Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments.
Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results.
Furthermore, the permanence of system is also derived.
By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results.
American Psychological Association (APA)
Yang, Jiangtao& Yang, Zhichun. 2013. Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-501774
Modern Language Association (MLA)
Yang, Jiangtao& Yang, Zhichun. Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-501774
American Medical Association (AMA)
Yang, Jiangtao& Yang, Zhichun. Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-501774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501774