Article ID Journal Published Year Pages File Type
758891 Communications in Nonlinear Science and Numerical Simulation 2014 8 Pages PDF
Abstract

In this paper, we consider the persistence and extinction of a stochastic non-autonomous Gilpin–Ayala system driven by Lévy noise. Sufficient criteria for extinction, non-persistence in the mean and weak persistence of the system are established. The threshold between weak persistence and extinction is obtained. From the results we can see that both persistence and extinction have close relationships with Lévy noise. Some simulation figures are introduced to demonstrate the analytical findings.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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