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Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate the existence of periodic solutions for a predator-prey system with Holling function response and mutual interference.
Our model is more general than others since it has both Holling type IV function and impulsive effects.
With some new analytical tricks and the continuation theorem in coincidence degree theory proposed by Gaines and Mawhin, we obtain a set of sufficient conditions on the existence of positive periodic solutions for such a system.
In addition, in the remark, we point out some minor errors which appeared in the proof of theorems in some published papers with relevant predator-prey models.
An example is given to illustrate our results.
American Psychological Association (APA)
Liu, Haidong& Meng, Fanwei. 2015. Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060380
Modern Language Association (MLA)
Liu, Haidong& Meng, Fanwei. Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060380
American Medical Association (AMA)
Liu, Haidong& Meng, Fanwei. Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060380
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060380