28 citations · 104 across the 13 of their papers we have counts for
13 papers
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 ($…
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…
Finite-time stability for differential inclusions with applications to neural networks
Radosław Matusik, Andrzej Nowakowski, Sławomir Plaskacz +1
The paper investigates sufficient conditions on a differential inclusion which guarantee that the origin is a finite time stable equilibrium, namely a weak local one, a weak global…
Passage of a shock wave through inhomogeneous media and its impact on a gas bubble deformation
A. F. Nowakowski, A. Ballil, F. C. G. A Nicolleau
The paper investigates shock-induced vortical flows within inhomogeneous media of nonuniform thermodynamic properties. Numerical simulations are performed using an Eularian type ma…
Effect of gravity on clustering patterns and inertial particle attractors in Kinematic Simulation
M. Farhan, F. C. G. A. Nicolleau, A. F. Nowakowski
In this paper, we study the clustering of inertial particles using a periodic kinematic simulation. The systematic Lagrangian tracking of particles makes it possible to identify th…
Effect of energy spectrum law on clustering patterns for inertial particles subjected to gravity in Kinematic Simulation
F. C. G. A. Nicolleau, M. Farhan, A. F. Nowakowski
We study the clustering of inertial particles using a periodic kinematic simulation. Particles clustering is observed for different pairs of Stokes number and Froude number and dif…