31 citations · 432 across the 52 of their papers we have counts for
53 papers
Random walks with stochastic resetting in complex networks: a discrete time approach
Thomas M. Michelitsch, Giuseppe D'Onofrio, Federico Polito +1
We consider a discrete-time Markovian random walk with resets on a connected undirected network. The resets, in which the walker is relocated to randomly chosen nodes, are governed…
Stochastic compartment model with mortality and its application to epidemic spreading in complex networks
Teo Granger, Thomas M. Michelitsch, Michael Bestehorn +2
We study epidemic spreading in complex networks by a multiple random walker approach. Each walker performs an independent simple Markovian random walk on a complex undirected (ergo…
On discrete-time arrival processes and related random motions
Giuseppe D'Onofrio, Thomas M. Michelitsch, Federico Polito +1
We consider three kinds of discrete-time arrival processes: transient, intermediate and recurrent, characterized by a finite, possibly finite and infinite number of events, respect…
Compartment model with retarded transition rates
Teo Granger, Thomas Michelitsch, Bernard Collet +2
Our study is devoted to a four-compartment epidemic model of a constant population of independent random walkers. Each walker is in one of four compartments (S-susceptible, C-infec…
Oscillating behavior of a compartmental model with retarded noisy dynamic infection rate
Michael Bestehorn, Thomas M. Michelitsch
Our study is based on an epidemiological compartmental model, the SIRS model. In the SIRS model, each individual is in one of the states susceptible (S), infected(I) or recovered (…
Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred this random walk to as squirrel random walk (SRW). The SRW is a d…