Extinction and Persistence in Mean of a Novel Delay Impulsive Stochastic Infected Predator-Prey System with Jumps
Joint Authors
Wang, Xiaohong
Liu, Guodong
Gao, Shujing
Meng, Xinzhu
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we explore an impulsive stochastic infected predator-prey system with Lévy jumps and delays.
The main aim of this paper is to investigate the effects of time delays and impulse stochastic interference on dynamics of the predator-prey model.
First, we prove some properties of the subsystem of the system.
Second, in view of comparison theorem and limit superior theory, we obtain the sufficient conditions for the extinction of this system.
Furthermore, persistence in mean of the system is also investigated by using the theory of impulsive stochastic differential equations (ISDE) and delay differential equations (DDE).
Finally, we carry out some simulations to verify our main results and explain the biological implications.
American Psychological Association (APA)
Liu, Guodong& Wang, Xiaohong& Meng, Xinzhu& Gao, Shujing. 2017. Extinction and Persistence in Mean of a Novel Delay Impulsive Stochastic Infected Predator-Prey System with Jumps. Complexity،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142606
Modern Language Association (MLA)
Liu, Guodong…[et al.]. Extinction and Persistence in Mean of a Novel Delay Impulsive Stochastic Infected Predator-Prey System with Jumps. Complexity No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1142606
American Medical Association (AMA)
Liu, Guodong& Wang, Xiaohong& Meng, Xinzhu& Gao, Shujing. Extinction and Persistence in Mean of a Novel Delay Impulsive Stochastic Infected Predator-Prey System with Jumps. Complexity. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142606