164 citations · 531 across the 14 of their papers we have counts for
14 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…
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 (…
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 ($…
Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid
Andrey Pototsky, Alexander Oron, Michael Bestehorn
A small drop of a heavier fluid may float on the surface of a lighter fluid supported by surface tension forces. In equilibrium, the drop assumes a radially symmetric shape with a…
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…