메뉴 건너뛰기




Volumn 133, Issue 2, 1996, Pages 165-195

Measures of concurrency in networks and the spread of infectious disease

Author keywords

[No Author keywords available]

Indexed keywords

DISEASE TRANSMISSION; EPIDEMIC; INFECTION; INFECTION RISK; MATHEMATICAL MODEL; REVIEW;

EID: 0029662516     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(95)00093-3     Document Type: Article
Times cited : (339)

References (39)
  • 1
    • 0025246184 scopus 로고
    • The significance of sexual partner contact networks for the transmission dynamics of HIV
    • R. M. Anderson, S. Gupta, and W. Ng, The significance of sexual partner contact networks for the transmission dynamics of HIV, J. AIDS 3:417-429 (1990).
    • (1990) J. AIDS , vol.3 , pp. 417-429
    • Anderson, R.M.1    Gupta, S.2    Ng, W.3
  • 2
    • 77957175423 scopus 로고
    • A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS
    • R. M. Anderson, G. F. Medley, R. M. May, and A. M. Johnson, A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS, IMA J. Math. Appl. Med. Biol. 3:229-263 (1986).
    • (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
  • 3
  • 4
    • 77957175569 scopus 로고
    • A general solution of the problem of mixing in subpopulations and its application to risk- and age-structured epidemic models
    • S. Busenberg and C. Castillo-Chavez, A general solution of the problem of mixing in subpopulations and its application to risk-and age-structured epidemic models, IMA J. Math. Appl. Med. Biol. 8:1-29 (1991).
    • (1991) IMA J. Math. Appl. Med. Biol. , vol.8 , pp. 1-29
    • Busenberg, S.1    Castillo-Chavez, C.2
  • 5
    • 0343162203 scopus 로고
    • Pair formation in structured populations
    • Differential Equations with Applications in Biology, Physics, and Engineering, J. A. Goldstein, F. Kappel, and W. Schappacher, Eds., Marcel Dekker, New York
    • C. Castillo-Chavez, S. Busenberg, and K. Gerow, Pair formation in structured populations, in Differential Equations with Applications in Biology, Physics, and Engineering (Lect. Notes Pure Appl. Math. 133), J. A. Goldstein, F. Kappel, and W. Schappacher, Eds., Marcel Dekker, New York, 1991, pp. 47-65.
    • (1991) Lect. Notes Pure Appl. Math. , vol.133 , pp. 47-65
    • Castillo-Chavez, C.1    Busenberg, S.2    Gerow, K.3
  • 6
    • 0026552568 scopus 로고
    • Preliminary studies of sexual networks in a male homosexual community in Iceland
    • S. Haraldsdottir, S. Gupta, and R. M. Anderson, Preliminary studies of sexual networks in a male homosexual community in Iceland, J. AIDS 5:374-381 (1992).
    • (1992) J. AIDS , vol.5 , pp. 374-381
    • Haraldsdottir, S.1    Gupta, S.2    Anderson, R.M.3
  • 7
    • 0003020529 scopus 로고
    • Gonorrhea transmission dynamics and control
    • Springer-Verlag, New York
    • H. W. Hethcote and J. A. Yorke, Gonorrhea Transmission Dynamics and Control (Lect. Notes Biomath. 56), Springer-Verlag, New York, 1984.
    • (1984) Lect. Notes Biomath. , vol.56
    • Hethcote, H.W.1    Yorke, J.A.2
  • 8
    • 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. 90:415-473 (1988).
    • (1988) Math. Biosci. , vol.90 , pp. 415-473
    • Hyman, J.M.1    Stanley, E.A.2
  • 9
    • 0024205659 scopus 로고
    • Modeling and analyzing HIV transmission: The effect of contact patterns
    • J. A. Jacquez, C. P. Simon, J. Koopman, L. Sattenspiel, and T. Perry, Modeling and analyzing HIV transmission: the effect of contact patterns, Math. Biosci. 92:119-199 (1988).
    • (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
  • 10
    • 0000266332 scopus 로고
    • Structured mixing: Heterogeneous 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: heterogeneous mixing by the definition of activity groups, in Mathematical and Statistical Approaches to AIDS Epidemiology (Lect. Notes Biomath. 83), C. Castillo-Chavez, Ed., Springer-Verlag, New York, 1989, pp. 301-315.
    • (1989) Lect. Notes Biomath. , vol.83 , pp. 301-315
    • Jacquez, J.A.1    Simon, C.P.2    Koopman, J.3
  • 11
    • 0026318922 scopus 로고
    • A log-linear modeling framework for selective mixing
    • M. Morris, A log-linear modeling framework for selective mixing, Math. Biosci. 107:349-377 (1991).
    • (1991) Math. Biosci. , vol.107 , pp. 349-377
    • Morris, M.1
  • 12
    • 0023213425 scopus 로고
    • Population structure and the spread of disease
    • L. Sattenspiel, Population structure and the spread of disease, Hum. Biol. 59:411-438 (1987).
    • (1987) Hum. Biol. , vol.59 , pp. 411-438
    • Sattenspiel, L.1
  • 13
    • 0027948952 scopus 로고
    • A clarification of the φ-mixing model
    • M. Altmann and M. Morris, A clarification of the φ-mixing model, Math. Biosci. 124:1-7 (1994).
    • (1994) Math. Biosci. , vol.124 , pp. 1-7
    • Altmann, M.1    Morris, M.2
  • 14
    • 0020737985 scopus 로고
    • On the critical behavior of the general epidemic process and dynamical percolation
    • P. Grassberger, On the critical behavior of the general epidemic process and dynamical percolation, Math. Biosci. 63:157-172 (1983).
    • (1983) Math. Biosci. , vol.63 , pp. 157-172
    • Grassberger, P.1
  • 15
    • 0342292578 scopus 로고
    • A percolation model for venereal epidemics. I. Mean field theory
    • K. Wu and R. M. Bradley, A percolation model for venereal epidemics. I. Mean field theory, J. Phys. A.: Math. Gen. 24:2569-2580 (1991).
    • (1991) J. Phys. A.: Math. Gen. , vol.24 , pp. 2569-2580
    • Wu, K.1    Bradley, R.M.2
  • 16
    • 0023690558 scopus 로고
    • On the transmission dynamics of HIV
    • K. Dietz, On the transmission dynamics of HIV, Math. Biosci. 90:397-414 (1988).
    • (1988) Math. Biosci. , vol.90 , pp. 397-414
    • Dietz, K.1
  • 17
    • 0023728232 scopus 로고
    • Epidemiological models for sexually transmitted diseases
    • K. Dietz and K. P. Hadeler, Epidemiological models for sexually transmitted diseases, J. Math. Biol. 26:1-25 (1988).
    • (1988) J. Math. Biol. , vol.26 , pp. 1-25
    • Dietz, K.1    Hadeler, K.P.2
  • 19
    • 0000429426 scopus 로고
    • Pair formation in sexually transmitted diseases
    • C. Castillo-Chavez, Ed., Springer-Verlag, Berlin
    • R. Waldstätter, Pair formation in sexually transmitted diseases, in Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, Ed., Springer-Verlag, Berlin, 1989, pp. 260-274.
    • (1989) Mathematical and Statistical Approaches to AIDS Epidemiology , pp. 260-274
    • Waldstätter, R.1
  • 20
    • 0343162199 scopus 로고
    • Limit behaviour of pair formation for a large dissolution rate
    • X. Luo and C. Castillo-Chavez, Limit behaviour of pair formation for a large dissolution rate, J. Math. Syst. Estimation, Control 3:247-264 (1993).
    • (1993) J. Math. Syst. Estimation, Control , vol.3 , pp. 247-264
    • Luo, X.1    Castillo-Chavez, C.2
  • 23
    • 0001875368 scopus 로고
    • Triangles in heterosexual HIV transmission
    • N. P. Jewell, K. Dietz, and V. Farewell, Eds., Birkhäuser, Boston
    • K. Dietz and D. Tudor, Triangles in heterosexual HIV transmission, in AIDS Epidemiology: Methodological Issues, N. P. Jewell, K. Dietz, and V. Farewell, Eds., Birkhäuser, Boston, 1992, pp. 143-155.
    • (1992) AIDS Epidemiology: Methodological Issues , pp. 143-155
    • Dietz, K.1    Tudor, D.2
  • 24
    • 0026505445 scopus 로고
    • The influence of concurrent partnerships on the dynamics of HIV/AIDS
    • C. H. Watts and R. M. May, The influence of concurrent partnerships on the dynamics of HIV/AIDS, Math. Biosci. 108:89-104 (1992).
    • (1992) Math. Biosci. , vol.108 , pp. 89-104
    • Watts, C.H.1    May, R.M.2
  • 25
    • 0029175104 scopus 로고
    • SIR epidemic models with dynamic partnerships
    • M. Altmann, SIR epidemic models with dynamic partnerships, J. Math. Biol. 33:661-675 (1995).
    • (1995) J. Math. Biol. , vol.33 , pp. 661-675
    • Altmann, M.1
  • 26
    • 0011381640 scopus 로고
    • Modeling AIDS epidemics or any venereal disease on random graphs
    • P. Blanchard, G. F. Bolz, and T. Krüger, Modeling AIDS epidemics or any venereal disease on random graphs, Lect. Notes Biomath. 86:104-117 (1990).
    • (1990) Lect. Notes Biomath. , vol.86 , pp. 104-117
    • Blanchard, P.1    Bolz, G.F.2    Krüger, T.3
  • 28
    • 0003267425 scopus 로고
    • Theory of graphs
    • Am. Math. Soc., Providence, RI
    • O. Ore, Theory of Graphs, AMS Colloquium Publ. Vol. 38, Am. Math. Soc., Providence, RI, 1962.
    • (1962) AMS Colloquium Publ. , vol.38
    • Ore, O.1
  • 30
    • 84969080893 scopus 로고    scopus 로고
    • Concurrent partnerships and transmission dynamics in networks
    • in press
    • M. Morris and M. Kretzschmar, Concurrent partnerships and transmission dynamics in networks, Social Networks (in press).
    • Social Networks
    • Morris, M.1    Kretzschmar, M.2
  • 31
    • 0026344644 scopus 로고
    • The basic reproduction ratio for sexually transmitted diseases. Theoretical considerations
    • O. Diekmann, K. Dietz, and J. A. P. Heesterbeek, The basic reproduction ratio for sexually transmitted diseases. Theoretical considerations, Math. Biosci. 107:325-339 (1991).
    • (1991) Math. Biosci. , vol.107 , pp. 325-339
    • Diekmann, O.1    Dietz, K.2    Heesterbeek, J.A.P.3
  • 33
    • 0024439599 scopus 로고
    • Like-with-like preference and sexual mixing models
    • S. P. Blythe and C. Castillo-Chavez, Like-with-like preference and sexual mixing models, Math. Biosci. 96:221-238 (1989).
    • (1989) Math. Biosci. , vol.96 , pp. 221-238
    • Blythe, S.P.1    Castillo-Chavez, C.2
  • 34
    • 0000121386 scopus 로고
    • The effects of social mixing patterns on the spread of AIDS
    • Mathematical Approaches to Resource Management and Epidemiology, C. Castillo-Chavez, S. A. Levin, and C. Shoemaker, eds., Springer-Verlag, New York
    • J. M. Hyman and E. A. Stanley, The effects of social mixing patterns on the spread of AIDS, in Mathematical Approaches to Resource Management and Epidemiology (Lect. Notes Biomath. 81), C. Castillo-Chavez, S. A. Levin, and C. Shoemaker, eds., Springer-Verlag, New York, 1989, pp. 190-219.
    • (1989) Lect. Notes Biomath. , vol.81 , pp. 190-219
    • Hyman, J.M.1    Stanley, E.A.2
  • 35
    • 0003164799 scopus 로고
    • Parameter estimation in non-closed social networks related to the dynamics of sexually transmitted diseases
    • E. H. Kaplan and M. L. Brandeau, Eds., Raven Press, New York
    • S.-F. Hsu Schmitz and C. Castillo-Chavez, Parameter estimation in non-closed social networks related to the dynamics of sexually transmitted diseases, in Modeling the AIDS Epidemic: Planning, Policy, and Prediction, E. H. Kaplan and M. L. Brandeau, Eds., Raven Press, New York, 1994, pp. 533-559.
    • (1994) Modeling the AIDS Epidemic: Planning, Policy, and Prediction , pp. 533-559
    • Hsu Schmitz, S.-F.1    Castillo-Chavez, C.2
  • 37
    • 0026360185 scopus 로고
    • Reproduction numbers and thresholds in stochastic epidemic models. I. Homogeneous population
    • J. Jacquez and P. O'Neill, Reproduction numbers and thresholds in stochastic epidemic models. I. Homogeneous population, Math. Biosci. 107:161-186 (1991).
    • (1991) Math. Biosci. , vol.107 , pp. 161-186
    • Jacquez, J.1    O'Neill, P.2
  • 38
    • 0023091646 scopus 로고
    • Transmission dynamics of HIV infection
    • R. M. May and R. M. Anderson, Transmission dynamics of HIV infection, Nature 326:137-142 (1987).
    • (1987) Nature , vol.326 , pp. 137-142
    • May, R.M.1    Anderson, R.M.2
  • 39
    • 0027340024 scopus 로고
    • Concurrent partnerships could cause AIDS epidemics
    • C. P. Hudson, Concurrent partnerships could cause AIDS epidemics, Int. J. STD AIDS 4:249-253 (1993).
    • (1993) Int. J. STD AIDS , vol.4 , pp. 249-253
    • Hudson, C.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.