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Related Experiment Videos

Time-delay dynamics for contagious bovine pleuropneumonia.

Thomas Balenghien1, Karine Chalvet-Monfray, Matthieu Lesnoff

  • 1Unité Biomathématiques et Epidémiologie, INRA, Ecole Nationale Vétérinaire de Lyon, 1, avenue Bourgelat, BP 83, 69280 Marcy l'Etoile, France.

Acta Biotheoretica
|November 3, 2004
PubMed
Summary

Investigating contagious bovine pleuropneumonia (CBPP) spread, this study found time-delay models with extreme sojourn time distributions show wave-like oscillations. Classical models without delay result in longer disease persistence, making time-delay dynamics more suitable for experimental CBPP epidemics.

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Veterinary Medicine

Background:

  • Compartmental SEIR-like models are standard for contagious disease modeling, assuming exponential waiting times.
  • The impact of sojourn time distributions in infective compartments on disease dynamics remains an area for deeper investigation.

Purpose of the Study:

  • To analyze how different sojourn time distributions in infective compartments influence the dynamics and persistence of contagious bovine pleuropneumonia (CBPP).
  • To compare disease dynamics between models with and without time delays.

Main Methods:

  • Developed mathematical models using Dirac delta-function and truncated Gaussian distributions for sojourn times, introducing time delays.
  • Compared these with a classical model using exponential distributions (no delay).

Related Experiment Videos

  • Derived expressions for the basic reproductive number and analyzed dynamical behaviors for all three models.

    • Main Results:

    • Time-delay dynamics, incorporating extreme sojourn time distributions, exhibited wave-like oscillations in disease spread.
    • Classical dynamics without delay resulted in prolonged disease persistence.
    • The time-delay model demonstrated a better fit for describing an experimental CBPP epidemic.

    Conclusions:

    • Sojourn time distribution significantly impacts contagious disease dynamics.
    • Time-delay models offer a more realistic representation of CBPP spread compared to classical models.
    • The findings suggest time-delay dynamics are crucial for accurately modeling certain epidemics.