Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Assaf, Michael"'
Waiting times between successive events play an important role in population dynamics and can vary widely, notably due to environmental conditions. In this work, we focus on the zero-sum rock-paper-scissors (zRPS) model, broadly used to describe cycl
Externí odkaz:
http://arxiv.org/abs/2409.14581
The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While typically reliable methods, such as the Gillespie algorithm, are employe
Externí odkaz:
http://arxiv.org/abs/2406.03084
Autor:
Vilk, Ohad, Assaf, Michael
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-exponential distribution of waiting times, mimicking long-term memory. We foc
Externí odkaz:
http://arxiv.org/abs/2404.03481
Publikováno v:
Phys. Rev. Research, 6, L012023, 2024
We resolve a long standing question regarding the suitable effective diffusion coefficient of the spherically-symmetric transport equation, which is valid at long times. To that end, we generalize a transport solution in three dimensions for homogene
Externí odkaz:
http://arxiv.org/abs/2401.01726
Temporal environmental noise (EN) is a prevalent natural phenomenon that controls population and community dynamics, shaping the destiny of biological species and genetic types. Conventional theoretical models often depict EN as a Markovian process w
Externí odkaz:
http://arxiv.org/abs/2311.08825
We study the effect of noisy infection (contact) and recovery rates on the distribution of outbreak sizes in the stochastic SIR model. The rates are modeled as Ornstein-Uhlenbeck processes with finite correlation time and variance, which we illustrat
Externí odkaz:
http://arxiv.org/abs/2308.13439
Environments such as shopping malls, airports, or hospital emergency departments often experience crowding, with many people simultaneously requesting service. Crowding is highly noisy, with sudden overcrowding "spikes". Past research has either focu
Externí odkaz:
http://arxiv.org/abs/2308.06540
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 models, we find two distinct scaling regimes separated by an exponential
Externí odkaz:
http://arxiv.org/abs/2308.06538
Autor:
Leibenzon, Alexander, Assaf, Michael
We study the SIR model of epidemics on positively correlated heterogeneous networks with population variability, and explore the dependence of the final outbreak size on the network heterogeneity strength and basic reproduction number $R_0$ -- the ra
Externí odkaz:
http://arxiv.org/abs/2306.09024
Publikováno v:
Phys. Rev. Research 5, L022004:1-7 (2023)
Environmental variations can significantly influence how populations compete for resources, and hence shape their evolution. Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity changing conti
Externí odkaz:
http://arxiv.org/abs/2212.09906