8 papers
Lattice Brownian bees with cooperative reproduction: steady states, collapse, and spreading
Ohad Vilk, Baruch Meerson
We extend the ``Brownian bees'' model of Berestycki et al. (2021, 2022) to cooperative reproduction, , of a population of symmetric random walkers with removal,…
Macroscopic localization and collective memory in Poisson renewal resetting
Ohad Vilk
Stochastic renewal processes are ubiquitous across physics, biology, and the social sciences. Here, we show that continuous-time renewal dynamics can naturally produce a mixed disc…
Emergent population dynamics of random walkers with cooperative reproduction and spatial selection
Ohad Vilk, Baruch Meerson
We extend the branching Brownian motions model of population invasion to higher-order asexual reproduction. Increasing reproduction order leads to qualitative changes: invasion…
Age-structured hydrodynamics of ensembles of anomalously diffusing particles with renewal resetting
Baruch Meerson, Ohad Vilk
We develop an age-structured hydrodynamic (HD) theory which describes the collective behavior of anomalously diffusing particles under stochastic renewal resetting. The th…
Collective behavior of independent scaled Brownian particles with renewal resetting
Ohad Vilk, Baruch Meerson
We study fluctuations of an ensemble of independent particles undergoing anomalous diffusion with random renewal resetting. The anomalous diffusion is modeled by the scaled Bro…
Strong anomalous diffusion for free-ranging birds
Ohad Vilk, Motti Charter, Sivan Toledo +2
Diffusion and anomalous diffusion are widely observed and used to study movement across organisms, resulting in extensive use of the mean and mean-squared displacement (MSD). Howev…