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Epidemic spreading with immunization and mutations.

Stephan M Dammer1, Haye Hinrichsen

  • 1Institut für Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 26, 2003
PubMed
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Mutations in pathogens significantly weaken immunization effectiveness, shifting epidemic models from general epidemic processes (GEP) towards directed percolation (DP). This research models infectious disease spread with mutations and immunization.

Area of Science:

  • Epidemiology
  • Statistical Physics
  • Mathematical Biology

Background:

  • Infectious disease spread can be modeled by stochastic processes with transitions between active epidemic and absorbing phases.
  • Pathogen mutation can compromise immunization effectiveness, a factor not always included in epidemic models.

Purpose of the Study:

  • To introduce and analyze a model of epidemic spreading that incorporates both immunization and pathogen mutations.
  • To investigate the influence of mutations on the phase transitions and scaling behavior of epidemic models.

Main Methods:

  • Developed a stochastic model mimicking epidemic spread with immunization and mutations.
  • Analyzed the phase diagram and scaling behavior in two spatial dimensions, focusing on continuous phase transitions.

Related Experiment Videos

  • Compared the model to the general epidemic process (GEP) and directed percolation (DP).

    • Main Results:

    • The model exhibits a line of continuous phase transitions, with GEP and DP as special cases.
    • Mutations generically cause a crossover from GEP to DP behavior.
    • The protective effect of immunization is substantially reduced by mutations.

    Conclusions:

    • Pathogen mutations introduce a crossover in epidemic dynamics, fundamentally altering the impact of immunization.
    • The study provides insights into the complex interplay between disease transmission, mutation, and control strategies.