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Analysis and Control of the Singular System Model of Aphid Ecosystems
Joint Authors
Liu, Bing
Liu, Jingna
Zhang, Tie
Zhao, Lichun
Wei, Xueying
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Considering the change of the parameter related to the natural enemy population and the impact on the aphid populations in the fold catastrophe manifold, the singular system model of aphid ecosystems is proposed.
Combining singular system theory with catastrophe theory, the corresponding dynamics behaviors and the existence conditions of the impasse points are given by using the qualitative analysis.
The biological significance of the analytical results is also discussed.
The controllers are designed to make the aphid populations stabilize the refuge level by releasing natural enemy.
Some numerical simulations are carried out to prove the results.
American Psychological Association (APA)
Liu, Jingna& Zhang, Tie& Zhao, Lichun& Liu, Bing& Wei, Xueying. 2018. Analysis and Control of the Singular System Model of Aphid Ecosystems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206600
Modern Language Association (MLA)
Liu, Jingna…[et al.]. Analysis and Control of the Singular System Model of Aphid Ecosystems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1206600
American Medical Association (AMA)
Liu, Jingna& Zhang, Tie& Zhao, Lichun& Liu, Bing& Wei, Xueying. Analysis and Control of the Singular System Model of Aphid Ecosystems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206600
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206600