33 citations · 59 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping
Jinqiao Duan, James R. Brannan, H. Gao
We investigate the nonlocal behavior of passive tracer dispersion with random stopping at various sites in fluids. This kind of dispersion processes is modeled by an integral parti…
Escape Probability, Mean Residence Time and Geophysical Fluid Particle Dynamics
Jinqiao Duan, James R. Brannan, Vincent J. Ervin
Stochastic dynamical systems arise as models for fluid particle motion in geophysical flows with random velocity fields. Escape probability (from a fluid domain) and mean residence…
Dissipative Quasigeostrophic Dynamics under Random Forcing
James R. Brannan, Jinqiao Duan, Thomas Wanner
The quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with di…