Stochastic compartment model with mortality and its application to epidemic spreading in complex networks

no code implementations • 18 Mar 2024 • Teo Granger, Thomas M. Michelitsch, Michael Bestehorn, Alejandro P. Riascos, Bernard A. Collet

No direct transmission of the disease among walkers (or among nodes) is possible.

A four compartment epidemic model with retarded transition rates

no code implementations • 18 Oct 2022 • Teo Granger, Thomas M. Michelitsch, Michael Bestehorn, Alejandro P. Riascos, Bernard A. Collet

We implement a simple multiple random walker's approach (microscopic model of Brownian motion of Z independent walkers) with random SCIRS waiting times into computer simulations.

A simple model of epidemic dynamics with memory effects

no code implementations • 17 Nov 2021 • Michael Bestehorn, Thomas M. Michelitsch, Bernard A. Collet, Alejandro P. Riascos, Andrzej F. Nowakowski

In the first part, we introduce a random life time or duration of immunity which is drawn from a certain probability density function.

Random Multi-Hopper Model. Super-Fast Random Walks on Graphs

no code implementations • 24 Dec 2016 • Ernesto Estrada, Jean-Charles Delvenne, Naomichi Hatano, José L. Mateos, Ralf Metzler, Alejandro P. Riascos, Michael T. Schaub

Stated differently, for small parameter values the multi-hopper explores a general graph as fast as possible when compared to a random walker on a full graph.

Physics and Society Statistical Mechanics Social and Information Networks Mathematical Physics Mathematical Physics Probability