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Volumn 150, Issue 2, 1998, Pages 153-175

The deterministic limit of infectious disease models with dynamic partners

Author keywords

Epidemiology; Limit theorems; Mathematical models; Social networks; Stochastic processes

Indexed keywords

INFECTIOUS DISEASE; MODELLING; POPULATION DYNAMICS;

EID: 0032526467     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)00012-1     Document Type: Article
Times cited : (23)

References (18)
  • 1
    • 0023728232 scopus 로고
    • Epidemiological models for sexually transmitted diseases
    • Dietz K., Hadeler K.P. Epidemiological models for sexually transmitted diseases. J. Math Biol. 26:1988;1.
    • (1988) J. Math Biol , vol.26 , pp. 1
    • Dietz, K.1    Hadeler, K.P.2
  • 2
    • 0001875368 scopus 로고
    • Triangles in heterosexual HIV transmission
    • N.P. Jewell, K. Dietz, V. Farewell (Eds.), Birkhäuser, Boston
    • K. Dietz, D. Tudor, Triangles in heterosexual HIV transmission, in: N.P. Jewell, K. Dietz, V. Farewell (Eds.), AIDS Epidemiology: Methodological Issues, Birkhäuser, Boston, 1992, p. 143.
    • (1992) AIDS Epidemiology: Methodological Issues , pp. 143
    • Dietz, K.1    Tudor, D.2
  • 5
    • 0344733979 scopus 로고
    • Simulation on random graphs of the epidemic dynamics of sexually transmitted diseases - A new model for the epidemiology of AIDS
    • S. Albeverio, P. Blanchard, D. Testard (Eds.), Stochastics, Algebra and Analysis in Classical and Quantum Dynamics, CIRM, Marseille, France, Kluwer Academic, Boston
    • G.F. Bolz, Simulation on random graphs of the epidemic dynamics of sexually transmitted diseases - a new model for the epidemiology of AIDS, in: S. Albeverio, P. Blanchard, D. Testard (Eds.), Stochastics, Algebra and Analysis in Classical and Quantum Dynamics, Proceedings of the Fourth French-German Encounter on Mathematics and Physics, CIRM, Marseille, France, 1988, Kluwer Academic, Boston, 1990.
    • (1988) Proceedings of the Fourth French-German Encounter on Mathematics and Physics
    • Bolz, G.F.1
  • 6
    • 0025071029 scopus 로고
    • The dynamics of HIV spread: A computer simulation model
    • Leslie W.D., Brunham R.C. The dynamics of HIV spread: A computer simulation model. Comput. Biomed. Res. 23:1990;380.
    • (1990) Comput. Biomed. Res. , vol.23 , pp. 380
    • Leslie, W.D.1    Brunham, R.C.2
  • 9
    • 0000224842 scopus 로고
    • Reproduction numbers and critical immunity levels for epidemics in a community of households
    • C.C. Heyde, Y.V. Prohorov, R. Pyke, S.T. Rachev (Eds.)
    • N.G. Becker, K. Dietz, Reproduction numbers and critical immunity levels for epidemics in a community of households, in: C.C. Heyde, Y.V. Prohorov, R. Pyke, S.T. Rachev (Eds.), Athens Conference on Applied Probability and Time Series, vols. 1, 114, 1995, p. 267.
    • (1995) Athens Conference on Applied Probability and Time Series , vol.1 , Issue.114 , pp. 267
    • Becker, N.G.1    Dietz, K.2
  • 10
    • 0026505445 scopus 로고
    • The influence of concurrent partnerships on the dynamics of HIV/AIDS
    • Watts C.H., May R.M. The influence of concurrent partnerships on the dynamics of HIV/AIDS. Math. Biosci. 108:1992;89.
    • (1992) Math. Biosci. , vol.108 , pp. 89
    • Watts, C.H.1    May, R.M.2
  • 11
    • 0029175104 scopus 로고
    • Susceptible-infected-removed epidemic models with dynamic partnerships
    • Altmann M. Susceptible-infected-removed epidemic models with dynamic partnerships. J. Math. Biol. 33:1995;661.
    • (1995) J. Math. Biol. , vol.33 , pp. 661
    • Altmann, M.1
  • 15
    • 0029662516 scopus 로고    scopus 로고
    • Measures of concurrency in networks and the spread of influence disease
    • M. Kretzschmar, M. Morris, Measures of concurrency in networks and the spread of influence disease, Math. Biosci. (1996) 165.
    • (1996) Math. Biosci. , pp. 165
    • Kretzschmar, M.1    Morris, M.2
  • 16
    • 0000522884 scopus 로고
    • Concurrent partnerships and transmission dynamics in networks
    • M. Morris, M. Kretzschmar, Concurrent partnerships and transmission dynamics in networks, Social Networks (1995) 299.
    • (1995) Social Networks , pp. 299
    • Morris, M.1    Kretzschmar, M.2
  • 17
    • 0022904506 scopus 로고
    • On a general class of models for interaction
    • Strauss D. On a general class of models for interaction. SIAM Rev. 28(4):1986;513.
    • (1986) SIAM Rev. , vol.28 , Issue.4 , pp. 513
    • Strauss, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.