4 citations · 6 across the 6 of their papers we have counts for
15 papers
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…
Direct proof of unconditional asymptotic consensus in the Hegselmann-Krause model with transmission-type delay
Jan Haskovec
We present a direct proof of asymptotic consensus in the nonlinear Hegselmann-Krause model with transmission-type delay, where the communication weights depend on the particle dist…
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with renormalization and delay
Jan Haskovec
We present a simple proof of asymptotic consensus in the discrete Hegselmann-Krause model and flocking in the discrete Cucker-Smale model with renormalization and variable delay. I…
Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays
Jan Haskovec, Ioannis Markou
We study a variant of the Cucker-Smale system with distributed reaction delays. Using backward-forward and stability estimates on the quadratic velocity fluctuations we derive suff…
Exponential decay for negative feedback loop with distributed delay
Jan Haskovec
We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponentia…