DYNAMICS OF LOGISTIC SYSTEMS DRIVEN BY LEVY NOISE UNDER REGIME SWITCHING

作者：Wu, Ruihua; Zou, Xiaoling^*; Wang, Ke

来源：Electronic Journal of Differential Equations, 2014, 76.

• Logistic equation
• Markov chain
• Levy noise
• extinction
• stochastic permanence

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.

• 出版日期2014-3-19
• 单位哈尔滨工业大学; 中国石油大学（华东）