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Critical dynamics of epidemic processes with Lévy-like diffusion

Author

Listed:
  • Argolo, C.
  • Nauber, C.
  • Moura, A.L.
  • Lyra, M.L.

Abstract

We investigate the critical behavior of a stochastic one-dimensional lattice model of a diffusion-limited epidemic process with Lévy flights. Particles A represent healthy individuals and particles B are infected. These particles diffuse along the chain with distinct diffusion rates. The hopping distance is assumed to obey a Lévy power-law distribution governed by a characteristic exponent α. The epidemic process is governed by the reaction processes A+B→2B and B→A with proper reaction rates. The system presents a non-equilibrium absorbing state phase-transition at a critical total particle density on which the population of B becomes extinct. Using short-time dynamics Monte Carlo simulations, we determine a set of relevant critical exponents for distinct diffusion regimes going from the non-trivial short-range hopping universality classes holding for large values of α towards the mean-field exponents as α approaches unity.

Suggested Citation

  • Argolo, C. & Nauber, C. & Moura, A.L. & Lyra, M.L., 2025. "Critical dynamics of epidemic processes with Lévy-like diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 666(C).
    • Handle: RePEc:eee:phsmap:v:666:y:2025:i:c:s037843712500175x
    DOI: 10.1016/j.physa.2025.130523
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