Asymptotic behavior of a stochastic nonautonomous Lotka-Volterra competitive system with impulsive perturbations

作者：Liu Meng^*; Wang Ke

来源：Mathematical and Computer Modelling, 2013, 57(3-4): 909-925.

DOI：10.1016/j.mcm.2012.09.019

• Competitive system
• Stochastic perturbations
• Impulsive effects
• Stochastic permanence
• Global attractivity

This paper is concerned with an n-species stochastic nonautonomous Lotka-Volterra competitive system with impulsive effects. Some dynamical properties are investigated and the sufficient conditions for stochastic permanence, extinction and global stability are established. Moreover, the lower-growth rate and the upper-growth rate of the positive solution are studied. In addition, the limit of the average in time of the sample paths of solutions is estimated.

• 出版日期2013-2
• 单位哈尔滨工业大学; 淮阴师范学院