Simple quasistationary method for simulations of epidemic processes with localized states

Stein's Method for Epidemic Processes

A General Stochastic Epidemic with non-Markovian transition behaviour is considered. At time t = 0, the population of total size K consists of aK individuals that are infected by a certain disease (and infectious); the remaining bK individuals are susceptible with respect to that disease. An initially susceptible individual i, when infected (call A K i its time of infection), stays infectious f...

Quasistationary Distributions for Level-dependent Quasi-birth-and-death Processes

Conditions for predicting quasistationary states by rearrangement formula.

Predicting the long-lasting quasistationary state for a given initial state is one of central issues in Hamiltonian systems having long-range interaction. A recently proposed method is based on the Vlasov description and uniformly redistributes the initial distribution along contours of the asymptotic effective Hamiltonian, which is defined by the obtained quasistationary state and is determine...

Epidemic processes with immunization.

We study a model of directed percolation (DP) with immunization, i.e., with different probabilities for the first infection and subsequent infections. The immunization effect leads to an additional non-Markovian term in the corresponding field theoretical action. We consider immunization as a small perturbation around the DP fixed point in d<6, where the non-Markovian term is relevant. The immu...

Quasistationary simulations of the contact process on quenched networks.

We present high-accuracy quasistationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs. The critical behavior is analyzed in the framework of the anomalous finite-size scaling which was recently shown to hold for the contact process on annealed networks. It turns out that the quenched topology does not ...