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Random Allocation Methods in an Epidemic Model

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Stochastic Processes

Abstract

A random allocation model is developed for the numbers of susceptibles in a group of n IVDU’s who become infected by i HIV-infectives sharing needles. A comparison of this model and the classical Reed-Frost model is outlined.

Research carried out with the support of NIH grant R01 AI29426.

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References

  • Bailey, N.T.J. (1975) The Mathematical Theory of Infectious Diseases. Griffin, London.

    MATH  Google Scholar 

  • Cohen, P.T., Sande, M.A. and Volberding, P.A. (1990) The AIDS Knowledge Base. Medical Publishing Group, Waltham, Mass.

    Google Scholar 

  • Gani, J. (1991) Generating function methods in a random allocation problem of epidemics. Bull. Inst. Combinatorics Applns. 3, 43–50.

    MathSciNet  MATH  Google Scholar 

  • Gani, J., Heathcote, C.R. and Nicholls, D.F. (1991) A model of HIV infection through needle sharing. To appear in J. Math. Phys. Sciences.

    Google Scholar 

  • Gani, J. and Yakowitz, S. (1991) Modelling the spread of HIV among intravenous drug users. Technical Report 181, U. of California, Santa Barbara.

    Google Scholar 

  • Johnson, N.L. and Kotz. (1977) Urn Models and their Applications. John Wiley and Sons, New York.

    Google Scholar 

  • Martin-Löf, A. (1986) Symmetric sampling procedures, general epidemic processes and their limit threshold theorems. J. Appl. Prob. 23, 265–282.

    Article  MATH  Google Scholar 

  • Wolk, J., Wodak, A., Morlet, A., Guinan, J.J. and Gold, J. (1990) HIV-related risk-taking behaviour, knowledge and serostatus of intravenous drug users in Sydney. Med. J. Aust. 152, 453–458.

    Google Scholar 

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© 1993 Springer-Verlag New York, Inc.

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Gani, J. (1993). Random Allocation Methods in an Epidemic Model. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_12

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  • DOI: https://doi.org/10.1007/978-1-4615-7909-0_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7911-3

  • Online ISBN: 978-1-4615-7909-0

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