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Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
By using pollution model and impulsive delay differential equation, we formulate a pest control model with stage structure for natural enemy in a polluted environment by introducing a constant periodic pollutant input and killing pest at different fixed moments and investigate the dynamics of such a system.
We assume only that the natural enemies are affected by pollution, and we choose the method to kill the pest without harming natural enemies.
Sufficient conditions for global attractivity of the natural enemy-extinction periodic solution and permanence of the system are obtained.
Numerical simulations are presented to confirm our theoretical results.
American Psychological Association (APA)
Liu, Bing& Xu, Ling& Kang, Baolin. 2013. Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-489802
Modern Language Association (MLA)
Liu, Bing…[et al.]. Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-489802
American Medical Association (AMA)
Liu, Bing& Xu, Ling& Kang, Baolin. Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-489802
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489802