Dynamics of a stochastic Gilpin–Ayala population model with Markovian switching and impulsive perturbations

Dynamics of a stochastic Gilpin–Ayala population model with Markovian switching and impulsive perturbations

Abstract In this paper, we consider the dynamics of a stochastic Gilpin–Ayala model with regime switching and impulsive perturbations. The Gilpin–Ayala parameter is also allowed to switch. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, and stochastic permanence a...

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Bibliographic Details
Main Authors: Yuan Jiang, Zijian Liu, Jin Yang, Yuanshun Tan
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Advances in Difference Equations
Subjects:
Gilpin–Ayala model
Markovian switching
Impulsive perturbations
Persistence
Online Access:http://link.springer.com/article/10.1186/s13662-020-02900-w

Internet

http://link.springer.com/article/10.1186/s13662-020-02900-w

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