Critical dynamics of epidemic processes with Lévy-like diffusion

C. Argolo, C. Nauber, A.L. Moura and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2025, vol. 666, issue C

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.

Keywords: Epidemics modeling; Lévy diffusion; Absorbing state phase-transition (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843712500175X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:666:y:2025:i:c:s037843712500175x

DOI: 10.1016/j.physa.2025.130523

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().