Dynamic Behaviors of a Discrete Periodic Predator-Prey-Mutualist System
Joint Authors
Chen, Fengde
Yang, Liya
Xie, Xiangdong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A nonautonomous discrete predator-prey-mutualist system is proposed and studied in this paper.
Sufficient conditions which ensure the permanence and existence of a unique globally stable periodic solution are obtained.
We also investigate the extinction property of the predator species; our results indicate that if the cooperative effect between the prey and mutualist species is large enough, then the predator species will be driven to extinction due to the lack of enough food.
Two examples together with numerical simulations show the feasibility of the main results.
American Psychological Association (APA)
Yang, Liya& Xie, Xiangdong& Chen, Fengde. 2015. Dynamic Behaviors of a Discrete Periodic Predator-Prey-Mutualist System. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060430
Modern Language Association (MLA)
Yang, Liya…[et al.]. Dynamic Behaviors of a Discrete Periodic Predator-Prey-Mutualist System. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1060430
American Medical Association (AMA)
Yang, Liya& Xie, Xiangdong& Chen, Fengde. Dynamic Behaviors of a Discrete Periodic Predator-Prey-Mutualist System. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060430
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060430
