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Representing Aggregation and Scale Effects in HIV/AIDS Epidemic Modelling Systems

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Geomed ’97

Part of the book series: Informatik und Unternehmensführung ((I&U))

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Abstract

This paper reviews and evaluates some of the alternative disaggregations of the population at risk to infection that have been specified in HIV/AIDS epidemic modelling systems, together with methods for simulating incidence in space and time. Particular attention is paid to the influence of scale (the nature and size of the geographical units analysed) as a constraint upon both the model designs and their application to understanding the consequences of disease prevention strategies.

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References

  • Anderson R M 1988 The epidemiology of HIV infection: variable incubation plus infectious periods in sexual activity Journal of the Royal Statistical Society A 151 66–93

    Article  MATH  Google Scholar 

  • Anderson R M, May R M 1991 Infectious diseases of humans: dynamics and control Oxford: OUP

    Google Scholar 

  • Bailey N J T 1975 The mathematical theory of infectious diseases and its applications High Wycombe: Charles Griffin

    MATH  Google Scholar 

  • Bailey N J T 1995 Operational modelling of HIV/AIDS to assist public health control. In D Mollison (ed) Epidemic models; their structure and relation to data (Cambridge: CUP) pp.404–16

    Google Scholar 

  • Bailey N J T, Estreicher J 1987 Epidemic prediction and public health control, with special reference to influenza and AIDS Proceedings, World Congress of the Bernoulli Society 1 507–16

    Google Scholar 

  • Banerjee K 1989 Rising prevalence of antibodies against HIV–1 in Western Maharashtra, India Abstracts of the 5th International Conference on AIDS Montreal Abstract TG022

    Google Scholar 

  • Baroyan O V, Rvachev L A 1967 Deterministic epidemic models for a territory with a transport network Kibernetika 3 67–74

    Google Scholar 

  • Barré-Sinoussi F, Chermann J C, Rey F, Nugeyre N T, Charnaret S, Gruest J, Danduet C, Axlerblin C, Vézinet-Brun F, Rouzioux C, Rozenbaum W, Montagnier L 1983 Isolating of a Tlymphotrophic retro-virus from a patient at risk from acquired immunodeficiency syndrome Science 220 865–71

    Article  Google Scholar 

  • Bassett M T, Mhloyi M 1991 Women and AIDS in Zimbabwe: the making of an epidemic International Journal of Health Services 21 143–56

    Article  Google Scholar 

  • Brookmeyer R 1991 Reconstructing the future trends of the AIDS epidemic in the United States Science 253 37–42

    Article  Google Scholar 

  • Cliff A D, Haggett P, Ord J K 1986 Spatial aspects of influenza epidemics London: Pion

    Google Scholar 

  • Cliff A D, Logan J D 1997 A structural time series approach to forecasting the space-time incidence of infectious diseases: post-war measles elimination in the United States and Iceland. In M M Fischer and A Getis (eds) Recent developments in spatial statistics, behavioural modelling and neurocomputing (New York: Springer) in press

    Google Scholar 

  • Earickson R J 1990 International behavioural responses to a health hazard: AIDS Social Science and Medicine 31 951–62

    Article  Google Scholar 

  • Flahault A, Valleron A 1992 A method for assessing the spread of HIV-1 infection based on air travel Mathematical Population Studies 3 161–71

    Article  MATH  Google Scholar 

  • Gould P 1993 The slow plague: a geography of the AIDS pandemic Oxford: Blackwell

    Google Scholar 

  • Gotlieb M S, Schroff R, Schanker H M, Weisman J D, Fan P T, Wolf R A, Saxon A S 1981 Pneumocystis carinii pneumonia and mucosal candidiasis in previously healthy homosexual men: evidence of a new acquired cellular immunodeficiency New England Journal of Medicine 305 1425–31

    Google Scholar 

  • Grant R M, Wiley J A, Winkelstein W 1987 Infectivity of the Human Immmunodeficiency Virus of homosexual men Journal of Infectious Diseases 156 189–93

    Article  Google Scholar 

  • Haggett P 1994 Prediction and predictability in geographical systems Transactions of the Institute of British Geographers 19 6–20

    Google Scholar 

  • Haraldsdottir S, Gupta S, Anderson R 1992 Preliminary studies of sexual networks in a male homosexual community in Iceland Journal of AIDS 5 374–81

    Google Scholar 

  • Hethcote H W 1996 Modeling heterogeneous mixing in infectious disease dynamics. In V Isham and G Medley (eds) Infectious diseases of humans: their structure and relation to data (Cambridge: CUP) pp.215–38

    Chapter  Google Scholar 

  • Hethcote H W, Yorke J A 1984 Gonorrhoea transmission dynamics and control Lecture Notes in Biomathematics 56 New York: Springer

    Google Scholar 

  • Heesterbeek J A P 1992 R0 PhD thesis Leiden: University of Leiden

    Google Scholar 

  • Isham V 1988 Mathematical modelling of the transmission dynamics of HIV infection and AIDS: a review Journal of the Royal Statistical Society A 151 5–30

    Article  MathSciNet  MATH  Google Scholar 

  • Jacquez J A, Simon C P, Koopman J 1991 The reproduction number in deterministic models of contagious diseases Comments on Theoretical Biology 2 159–209

    Google Scholar 

  • Jacquez J A, Simon C P, Koopman J 1995 Core groups and the R0s for subgroups in heterogeneous SIS and SI models. In D Mollison (ed) Epidemic models: their structure and relation to data (Cambridge: CUP) pp.279–301

    Google Scholar 

  • Kaplan E H 1989 Can bad models suggest good policies: sexual mixing and the AIDS epidemic Journal of Sex Research 26 301–14

    Article  Google Scholar 

  • Kaplan E H, Lee Y S 1989 How bad can it get? Bounding worst case endemic heterogeneous mixing models of HIV/AIDS Mathematical Biosciences 99 157–80

    Article  MathSciNet  Google Scholar 

  • Kirp D L, Bayer R 1992 AIDS in the industrialised democracies: passions, politics and policies New Brunswick: Rutgers University Press

    Google Scholar 

  • Knox E G 1986 A transmission model for AIDS European Journal of Epidemiology 2 165–77

    Google Scholar 

  • Knox E G, MacArthur C, Simons K J 1993 Sexual behaviour and AIDS in Great Britain London: HMSO

    Google Scholar 

  • Lam N S-N, Fan M, Liu K 1996 Spatial-temporal spread of the AIDS epidemic, 1982–90: a correlogram analysis of four regions of the United States Geographical Analysis 28 93–107

    Article  Google Scholar 

  • Li W H, Tanimura M, Sharp P M 1988 Rates and dates of divergence between AIDS virus nucleotide sequences Molecular Biology and Evolution 54 313–30

    Google Scholar 

  • Lin X, Hethcote H W, van den Driessche P 1993 An epidemiological model for HIV/AIDS with proportional recruitment Mathematical Biosciences 118 181–95

    Article  MathSciNet  MATH  Google Scholar 

  • Longini I M, Byers R H, Hessol N A, Tan W Y 1992 Estimating the stage-specific numbers of HIV infection using a Markov model and backcalculation Statistics in Medicine 11 831–43

    Article  Google Scholar 

  • Longini I M, Fine P E M, Thacker S B 1986 Predicting the global spread of new infectious agents American Journal of Epidemiology 123 383–91

    Google Scholar 

  • Mariotto A 1989 Rate of growth of AIDS epidemic in Europe: a comparative analysis Philosophical Transactions of the Royal Society, London B 325 175–8

    Article  Google Scholar 

  • May R M, Anderson R M, Blower S M 1989 The epidemiology and transmission dynamics of HIV/AIDS Daedalus 118 163–201

    Google Scholar 

  • Mollison D (ed) 1995 Epidemic models: their structure and relation to data Cambridge: CUP

    MATH  Google Scholar 

  • Morris M 1991 A log-linear modeling framework for selective mixing Mathematical Biosciences 107 349–77

    Article  Google Scholar 

  • Morris M 1995 Data driven network models for the spread of infectious disease. In D Mollison (ed) Epidemic models: their structure and relation to data (Cambridge: CUP) pp.302–22

    Google Scholar 

  • Morris M 1996 Behaviour change and non-homogeneous mixing. In V Isham and G Medley (eds) Infectious diseases of humans: their structure and relation to data (Cambridge: CUP) pp.239–52

    Chapter  Google Scholar 

  • Peterman T A, Stoneburner R L, Allen J R, Jaffe H W, Curran J W 1988 Risk of HIV transmission from heterosexual adults with transfusion-associated infections Journal of the American Medical Association 259 53–63

    Article  Google Scholar 

  • Raab G M, Gore S M, Goldberg D J, Donnelly C A 1994 Bayesian forecasting of the HIV epidemic in Scotland Journal of the Royal Statistical Society A 157 17–30

    Article  Google Scholar 

  • Rosenberg P S, Gail H M, Carroll R J 1992 Estimating HIV prevalence and projecting AIDS incidence in the United States: a model that accounts for therapy and changes in the surveillance definition of AIDS Statistics in Medicine 11 1633–55

    Article  Google Scholar 

  • Smyth F M, Thomas R W 1996a Preventative action and the diffusion of HIV/AIDS Progress in Human Geography 20 1–22

    Article  Google Scholar 

  • Smyth F M, Thomas R W 1996b Controlling HIV/AIDS in Ireland: the implications for health policy of some epidemic forecasts Environment and Planning A 28 99–118

    Article  Google Scholar 

  • Solomon P J 1996 AIDS: modelling and predicting. In V Isham and G Medley (eds) Infectious diseases of humans: their structure and relation to data (Cambridge: CUP) pp.407–38

    Chapter  Google Scholar 

  • Thomas R W 1988 Stochastic carrier models for the simulation of Hodgkin’s disease in a system of regions Environment and Planning A 20 1575–1601

    Article  Google Scholar 

  • Thomas R W (ed) 1990 Spatial epidemiology London: Pion

    Google Scholar 

  • Thomas R W 1992 Geomedical systems: intervention and control London: Routledge

    Google Scholar 

  • Thomas R W 1993 Source region effects in epidemic disease modeling: comparisons between influenza and HIV Papers in Regional Science 72 257–82

    Article  Google Scholar 

  • Thomas R W 1994 Forecasting global HIV/AIDS dynamics: modelling strategies and preliminary simulations Environment and Planning A 26 1147–66

    Article  Google Scholar 

  • Thomas R W 1996a Modelling space-time HIV/AIDS dynamics: applications to disease control Social Science and Medicine 43 353–66

    Article  Google Scholar 

  • Thomas R W 1996b Alternative population dynamics in selected HIV/AIDS modeling systems: some cross–national comparisons Geographical Analysis 28 108–25

    Article  Google Scholar 

  • Thomas R W 1997 Reproduction rates in multiregion modelling systems for HIV/AIDS Journal of Regional Science submitted for publication

    Google Scholar 

  • Thomas R W, Smyth F M 1997 Estimating the impact of preventative action on the space-time incidence of HIV/AIDS. In M M Fischer and A Getis (eds) Recent developments in spatial statistics, behavioural modelling and computational intelligence (New York: Snrineer) in press

    Google Scholar 

  • Van Druten J A M, Reintjes A G M, Jager J C, Heisterkamp S M, Poos M J J C, Countinho R A, Dijkgraaf M G W, Ruitenberg E J 1990 Infection dynamics and intervention experiments in limited risk groups Statistics in Medicine 9 721–36

    Article  Google Scholar 

  • Wilson A G, Bennett R J 1985 Mathematical models in human geography and planning Chichester: Wiley

    Google Scholar 

  • Yorke J A, Hethcote H W, Nold A 1978 Dynamics and control of the transmission of gonorrhoea Sexually Transmitted Diseases 5 51–156

    Article  Google Scholar 

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© 1998 B. G. Teubner Verlagsgesellschaft Leipzig

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Thomas, R. (1998). Representing Aggregation and Scale Effects in HIV/AIDS Epidemic Modelling Systems. In: Gierl, L., Cliff, A.D., Valleron, AJ., Farrington, P., Bull, M. (eds) Geomed ’97. Informatik und Unternehmensführung. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-95397-1_8

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  • DOI: https://doi.org/10.1007/978-3-322-95397-1_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-8154-2311-0

  • Online ISBN: 978-3-322-95397-1

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