Dynamics Analysis of a Stochastic Leslie–Gower Predator-Prey Model with Feedback Controls
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This study focuses on the investigation of a stochastic Leslie–Gower predator-prey model with feedback controls and Holling type II functional responses.
First, the existence and uniqueness of a global positive solution to the system under white noise interference are proved.
Second, the conditions for the existence of the system’s positive recurrence are established by constructing suitable Lyapunov functions.
Additionally, the persistence and extinction of prey and predator in the system are discussed, and the impacts of noise interference and feedback controls on the system are revealed.
Finally, we validate the theoretical results by numerical simulations.
American Psychological Association (APA)
Ren, Huailan& Zhao, Wencai. 2019. Dynamics Analysis of a Stochastic Leslie–Gower Predator-Prey Model with Feedback Controls. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1197766
Modern Language Association (MLA)
Ren, Huailan& Zhao, Wencai. Dynamics Analysis of a Stochastic Leslie–Gower Predator-Prey Model with Feedback Controls. Mathematical Problems in Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1197766
American Medical Association (AMA)
Ren, Huailan& Zhao, Wencai. Dynamics Analysis of a Stochastic Leslie–Gower Predator-Prey Model with Feedback Controls. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1197766
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197766