33 citations · 56 across the 9 of their papers we have counts for
9 papers
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…
Stochastic bifurcation in economic growth model driven by Lévy noise
Almaz Abebe, Shenglan Yuanb, Daniel Tesfay +1
This paper enhances the classical Solow model of economic growth by integrating Lévy noise, a type of non-Gaussian stochastic perturbation, to capture the inherent uncertainties in…
Dynamic Systems Framework for Modeling COVID-19 with Lévy Noise
Daniel Tesfay, Almaz Tesfay, James Brannan
Natural fluctuations have played a crucial role in affecting the dynamics of pervasive diseases such as the coronavirus. Examining the effects of irregular unsettling disturbances…
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…
Dynamics of a Stochastic COVID-19 Epidemic Model with Jump-Diffusion
Almaz Tesfay, Tareq Saeed, Anwar Zeb +3
For a stochastic COVID-19 model with jump-diffusion, we prove the existence and uniqueness of the global positive solution. We also investigate some conditions for the extinction a…
Stochastic Bifurcation in Single-Species Model Induced by α-Stable Levy Noise
Almaz Tesfay, Daniel Tesfay, Shenglan Yuan +2
Bifurcation analysis has many applications in different scientific fields, such as electronics, biology, ecology, and economics. In population biology, deterministic methods of bif…