Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
arXiv:1901.01403 · doi:10.1016/j.physleta.2019.126063
Abstract
We considered the Asynchronous SIR (susceptible-infected-removed) model on Penrose and Ammann-Beenker quasiperiodic lattices, and obtained its critical behavior by using Newman-Ziff algorithm to track cluster propagation by making a tree structure of clusters grown at the dynamics, allowing to simulate SIR model on non-periodic lattices and measure any observable related to percolation. We numerically calculated the order parameter, defined in a geographical fashion by distinguish between an epidemic state, characterized by a spanning cluster formed by the removed nodes and the endemic state, where there is no spanning cluster. We obtained the averaged mean cluster size which plays the role of a susceptibility, and a cumulant ratio defined for percolation to estimate the epidemic threshold. Our numerical results suggest that the system falls into two-dimensional dynamic percolation universality class and the quasiperiodic order is irrelevant, in according to results for classical percolation.
arXiv comment16 pages, 5 figures, 43 cited references
References in corpus (20)
- Epidemic processes in complex networks
- Statistical physics of vaccination
- Saving Human Lives: What Complexity Science and Information Systems can Contribute
- A fast Monte Carlo algorithm for site or bond percolation
- Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
- Non mean-field behavior of the contact process on scale-free networks
- Wilson renormalization of a reaction-diffusion process
- Infinite-randomness critical point in the two-dimensional disordered contact process
- Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field
- On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
- Collective versus hub activation of epidemic phases on networks
- Phase Transitions on Random Lattices: How Random is Topological Disorder?
- Contact process on a Voronoi triangulation
- Diffusive epidemic process: theory and simulation
- Universal scaling behavior of directed percolation and the pair contact process in an external field
- Finite-size scaling of the stochastic susceptible-infected-recovered model
- A violation of the Harris-Barghathi-Vojta criterion
- Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
- Finite-size scaling of directed percolation in the steady state
- Alternative criterion for two-dimensional wrapping percolation