Incorporating two coupling noises into a nonlinear competitive system with saturation effect

• 作者: Jing Hu Zhijun Liu
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Randomized competitive model white noise coupling stochastic permanence→extinction asymptotic pathwise estimation
• 年，卷（期）: 2020,（2）
• 页码范围: 75-101
• 页数: 27页
• 分类号: O17

摘要

In this paper,a novel stochastic two-species competitive system with saturation effect is formulated,in which there exist two noise resources and their coupling mode is relatively complex and every noise source has elfect on the intrinsic growth rates of both species.With the help of some suitable Lyapunov functions,sufficient conditions for stochastic permanence are established as exponential extinction,extinction,permanence in time average and asymptotic pathwise estimation of system.The effect of coupling noise on the asymptotic behaviors of the populations is shown.