activity
20092024
most citedA markovian random walk model of epidemic spreading

31 citations · 432 across the 52 of their papers we have counts for

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5 papers · 1 filter

q-bio.PE2024

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…

q-bio.PE2023

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…

q-bio.PE2023★ 1 cited

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 (…

q-bio.PE2022★ 14 cited

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…

q-bio.PE2021★ 28 cited

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 ($…