Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Michelitsch, Thomas"'
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 by an independent discrete-time renewal process. Some nodes of the ne
Externí odkaz:
http://arxiv.org/abs/2409.08394
Autor:
Granger, Teo, Michelitsch, Thomas M., Bestehorn, Michael, Riascos, Alejandro P., Collet, Bernard A.
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 (ergodic) random graph where we focus on Barab\'asi-Albert (BA), Erd\"os-R\
Externí odkaz:
http://arxiv.org/abs/2403.11774
We consider three kinds of discrete-time arrival processes: transient, intermediate and recurrent, characterized by a finite, possibly finite and infinite number of events, respectively. In this context, we study renewal processes which are stopped a
Externí odkaz:
http://arxiv.org/abs/2403.06821
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-infected but not infectious (period of incubation), I-infected and infectio
Externí odkaz:
http://arxiv.org/abs/2308.14495
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 (R), depending on its state of health. In compartment R, an individual
Externí odkaz:
http://arxiv.org/abs/2301.12437
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 discrete-time random walk on the one-dimensional infinite lattice where
Externí odkaz:
http://arxiv.org/abs/2211.14025
Autor:
Granger, Teo, Michelitsch, Thomas M., Bestehorn, Michael, Riascos, Alejandro P., Collet, Bernard A.
Publikováno v:
Physical Review E 107, 044207 (2023)
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 the compartments susceptible (S); incubated - infected yet not infect
Externí odkaz:
http://arxiv.org/abs/2210.09912
We consider a class of discrete-time random walks with directed unit steps on the integer line. The direction of the steps is reversed at the time instants of events in a discrete-time renewal process and is maintained at uneventful time instants. Th
Externí odkaz:
http://arxiv.org/abs/2206.14694
Autor:
Bestehorn, Michael, Michelitsch, Thomas M., Collet, Bernard A., Riascos, Alejandro P., Nowakowski, Andrzej F.
Publikováno v:
Phys. Rev. E 105, 024205 (2022)
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 (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In the state
Externí odkaz:
http://arxiv.org/abs/2111.08950