Dynamics of a Leslie-Gower Holling-type II predator-prey system with Levy jumps

作者：Liu, Meng^*; Wang, Ke

来源：Nonlinear Analysis-Theory Methods & Applications, 2013, 85: 204-213.

DOI：10.1016/j.na.2013.02.018

• Predator-prey model
• Levy noise
• Stability in mean
• Extinction

This paper is concerned with a stochastic predator prey system with modified Leslie Gower and Hailing-type II schemes with Levy jumps. First, we prove there is a unique positive solution to the system with a positive initial value. Then we establish the sufficient conditions for stability in mean and extinction of the system. Finally, we introduce some numerical simulations to support the main results. The results shows that the Levy jumps can change the properties of the population systems significantly.

• 出版日期2013-7
• 单位淮阴师范学院; 哈尔滨工业大学