Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102354 | Physica A: Statistical Mechanics and its Applications | 2018 | 9 Pages |
Abstract
We consider the Truscott-Brindley system of interacting phyto- and zooplankton populations with a weak Allee effect. We add a random noise to the parameter of the prey carrying capacity, and study how the noise affects the dynamic behavior of this nonlinear prey-predator model. Phenomena of the stochastic excitement and noise-induced shifts in zones of the Andronov-Hopf bifurcation and Canard explosion are analyzed on the base of the direct numerical simulation and stochastic sensitivity functions technique. A relationship of these phenomena with transitions between order and chaos is discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Irina Bashkirtseva, Lev Ryashko,