Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model
Joint Authors
Cheng, Huidong
Wang, Fang
Zhang, Tongqian
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-18
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
According to the integrated pest management strategies, a Holling type I functional response predator-prey system concerning state-dependent impulsive control is investigated.
By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution, and the attractivity of the order one periodic solution by sequence convergence rules and qualitative analysis.
Numerical simulations are carried out to illustrate the feasibility of our main results which show that our method used in this paper is more efficient than the existing ones for proving the existence and attractiveness of order one periodic solution.
American Psychological Association (APA)
Cheng, Huidong& Zhang, Tongqian& Wang, Fang. 2012. Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-447669
Modern Language Association (MLA)
Cheng, Huidong…[et al.]. Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-447669
American Medical Association (AMA)
Cheng, Huidong& Zhang, Tongqian& Wang, Fang. Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-447669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447669