no code implementations • 15 Nov 2023 • Immanuel Meyer, Ami Taitelbaum, Michael Assaf, Nadav M. Shnerb
For an isolated population, the time to extinction in this phase exhibits a novel scaling with the abundance, and also a non-monotonic dependence on the spectral exponent.
no code implementations • 25 Aug 2023 • Jason Hindes, Luis Mier-y-Teran-Romero, Ira B. Schwartz, Michael Assaf
Finally, we show that the crossover to the white-noise regime typically occurs for correlation times that are on the same order as the characteristic recovery time in the model.
no code implementations • 19 Dec 2022 • Ami Taitelbaum, Robert West, Mauro Mobilia, Michael Assaf
Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity changing continuously in time according to either binary random switches, or by being driven by a noise of continuous range.
no code implementations • 2 Aug 2021 • Jason Hindes, Michael Assaf, Ira B. Schwartz
Motivated by recent epidemic outbreaks, including those of COVID-19, we solve the canonical problem of calculating the dynamics and likelihood of extensive outbreaks in a population within a large class of stochastic epidemic models with demographic noise, including the Susceptible-Infected-Recovered (SIR) model and its general extensions.
no code implementations • 27 Jan 2021 • Ohad Vilk, Yotam Orchan, Motti Charter, Nadav Ganot, Sivan Toledo, Ran Nathan, Michael Assaf
Quantifying and comparing patterns of dynamical ecological systems require averaging over measurable quantities.
no code implementations • 24 Sep 2019 • Michael Assaf, Shay Be'er, Elijah Roberts
We derive the mathematical theory needed and then use the method on simulated data to reconstruct the landscapes.
