期刊论文详细信息
Advances in Difference Equations | |
Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching | |
Xiuli He1  Lei Liu1  Quanxin Zhu2  | |
[1] College of Science, Hohai University, Nanjing, China;School of Mathematics, Southeast University, Nanjing, China | |
关键词: Lotka-Volterra model; random environments; Brownian motions; Itô formula; persistence in mean; extinction; | |
DOI : 10.1186/s13662-017-1440-7 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We are interested in the persistence in mean and extinction for a stochastic competitive Gilpin-Ayala system with regime switching. Based on the stochastic LaSalle theorem and the space-decomposition method, we derive generalized sufficient criteria on persistence in mean and extinction. By constructing a novel Lyapunov function we establish sufficient criteria on partial persistence in mean and partial extinction for the system. Finally, we provide two examples to demonstrate the feasibility and validity of our proposed methods.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904028844757ZK.pdf | 1878KB | download |