Two-dimensional SIR epidemics with long range infection

DOI10.1007/s10955-013-0824-7zbMath1291.82023arXiv1305.5940OpenAlexW2093717984MaRDI QIDQ2016501

Peter Grassberger

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5940

zbMATH Keywords

networksepidemicslong rangecriticalsuper-criticalsusceptible-infected-removed

Mathematics Subject Classification ID

Epidemiology (92D30) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Medical epidemiology (92C60)

Related Items (7)

Criticality of spin systems with weak long-range interactions ⋮ Criticality of the Higgs mass for the long-range quantum \(XY\) chain: amplitude ratio between the Higgs and paramagnetic gaps ⋮ Percolation in media with columnar disorder ⋮ Discontinuous percolation transitions in growing networks ⋮ Percolation on complex networks: theory and application ⋮ Percolation and the pandemic ⋮ Persistence discontinuity in disordered contact processes with long-range interactions

Cites Work

• Unnamed Item
• On the critical behavior of the general epidemic process and dynamical percolation
• On the scaling of the chemical distance in long-range percolation models
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• The diameter of long-range percolation clusters on finite cycles
• Small-world phenomena and the statistics of linear polymers
• The diameter of a long-range percolation graph
• The small-world phenomenon
• Tricritical directed percolation in 2+1 dimensions
• Long-range epidemic spreading with immunization

This page was built for publication: Two-dimensional SIR epidemics with long range infection