Stochastic Periodic Solution and Persistence of a Nonautonomous Impulsive System with Nonlinear Self-Interaction
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-10
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Considering periodic environmental changes and random disturbance, we explore the dynamical behaviors of a stochastic competitive system with impulsive and periodic parameters in this paper.
Firstly, by use of extreme-value theory of quadratic function and constructing suitable functional, we study the existence of periodic Markovian process.
Secondly, by comparison theory of the stochastic differential equation, we study the extinction and permanence in the mean of all species.
Thirdly, applying an important lemma, we investigate the stochastic persistence of this system.
Finally, some numerical simulations are given to illustrate the main results.
American Psychological Association (APA)
Kong, Weili& Shao, Yuanfu. 2020. Stochastic Periodic Solution and Persistence of a Nonautonomous Impulsive System with Nonlinear Self-Interaction. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1152783
Modern Language Association (MLA)
Kong, Weili& Shao, Yuanfu. Stochastic Periodic Solution and Persistence of a Nonautonomous Impulsive System with Nonlinear Self-Interaction. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1152783
American Medical Association (AMA)
Kong, Weili& Shao, Yuanfu. Stochastic Periodic Solution and Persistence of a Nonautonomous Impulsive System with Nonlinear Self-Interaction. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1152783
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152783