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Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses
Joint Authors
Zhang, Long
Teng, Zhidong
Li, Hongli
Jiang, Yaolin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A class of Holling type II predator-prey systems with mutual interference and impulses is presented.
Sufficient conditions for the permanence, extinction, and global attractivity of system are obtained.
The existence and uniqueness of positive periodic solution are also established.
Numerical simulations are carried out to illustrate the theoretical results.
Meanwhile, they indicate that dynamics of species are very sensitive with the period matching between species’ intrinsic disciplinarians and the perturbations from the variable environment.
If the periods between individual growth and impulse perturbations match well, then the dynamics of species periodically change.
If they mismatch each other, the dynamics differ from period to period until there is chaos.
American Psychological Association (APA)
Li, Hongli& Zhang, Long& Teng, Zhidong& Jiang, Yaolin. 2014. Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-498607
Modern Language Association (MLA)
Li, Hongli…[et al.]. Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-498607
American Medical Association (AMA)
Li, Hongli& Zhang, Long& Teng, Zhidong& Jiang, Yaolin. Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-498607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498607