CSpace
Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy
Liu, B; Teng, ZD; Chen, LS
2006-08-15
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume193Issue:1Pages:347-362
AbstractAccording to biological and chemical control strategy for pest control, we investigate the dynamic behavior of a Holling II functional response predator-prey system concerning impulsive control strategy-periodic releasing natural enemies and spraying pesticide at different fixed times. By using Floquet theorem and small amplitude perturbation method, we prove that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical value. Further, the condition for the permanence of the system is also given. Numerical results show that the system we consider can take on various kinds of periodic fluctuations and several types of attractor coexistence and is dominated by periodic, quasiperiodic and chaotic solutions, which implies that the presence of pulses makes the dynamic behavior more complex. Finally, we conclude that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. (c) 2005 Elsevier B.V. All rights reserved.
KeywordHolling II predator-prey model impulsive control strategy extinction permanence bifurcation
DOI10.1016/j.cam.2005.06.023
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000237824200021
PublisherELSEVIER SCIENCE BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/3366
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiu, B
Affiliation1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China
2.Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Peoples R China
3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Liu, B,Teng, ZD,Chen, LS. Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,193(1):347-362.
APA Liu, B,Teng, ZD,&Chen, LS.(2006).Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,193(1),347-362.
MLA Liu, B,et al."Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 193.1(2006):347-362.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, B]'s Articles
[Teng, ZD]'s Articles
[Chen, LS]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, B]'s Articles
[Teng, ZD]'s Articles
[Chen, LS]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, B]'s Articles
[Teng, ZD]'s Articles
[Chen, LS]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.