33 citations · 70 across the 18 of their papers we have counts for
18 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,…
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…
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…
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…
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…
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…
Non-Markovian Rock-Paper-Scissors games
Ohad Vilk, Mauro Mobilia, Michael Assaf
There is mounting evidence that species interactions often involve long-term memory, with highly-varying waiting times between successive events and long-range temporal correlation…
Efficient weighted-ensemble network simulations of the SIS model of epidemics
Elad Korngut, Ohad Vilk, Michael Assaf
The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While ty…
Escape from a metastable state in non-Markovian population dynamics
Ohad Vilk, Michael Assaf
We study the long-time dynamics in non-Markovian single-population stochastic models, where one or more reactions are modelled as a stochastic process with a fat-tailed non-exponen…
Non-Markovian gene expression
Ohad Vilk, Ralf Metzler, Michael Assaf
We study two non-Markovian gene-expression models in which protein production is a stochastic process with a fat-tailed non-exponential waiting time distribution (WTD). For both mo…
Competition in a system of Brownian particles: Encouraging achievers
P. L. Krapivsky, Ohad Vilk, Baruch Meerson
We introduce and study analytically and numerically a simple model of inter-agent competition, where underachievement is strongly discouraged. We consider particles perfor…
Fluctuations and first-passage properties of systems of Brownian particles with reset
Ohad Vilk, Michael Assaf, Baruch Meerson
We study stationary fluctuations in two models involving Brownian particles undergoing stochastic resetting to the origin in 1d. We start with the basic reset model where the p…
Classification of anomalous diffusion in animal movement data using power spectral analysis
Ohad Vilk, Erez Aghion, Ran Nathan +3
The field of movement ecology has seen a rapid increase in high-resolution data in recent years, leading to the development of numerous statistical and numerical methods to analyse…
Phase transition in non-Markovian animal exploration model with preferential returns
Ohad Vilk, Daniel Campos, Vicenç Méndez +3
We study a non-Markovian and nonstationary model of animal mobility incorporating both exploration and memory in the form of preferential returns. We derive exact results for the p…
Unravelling the origins of anomalous diffusion: from molecules to migrating storks
Ohad Vilk, Erez Aghion, Tal Avgar +10
Anomalous diffusion or, more generally, anomalous transport, with nonlinear dependence of the mean-squared displacement on the measurement time, is ubiquitous in nature. It has bee…
Ergodicity breaking in area-restricted search of avian predators
Ohad Vilk, Yotam Orchan, Motti Charter +4
Quantifying and comparing patterns of dynamical ecological systems require averaging over measurable quantities. For example, to infer variation in movement and behavior, metrics s…
Extinction risk of a Metapopulation under the Allee Effect
Ohad Vilk, Michael Assaf
We study the extinction risk of a fragmented population residing on a network of patches coupled by migration, where the local patch dynamics include the Allee effect. We show that…
Population Extinction under Bursty Reproduction in a Time Modulated Environment
Ohad Vilk, Michael Assaf
In recent years non-demographic variability has been shown to greatly affect dynamics of stochastic populations. For example, non-demographic noise in the form of a bursty reproduc…