Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching

Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching

Abstract 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...

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Bibliographic Details
Main Authors: Xiuli He, Lei Liu, Quanxin Zhu
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Advances in Difference Equations
Subjects:
Lotka-Volterra model
random environments
Brownian motions
Itô formula
persistence in mean
extinction
Online Access:http://link.springer.com/article/10.1186/s13662-017-1440-7

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http://link.springer.com/article/10.1186/s13662-017-1440-7

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