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A core group model for disease transmission

K P Hadeler1, C Castillo-Chavez

  • 1Universität Tübingen, Germany.

Mathematical Biosciences
|July 1, 1995
PubMed
Summary
This summary is machine-generated.

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Partially effective STD interventions may increase overall cases by influencing recruitment into core groups. The basic reproduction number is less valuable for eliminating existing epidemics.

Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Public Health

Background:

  • Sexually transmitted disease (STD) models often assume a fixed core group size.
  • Disease prevalence can influence susceptible recruitment into high-risk populations.
  • Core groups may have reduced risk via vaccination or prophylactics.

Purpose of the Study:

  • To formulate a demographic-epidemic model accounting for population dynamics and disease spread.
  • To analyze the impact of interventions on STD endemicity within core and non-core populations.
  • To investigate the role of the basic reproduction number in STD elimination strategies.

Main Methods:

  • Development of a demographic-epidemic model with constant total population size.
  • Analysis of a simplified model focusing on an isolated, constant-size core population.

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  • Determination of endemic infection thresholds and examination of phenomena like backward bifurcations and hysteresis.

    • Main Results:

    • Partially effective vaccination or education programs can increase total STD cases.
    • These interventions decrease the relative frequency of cases within the core group.
    • Abrupt changes in disease prevalence can occur due to small shifts in management parameters.

    Conclusions:

    • Interventions targeting STD core groups require careful consideration of recruitment dynamics.
    • The basic reproduction number is a limited metric for eliminating established STD epidemics.
    • Understanding population dynamics is crucial for effective STD control and elimination.