Critical behavior of the diffusive susceptible-infected-recovered model
arXiv:2208.12038 · doi:10.1103/PhysRevE.107.014303
Abstract
The critical behavior of the non-diffusive susceptible-infected-recovered model on lattices had been well established in virtue of its duality symmetry. By performing simulations and scaling analyses for the diffusive variant on the two-dimensional lattice, we show that diffusion for all agents, while rendering this symmetry destroyed, constitutes a singular perturbation that induces asymptotically distinct dynamical and stationary critical behavior from the non-diffusive model. In particular, the manifested crossover behavior in the effective mean-square radius exponents reveals that slow crossover behavior in general diffusive multi-species reaction systems may be ascribed to the interference of multiple length scales and timescales at early times.
9 pages, 4 figures
References in corpus (10)
- Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
- On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
- The non-equilibrium phase transition of the pair-contact process with diffusion
- Population oscillations in spatial stochastic Lotka-Volterra models: A field-theoretic perturbational analysis
- Vaccination against rubella: Analysis of the temporal evolution of the age-dependent force of infection and the effects of different contact patterns
- Spreading with immunization in high dimensions
- Finite-size scaling of the stochastic susceptible-infected-recovered model
- Non-universal power-law dynamics of SIR models on hierarchical modular networks
- Subdiffusive Activity Spreading in the Diffusive Epidemic Process
- A non-absorbing SIR stochastic lattice gas model on hybrid lattices