Details

Autor(en) / Beteiligte

• Ruihua Wu
• Xiaoling Zou
• Ke Wang

Titel

Dynamics of logistic systems driven by Levy noise under regime switching

Ist Teil von

• Electronic journal of differential equations, 2014-03, Vol.2014 (76), p.1-16

Ort / Verlag

Texas State University

Erscheinungsjahr

2014

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• This article concerns the stochastic logistic models under regime switching with Levy noise. In the model, the color noise and Levy noise are taken into account at the same time. This model is new and more feasible and more accordance with the actual. Some dynamical behaviors are investigated and sufficient conditions for stochastic permanence, extinction, non-persistence in the mean and weak persistence are established. The critical value among the extinction, non-persistence in the mean and weak persistence is obtained. Our results demonstrate that the asymptotic properties of the model have close relations with the Levy noise and stationary distribution of the color noise.