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A simple model of recurrent epidemics

A Johansen1

  • 1Laboratoire de Physique de la Matiere Condensee, Universite de Nice-Sophia Antipolis, France.

Journal of Theoretical Biology
|January 7, 1996
PubMed
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This study models disease spreading using a cellular automaton, revealing persistent, recurrent epidemics. The model shows spatial disease fronts and oscillations without external forcing, driven by transmission and immunity loss.

Area of Science:

  • Epidemiology
  • Computational Biology
  • Mathematical Modeling

Background:

  • Understanding disease dynamics is crucial for public health.
  • Simple models can reveal fundamental mechanisms of epidemic spread.

Purpose of the Study:

  • To investigate a cellular automaton model for disease spreading.
  • To identify conditions leading to persistent, recurrent epidemic behavior.

Main Methods:

  • Utilized a cellular automaton simulation.
  • Analyzed both deterministic and stochastic inputs of susceptible individuals.
  • Examined spatial organization and temporal oscillations in infectious individuals.

Main Results:

  • Observed a steady-state characterized by spatial disease fronts.

Related Experiment Videos

  • Identified undamped temporal oscillations in the number of infectious individuals.
  • Demonstrated that recurrent epidemics can persist without external forcing.

    • Conclusions:

    • Simple nearest-neighbor transmission with a mechanism for introducing new susceptible individuals (e.g., loss of immunity) can generate complex spatio-temporal epidemic dynamics.
    • Recurrent epidemic behavior can emerge intrinsically from local interactions and renewal processes.