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Mathematical Approaches to Problems in Resource Management and Epidemiology pp 177–189Cite as

The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS)

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Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 81))

Abstract

Single and multiple group models for the spread of HIV (human immunodeficiency virus) are introduced. Partial analytical results for these models are presented for two specific cases. First for a model for which the duration of infectiousness has a negative exponential distribution and second for a model for which all individuals remain infectious for a fixed length of time.

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Author information

Authors and Affiliations

  1. Center for Applied Math. Ecology and Systematics Biometrics Unit, Cornell University, Ithaca, NY, 14853-7801, USA

    Carlos Castillo-Chavez

  2. Dept. of Mathematics, Pomona College, Claremont, CA, 91711, USA

    Kenneth Cooke

  3. Claremont Graduate School, Claremont, CA, 91711, USA

    Wenzhang Huang

  4. Cent. for Environ. Research Ecol. and Syst., Cornell University, Ithaca, NY, 14853, USA

    Simon A. Levin

Authors
  1. Carlos Castillo-Chavez
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  2. Kenneth Cooke
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  3. Wenzhang Huang
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  4. Simon A. Levin
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Editor information

Editors and Affiliations

  1. Biometrics Unit and Center for Applied Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Carlos Castillo-Chavez

  2. Section of Ecology and Systematics, Center for Environmental Research and Center for Applied Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Simon A. Levin

  3. School of Civil and Environmental Engineering and Center for Applied Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Christine A. Shoemaker

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© 1989 Springer-Verlag Berlin Heidelberg

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Castillo-Chavez, C., Cooke, K., Huang, W., Levin, S.A. (1989). The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS). In: Castillo-Chavez, C., Levin, S.A., Shoemaker, C.A. (eds) Mathematical Approaches to Problems in Resource Management and Epidemiology. Lecture Notes in Biomathematics, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46693-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-46693-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51820-4

  • Online ISBN: 978-3-642-46693-9

  • eBook Packages: Springer Book Archive

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