Periodic Solution of a Neutral Delay Leslie Predator-Prey Model and the Effect of Random Perturbation on the Smith Growth Model
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-14
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper puts forward a class of ratio-dependent Leslie predator-prey models.
Firstly, a neutral delay predator-prey model with ratio dependence and impulse control is established and the existence of positive periodic solutions is proved by the coincidence degree theory.
Secondly, a stochastic disturbance Leslie model of Smith growth is obtained when the interference of white noise is taken into consideration and the impact of delay is ignored.
Applying Ito^’s formula, we get the conditions of system persistence and extinction.
Finally we verify the correctness of theoretical analysis with numerical simulations.
American Psychological Association (APA)
Li, Tongtong& Zhao, Wencai. 2020. Periodic Solution of a Neutral Delay Leslie Predator-Prey Model and the Effect of Random Perturbation on the Smith Growth Model. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1144336
Modern Language Association (MLA)
Li, Tongtong& Zhao, Wencai. Periodic Solution of a Neutral Delay Leslie Predator-Prey Model and the Effect of Random Perturbation on the Smith Growth Model. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1144336
American Medical Association (AMA)
Li, Tongtong& Zhao, Wencai. Periodic Solution of a Neutral Delay Leslie Predator-Prey Model and the Effect of Random Perturbation on the Smith Growth Model. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1144336
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144336