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Volumn 57, Issue 4, 1997, Pages 1082-1094

Behavior changes in SIS STD models with selective mixing

Author keywords

Balance constraint; Behavior changes; Endemic equilibrium; Global stability; Local stability; Reproductive numbers; Selective mixing; STD models

Indexed keywords

ASYMPTOTIC STABILITY; DISEASES; EPIDEMIOLOGY; SENSITIVITY ANALYSIS;

EID: 0031208160     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139995294123     Document Type: Article
Times cited : (48)

References (40)
  • 1
    • 0023931994 scopus 로고
    • AIDS and behavioral change to reduce risk; a review
    • M. BECKER AND J. JOSEPH, AIDS and behavioral change to reduce risk; A review, Amer. J. Public Health, 78 (1988), pp. 394-410.
    • (1988) Amer. J. Public Health , vol.78 , pp. 394-410
    • Becker, M.1    Joseph, J.2
  • 2
    • 0028145367 scopus 로고
    • Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco
    • S. M. BLOWER AND A. R. MCLEAN, Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco, Science, 265 (1994), pp. 1451-1454.
    • (1994) Science , vol.265 , pp. 1451-1454
    • Blower, S.M.1    Mclean, A.R.2
  • 3
    • 0026326120 scopus 로고
    • Toward a unified theory of sexual mixing and pair formation
    • S. P. BLYTHE, C. CASTILLO-CHAVEZ, J. S. PALMER, AND M. CHENG, Toward a unified theory of sexual mixing and pair formation, Math. Biosci., 107 (1991), pp. 379-405.
    • (1991) Math. Biosci. , vol.107 , pp. 379-405
    • Blythe, S.P.1    Castillo-Chavez, C.2    Palmer, J.S.3    Cheng, M.4
  • 4
    • 0039539754 scopus 로고
    • Interaction, pair formation and force of infection terms in sexually transmitted diseases
    • Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, ed., Springer-Verlag, New York
    • S. BUSENBERG AND C. CASTILLO-CHAVEZ, Interaction, pair formation and force of infection terms in sexually transmitted diseases, in Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, C. Castillo-Chavez, ed., Springer-Verlag, New York, 1989, pp. 289-300.
    • (1989) Lecture Notes in Biomath. , vol.83 , pp. 289-300
    • Busenberg, S.1    Castillo-Chavez, C.2
  • 5
    • 77957175569 scopus 로고
    • A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS
    • S. BUSENBERG AND C. CASTILLO-CHAVEZ, A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS, IMA J. Math. Appl. Med. Biol., 8 (1991), pp. 1-29.
    • (1991) IMA J. Math. Appl. Med. Biol. , vol.8 , pp. 1-29
    • Busenberg, S.1    Castillo-Chavez, C.2
  • 6
    • 0001436854 scopus 로고
    • A method for proving the non-existence of limit cycles
    • S. BUSENBERG AND P. VAN DEN DRIESSCHE, A method for proving the non-existence of limit cycles, J. Math. Anal. Appl., 172 (1993), pp. 463-479.
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 463-479
    • Busenberg, S.1    Van Den Driessche, P.2
  • 7
    • 0011725464 scopus 로고
    • Mixing framework for social/sexual behavior
    • Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, ed., Springer-Verlag, New York
    • C. CASTILLO-CHAVEZ AND S. P. BLYTHE, Mixing framework for social/sexual behavior, in Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, C. Castillo-Chavez, ed., Springer-Verlag, New York, 1989, pp. 275-288.
    • (1989) Lecture Notes in Biomath. , vol.83 , pp. 275-288
    • Castillo-Chavez, C.1    Blythe, S.P.2
  • 8
    • 0011937512 scopus 로고
    • On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome, Part 2: Multiple group models
    • Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, ed., Springer-Verlag, New York
    • C. CASTILLO-CHAVEZ, K. COOKE, W. HUANG, AND S. A. LEVIN, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome, Part 2: Multiple group models, in Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, C. Castillo-Chavez, ed., Springer-Verlag, New York, 1989, pp. 200-217.
    • (1989) Lecture Notes in Biomath. , vol.83 , pp. 200-217
    • Castillo-Chavez, C.1    Cooke, K.2    Huang, W.3    Levin, S.A.4
  • 10
    • 0026430034 scopus 로고
    • Patterns of sexual behavior change among homosexual/bisexual men - Selected U.S. sites, 1987-1990
    • CENTERS FOR DISEASE CONTROL, Patterns of sexual behavior change among homosexual/bisexual men - selected U.S. sites, 1987-1990, MMWR Morbid. Mortal. WkIy. Rep., 40 (1991), pp. 792-794.
    • (1991) MMWR Morbid. Mortal. WkIy. Rep. , vol.40 , pp. 792-794
  • 12
    • 0003638633 scopus 로고
    • Thesis, Centrum voor Wiskunde en Informatica, Amsterdam
    • 0, Thesis, Centrum voor Wiskunde en Informatica, Amsterdam, 1992.
    • (1992) 0
    • Heesterbeek, H.1
  • 13
    • 0017228276 scopus 로고
    • Qualitative analysis for communicable disease models
    • H. W. HETHCOTE, Qualitative analysis for communicable disease models, Math. Biosci., 28 (1976), pp. 335-356.
    • (1976) Math. Biosci. , vol.28 , pp. 335-356
    • Hethcote, H.W.1
  • 14
    • 0003020529 scopus 로고
    • Gonorrhea Transmission Dynamics and Control
    • Springer-Verlag, New York
    • H. W. HETHCOTE AND J. A. YORKE, Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomath. 56, Springer-Verlag, New York, 1984.
    • (1984) Lecture Notes in Biomath. , vol.56
    • Hethcote, H.W.1    Yorke, J.A.2
  • 15
    • 0003797272 scopus 로고    scopus 로고
    • Center for International Research of the US Bureau of the Census
    • HIV/AIDS Surveillance Data Base, Center for International Research of the US Bureau of the Census.
    • HIV/AIDS Surveillance Data Base
  • 17
    • 0000323491 scopus 로고
    • Using mathematical models to understand the AIDS epidemic
    • J. M. HYMAN AND E. A. STANLEY, Using mathematical models to understand the AIDS epidemic, Math. Biosci., 90 (1988), pp. 415-473.
    • (1988) Math. Biosci. , vol.90 , pp. 415-473
    • Hyman, J.M.1    Stanley, E.A.2
  • 18
    • 0000121386 scopus 로고
    • The effect of social mixing patterns on the spread of AIDS
    • Mathematical Approaches to Problems in Resource Management and Epidemiology, C. Castillo-Chavez, S. A. Levin, and C. A. Shoemaker, eds., Springer-Verlag, New York
    • J. M. HYMAN AND E. A. STANLEY, The effect of social mixing patterns on the spread of AIDS, in Mathematical Approaches to Problems in Resource Management and Epidemiology, Lecture Notes in Biomath. 81, C. Castillo-Chavez, S. A. Levin, and C. A. Shoemaker, eds., Springer-Verlag, New York, 1989, pp. 190-219.
    • (1989) Lecture Notes in Biomath. , vol.81 , pp. 190-219
    • Hyman, J.M.1    Stanley, E.A.2
  • 19
    • 0024205659 scopus 로고
    • Modelling and analyzing HIV transmission: The effect of contact patterns
    • J. A. JACQUEZ, C. P. SIMON, J. KOOPMAN, L. SATTENSPIEL, AND T. PERRY, Modelling and analyzing HIV transmission: The effect of contact patterns, Math. Biosci., 92 (1988), pp. 119-199.
    • (1988) Math. Biosci. , vol.92 , pp. 119-199
    • Jacquez, J.A.1    Simon, C.P.2    Koopman, J.3    Sattenspiel, L.4    Perry, T.5
  • 20
    • 0000266332 scopus 로고
    • Structured mixing: Heterosexual mixing by the definition of activity groups
    • Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, ed., Springer-Verlag, New York
    • J. A. JACQUEZ, C. P. SIMON, AND J. KOOPMAN, Structured mixing: Heterosexual mixing by the definition of activity groups, in Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, C. Castillo-Chavez, ed., Springer-Verlag, New York, 1989, pp. 301-315.
    • (1989) Lecture Notes in Biomath. , vol.83 , pp. 301-315
    • Jacquez, J.A.1    Simon, C.P.2    Koopman, J.3
  • 21
    • 0000145168 scopus 로고
    • The reproductive number in deterministic models of contagious diseases
    • J. A. JACQUEZ, C. P. SIMON, AND J. KOOPMAN, The reproductive number in deterministic models of contagious diseases, Comm. Theor. Biol., 2 (1991), pp. 159-209.
    • (1991) Comm. Theor. Biol. , vol.2 , pp. 159-209
    • Jacquez, J.A.1    Simon, C.P.2    Koopman, J.3
  • 22
    • 0024962366 scopus 로고
    • Evidence for recent changes in sexual behavior in homosexual men in England and Wales
    • A. M. JOHNSON AND O. N. GILL, Evidence for recent changes in sexual behavior in homosexual men in England and Wales, Philos. Trans. Roy. Soc. London Biol., 325 (1989), pp. 153-161.
    • (1989) Philos. Trans. Roy. Soc. London Biol. , vol.325 , pp. 153-161
    • Johnson, A.M.1    Gill, O.N.2
  • 24
    • 0010012338 scopus 로고
    • Selective contact within structured mixing with an application to HIV transmission risk from oral and anal sex
    • Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, ed., Springer-Verlag, New York
    • J. S. KOOPMAN, C. P. SIMON, J. A. JACQUEZ, AND T. S. PARK, Selective contact within structured mixing with an application to HIV transmission risk from oral and anal sex, in Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomath. 83, C. Castillo-Chavez, ed., Springer-Verlag, New York, 1989, pp. 317-348.
    • (1989) Lecture Notes in Biomath. , vol.83 , pp. 317-348
    • Koopman, J.S.1    Simon, C.P.2    Jacquez, J.A.3    Park, T.S.4
  • 26
    • 38249012948 scopus 로고
    • Effects of risk behavior change on the spread of AIDS epidemic
    • JIA LI, Effects of risk behavior change on the spread of AIDS epidemic, Math. Comput. Modelling, 16 (1992), pp. 103-111.
    • (1992) Math. Comput. Modelling , vol.16 , pp. 103-111
    • Li, J.I.A.1
  • 27
    • 0023128235 scopus 로고
    • The impact of AIDS on gay male sexual behavior patterns in New York City
    • J. L. MARTIN, The impact of AIDS on gay male sexual behavior patterns in New York City, Amer. J. Public Health, 77 (1987), pp. 578-581.
    • (1987) Amer. J. Public Health , vol.77 , pp. 578-581
    • Martin, J.L.1
  • 28
    • 0021795839 scopus 로고
    • AIDS and sexual behavior reported by gay men in San Francisco
    • L. MCKUSICK, W. HORSTMAN, AND T. COASTES, AIDS and sexual behavior reported by gay men in San Francisco, Amer. J. Public Health, 75 (1985), pp. 493-496.
    • (1985) Amer. J. Public Health , vol.75 , pp. 493-496
    • Mckusick, L.1    Horstman, W.2    Coastes, T.3
  • 30
    • 0027989571 scopus 로고
    • Effects of sexual behavior change on long-term human immunodeficiency virus prevalence among homosexual men
    • M. MORRIS AND L. DEAN, Effects of sexual behavior change on long-term human immunodeficiency virus prevalence among homosexual men, Amer. J. Epidemiol., 140 (1994), pp. 217-232.
    • (1994) Amer. J. Epidemiol. , vol.140 , pp. 217-232
    • Morris, M.1    Dean, L.2
  • 31
    • 0023213425 scopus 로고
    • Population structure and the spread of disease
    • L. SATTENSPIEL, Population structure and the spread of disease, Human Biol., 59 (1987), pp. 411-438.
    • (1987) Human Biol. , vol.59 , pp. 411-438
    • Sattenspiel, L.1
  • 32
    • 0023354615 scopus 로고
    • Epidemics in nonrandomly mixing populations: A simulation
    • L. SATTENSPIEL, Epidemics in nonrandomly mixing populations: A simulation, Am. J. Physical Anthropol., 73 (1987), pp. 251-265.
    • (1987) Am. J. Physical Anthropol. , vol.73 , pp. 251-265
    • Sattenspiel, L.1
  • 33
    • 84995205409 scopus 로고
    • Environmental context, social interaction, and the spread of HIV
    • L. SATTENSPIEL AND C. CASTILLO-CHAVEZ, Environmental context, social interaction, and the spread of HIV, Am. J. Human Biol., 2 (1990), pp. 397-417.
    • (1990) Am. J. Human Biol. , vol.2 , pp. 397-417
    • Sattenspiel, L.1    Castillo-Chavez, C.2
  • 34
    • 0026335576 scopus 로고
    • The effects of structured behavior change on the spread of HIV in a one-sex population
    • G. SCALIA-TOMBA, The effects of structured behavior change on the spread of HIV in a one-sex population, Math. Biosci., 107 (1991), pp. 547-555.
    • (1991) Math. Biosci. , vol.107 , pp. 547-555
    • Scalia-Tomba, G.1
  • 36
    • 84881166951 scopus 로고
    • Asymptotically autonomous differential equations in the plane
    • H. R. THIEME, Asymptotically autonomous differential equations in the plane, Rocky Mountain J. Math., 24 (1994), pp. 351-380.
    • (1994) Rocky Mountain J. Math. , vol.24 , pp. 351-380
    • Thieme, H.R.1
  • 37
    • 0028282501 scopus 로고
    • Risk factors for the transition from noninjection to injection drug use and accompanying AIDS risk behavior in a cohort of drug users
    • E. J. C. VAN AMEIJDEN, J. A. R. VAN DEN HOEK, C. HARTGERS, AND R. A. COUTINHO, Risk factors for the transition from noninjection to injection drug use and accompanying AIDS risk behavior in a cohort of drug users, Amer. J. Epidemiol., 139 (1994), pp. 1153-1163.
    • (1994) Amer. J. Epidemiol. , vol.139 , pp. 1153-1163
    • Van Ameijden, E.J.C.1    Van Den Hoek, J.A.R.2    Hartgers, C.3    Coutinho, R.A.4
  • 38
    • 0028309908 scopus 로고
    • Modelling the effects of treatment and behavioral change in HIV transmission dynamics
    • J. X. VELASCO-HERNANDEZ AND Y. H. HSIEH, Modelling the effects of treatment and behavioral change in HIV transmission dynamics, J. Math. Biol., 32 (1994), pp. 233-249.
    • (1994) J. Math. Biol. , vol.32 , pp. 233-249
    • Velasco-Hernandez, J.X.1    Hsieh, Y.H.2
  • 40
    • 0023734579 scopus 로고
    • The San Francisco men's health study: Continued decline in HIV seroconversion rates among homosexual/bisexual men
    • W. WINKELSTEIN, J. WILEY, N. PADIAN, ET AL., The San Francisco men's health study: Continued decline in HIV seroconversion rates among homosexual/bisexual men, Amer. J. Public Health, 78 (1988), pp. 1472-1474.
    • (1988) Amer. J. Public Health , vol.78 , pp. 1472-1474
    • Winkelstein, W.1    Wiley, J.2    Padian, N.3


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