Article ID Journal Published Year Pages File Type
8055277 Nonlinear Analysis: Hybrid Systems 2018 15 Pages PDF
Abstract
Taking white noises, Markovian switching and Lévy jumps into account, an n−species Lotka-Volterra competitive model with random perturbations is proposed and studied. Sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the model are established. These sufficient conditions are sharp in some cases. Some interesting results are revealed: the white noises and Lévy jumps could make the stationary distribution disappear as well as appear; the Markovian switching could make the stationary distribution appear. Some numerical simulations are also introduced to illustrate the main results.
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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