10 citations · 26 across the 12 of their papers we have counts for
4 papers · 1 filter
Cucker-Smale model with finite speed of information propagation: well-posedness, flocking and mean-field limit
Jan Haskovec
We study a variant of the Cucker-Smale model where information between agents propagates with a finite speed . This leads to a system of functional differential equ…
Tensor PDE model of biological network formation
Jan Haskovec, Peter Markowich, Giulia Pilli
We study an elliptic-parabolic system of partial differential equations describing formation of biological network structures. The model takes into consideration the evolution of t…
Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights
Jan Haskovec
We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with non-symmetric interaction weights. The cond…
Asymptotic behavior of the linear consensus model with delay and anticipation
Jan Haskovec
We study asymptotic behavior of solutions of the first-order linear consensus model with delay and anticipation, which is a system of neutral delay differential equations. We consi…