Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses
Joint Authors
Luo, Zhenguo
Zeng, Yunhui
Luo, Liping
Yang, Liu
Gao, Zhenghui
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
An impulsive Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments and time delays is investigated, where we assume the model of patches with a barrier only as far as the prey population is concerned, whereas the predator population has no barriers between patches.
By applying the continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are obtained to guarantee the existence, uniqueness, and global stability of positive periodic solutions of the system.
Some known results subject to the underlying systems without impulses are improved and generalized.
As an application, we also give two examples to illustrate the feasibility of our main results.
American Psychological Association (APA)
Luo, Zhenguo& Luo, Liping& Yang, Liu& Gao, Zhenghui& Zeng, Yunhui. 2014. Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-483434
Modern Language Association (MLA)
Luo, Zhenguo…[et al.]. Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses. Journal of Applied Mathematics No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-483434
American Medical Association (AMA)
Luo, Zhenguo& Luo, Liping& Yang, Liu& Gao, Zhenghui& Zeng, Yunhui. Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-483434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483434