93 citations · 324 across the 17 of their papers we have counts for
17 papers
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…
A four compartment epidemic model with retarded transition rates
Teo Granger, Thomas M. Michelitsch, Michael Bestehorn +2
We study an epidemic model for a constant population by taking into account four compartments of the individuals characterizing their states of health. Each individual is in one of…
A simple model of epidemic dynamics with memory effects
Michael Bestehorn, Thomas M. Michelitsch, Bernard A. Collet +2
We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible ($…
A markovian random walk model of epidemic spreading
Michael Bestehorn, Alejandro P. Riascos, Thomas M. Michelitsch +1
We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently t…
Generalized space-time fractional dynamics in networks and lattices
Thomas M. Michelitsch, Alejandro Perez Riascos, Bernard Collet +2
We analyze generalized space-time fractional motions on undirected networks and lattices. The continuous-time random walk (CTRW) approach of Montroll and Weiss is employed to subor…
On recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We analyze a random walk strategy on undirected regular networks involving power matrix functions of the type where indicates a `simple' Laplacian matrix. We re…