2 papers
math.DS2026
Endogenous business cycles via state-dependent saving and noise-induced metastability
Shenglan Yuan, James Brannan, Almaz Abebe +1
We develop a parsimonious stochastic growth model in which state-dependent saving behavior generates endogenous business-cycle-like dynamics. The model consists of three coupled eq…
math.DS2021
Most Probable Dynamics of the Single-Species with Allee Effect under Jump-diffusion Noise
Almaz Tesfay, Shenglan Yuan, Daniel Tesfay +1
We investigate the most probable phase portrait (MPPP) of a stochastic single-species model with the Allee effect using the non-local Fokker-Planck equation. This stochastic model…