Partial permanence and extinction on stochastic Lotka-Volterra competitive systems

Advances in Difference Equations

Yonghui Sun¹  Lei Liu²  Chunwei Dong² 

[1] College of Energy and Electrical Engineering, Hohai University, Nanjing, China;College of Science, Hohai University, Nanjing, China

关键词: Lotka-Volterra model;    random environments;    Brownian motions;    Itô ;    formula;    persistence in mean;    extinction;   

DOI  :  10.1186/s13662-015-0608-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper discusses an autonomous competitive Lotka-Volterra model in random environments. The contributions of this paper are as follows. (a) Some sufficient conditions for partial permanence and extinction on this system are established; (b) By using some novel techniques, the conditions imposed on permanence and extinction of one-species are weakened. Finally, a numerical experiment is conducted to validate the theoretical findings.

【 授权许可】

CC BY