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Hypothetical Control of Fatal Quarrel Variability.

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This summary is machine-generated.

Large-scale disasters like wars and attacks cause casualties following Pareto

Keywords:
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Area of Science:

  • Complex Systems Science
  • Statistical Physics
  • Social Network Analysis

Background:

  • Disasters and attacks cause mass casualties.
  • Casualty distributions often follow Pareto's inverse power laws (IPLs).

Purpose of the Study:

  • To model deaths from terrorist attacks using a double Pareto probability density function (PDF).
  • To explore the role of social network complexity in casualty distributions.
  • To apply fractional calculus to model and control such events.

Main Methods:

  • Fitting a double Pareto PDF to terrorist attack fatality data.
  • Utilizing fractional probability calculus and fractional Fokker-Planck equations (FFPE).
  • Parameterizing a control process to temper Lévy processes with collective potentials.

Main Results:

  • The double Pareto PDF effectively models deaths from terrorist attacks.
  • Casualty distribution is linked to social network complexity.
  • The FFPE steady-state solution fits a 40-year fatal quarrel (FQ) dataset.

Conclusions:

  • Fractional calculus provides a framework for understanding disaster casualty distributions.
  • Social network complexity is a key factor influencing casualty patterns.
  • The developed model offers insights into mitigating disaster impacts.