Critical properties of the SIS model dynamics on the Apollonian network

DOI10.1088/1742-5468/2013/05/P05003zbMath1456.92133OpenAlexW2066787503MaRDI QIDQ3301601

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Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2013/05/p05003

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (11)

Dynamics of epidemic spreading with vaccination: impact of social pressure and engagement ⋮ Critical properties of the SIS model on the clustered homophilic network ⋮ Consensus formation on Apollonian networks ⋮ Information spreading dynamics in hypernetworks ⋮ Two-dimensional diffusive epidemic process in the presence of quasiperiodic and quenched disorder ⋮ Exact solutions and infinite-order phase transitions for a general class of Ising models on the regularized Apollonian network ⋮ Exactly solvable tight-binding model on the RAN: fractal energy spectrum and Bose–Einstein condensation ⋮ Critical properties of the contact process on a scale-free homophilic network ⋮ Qualitative analysis of a nonautonomous stochastic \(SIS\) epidemic model with Lévy jumps ⋮ Reactivating dynamics for the susceptible-infected-susceptible model: a simple method to simulate the absorbing phase ⋮ The diffusive epidemic process on Barabasi–Albert networks

Cites Work

• Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
• Complex networks: structure and dynamics
• The Mathematics of Infectious Diseases
• Universality classes in nonequilibrium lattice systems
• Emergence of Scaling in Random Networks
• Transport processes in fractals—I. Conductivity and permeability of a leibniz packing in the lubrication limit
• Collective dynamics of ‘small-world’ networks
• The Problem of Apollonius
• The Osculatory Packing of a Three Dimensional Sphere

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