadeler, K.P.1    Dietz, K.2
  • 10
    • 0021678649 scopus 로고
    • Population dynamics of killing parasites which reproduce in the host
    • K. P. Hadeler and K. Dietz, Population dynamics of killing parasites which reproduce in the host. J. Math. Biol. 21:45-65 (1984).
    • (1984) J. Math. Biol. , vol.21 , pp. 45-65
    • Hadeler, K.P.1    Dietz, K.2
  • 11
    • 0342393383 scopus 로고
    • Vector models for infectious diseases
    • B. Sleeman and R. Jarvis eds., Proc. Dundee, 1984, Lecture Notes in Math. 1151, Springer-Verlag, Berlin
    • K. P. Hadeler, Vector models for infectious diseases. In Ordinary and Partial Differential Equations, B. Sleeman and R. Jarvis eds., Proc. Dundee, 1984, Lecture Notes in Math. 1151, Springer-Verlag, Berlin, 1985, pp. 204-216.
    • (1985) Ordinary and Partial Differential Equations , pp. 204-216
    • Hadeler, K.P.1
  • 12
    • 0343263005 scopus 로고
    • Hysteresis in a model for parasitic infection
    • T. Küpper, H. D. Mittelmann, and H. Weber, eds., ISNM 70, Birkhäuser, Basel
    • K. P. Hadeler, Hysteresis in a model for parasitic infection. In Numerical Methods for Bifurcation Problems, T. Küpper, H. D. Mittelmann, and H. Weber, eds., ISNM 70, Birkhäuser, Basel, 1984, pp. 171-180.
    • (1984) Numerical Methods for Bifurcation Problems , pp. 171-180
    • Hadeler, K.P.1
  • 13
    • 0342393382 scopus 로고
    • Integral equations with discrete parasites: Hosts with lotka birth law
    • S. A. Levin and T. G. Hallam eds., Lecture Notes in Biomathematics 54, Springer-Verlag, Berlin
    • K. P. Hadeler, Integral equations with discrete parasites: hosts with Lotka birth law. In Mathematical Ecology, S. A. Levin and T. G. Hallam eds., Lecture Notes in Biomathematics 54, Springer-Verlag, Berlin, 1984, pp. 356-365.
    • (1984) Mathematical Ecology , pp. 356-365
    • Hadeler, K.P.1
  • 14
    • 0024540142 scopus 로고
    • A renewal equation with a birth-death-process as a model for parasitic infections
    • M. Kretzschmar, A renewal equation with a birth-death-process as a model for parasitic infections. J. Math. Biol, 27:191-221 (1989).
    • (1989) J. Math. Biol , vol.27 , pp. 191-221
    • Kretzschmar, M.1
  • 15
    • 0024311217 scopus 로고
    • Persistent solutions in a model for parasitic diseases
    • M. Kretzschmar, Persistent solutions in a model for parasitic diseases. J. Math. Biol. 27:549-573 (1989).
    • (1989) J. Math. Biol. , vol.27 , pp. 549-573
    • Kretzschmar, M.1
  • 16
    • 38249003642 scopus 로고
    • Comparison of an infinite-dimensional model for parasitic diseases with a related 2-dimensional system
    • M. Kretzschmar, Comparison of an infinite-dimensional model for parasitic diseases with a related 2-dimensional system. J. Math. Anal. Appl. 176:235-260 (1993).
    • (1993) J. Math. Anal. Appl. , vol.176 , pp. 235-260
    • Kretzschmar, M.1
  • 17
    • 0000675649 scopus 로고
    • Regulation and stability of host-parasite population interactions I: Regulatory processes; II: Destabilizing processes
    • R. M. Anderson and R. M. May, Regulation and stability of host-parasite population interactions I: Regulatory processes; II: Destabilizing processes. J. Anim. Ecol. 47:219-247; 249-267 (1978).
    • (1978) J. Anim. Ecol. , vol.47 , pp. 219-247
    • Anderson, R.M.1    May, R.M.2
  • 18
    • 0026064784 scopus 로고
    • Pattern in effects of infectious diseases on population growth
    • O. Diekmann and M. Kretzschmar, Pattern in effects of infectious diseases on population growth. J. Math. Biol. 29:539-570 (1991).
    • (1991) J. Math. Biol. , vol.29 , pp. 539-570
    • Diekmann, O.1    Kretzschmar, M.2
  • 19
    • 0007831138 scopus 로고
    • A constrained mixing two-sex model for the spread of HIV
    • O. Arino, D. Axelrod, M. Kimmel, and M. Langlois, eds., 3d Int. Conf., Wuerz, Winnipeg
    • M. T. Doyle, A constrained mixing two-sex model for the spread of HIV. In Mathematical Population Dynamics, O. Arino, D. Axelrod, M. Kimmel, and M. Langlois, eds., 3d Int. Conf., Vol. 1, Wuerz, Winnipeg, 1995, pp. 209-228.
    • (1995) Mathematical Population Dynamics , vol.1 , pp. 209-228
    • Doyle, M.T.1
  • 20
    • 0000723140 scopus 로고
    • Stability and bifurcation for a multigroup model for the dynamics of HIV transmission
    • W. Huang, K. L. Cooke, and C. Castillo-Chavez, Stability and bifurcation for a multigroup model for the dynamics of HIV transmission. SIAM J. Appl. 52:835-554 (1992).
    • (1992) SIAM J. Appl. , vol.52 , pp. 835-1554
    • Huang, W.1    Cooke, K.L.2    Castillo-Chavez, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.