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Structured Population Models for HIV Infection Pair Formation and Non-constant Infectivity

  • K. P. Hadeler

Abstract

The spread of a sexually transmitted disease with long incubation period such as HIV is modeled in a population which is structured by age, sex, and duration of infection. Since empirical evidence shows that in the HIV situation infectivity varies considerably from the moment of infection to the onset of AIDS, the effects of non-constant infectivity are studied in detail. A characteristic eigenvalue problem is derived which determines stability or instability of the uninfected state of the population. For the case of constant population size the basic reproduction number is calculated. The dependence of this number on the infectivity is studied by analytical and numerical methods. The results indicate that non-constant infectivity leads to a lower basic reproduction number when compared to a constant infectivity obtained by appropriate averaging.

Keywords

Pair Formation Basic Reproduction Number Single Male Ordinary Differential Equation Model Constant Population Size 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • K. P. Hadeler
    • 1
  1. 1.Lehrstuhl für BiomathematikUniversität TübingenTübingenDeutschland

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