Stochastic Predator-Prey System Subject to Lévy Jumps
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates a new nonautonomous impulsive stochastic predator-prey system with the omnivorous predator.
First, we show that the system has a unique global positive solution for any given initial positive value.
Second, the extinction of the system under some appropriate conditions is explored.
In addition, we obtain the sufficient conditions for almost sure permanence in mean and stochastic permanence of the system by using the theory of impulsive stochastic differential equations.
Finally, we discuss the biological implications of the main results and show that the large noise can make the system go extinct.
Simulations are also carried out to illustrate our theoretical analysis conclusions.
American Psychological Association (APA)
Meng, Xinzhu& Wang, Xiaohong. 2016. Stochastic Predator-Prey System Subject to Lévy Jumps. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103500
Modern Language Association (MLA)
Meng, Xinzhu& Wang, Xiaohong. Stochastic Predator-Prey System Subject to Lévy Jumps. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1103500
American Medical Association (AMA)
Meng, Xinzhu& Wang, Xiaohong. Stochastic Predator-Prey System Subject to Lévy Jumps. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103500