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Modeling the Dynamics of a Single-Species Model with Pollution Treatment in a Polluted Environment
Joint Authors
Liu, Bing
Gao, Yinghui
Luan, Shi
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Without any question, environmental pollution is the main cause for the species extinction in recent times.
In this paper, based on impulsive differential equation, the dynamics of a single-species model with impulsive pollution treatment at fixed time in a polluted environment is considered, in which we assume that the species is directly affected by the pollutants.
Sufficient conditions for permanence and extinction of the species are given.
The results show that the species is permanent when the impulsive period is less than some critical value, otherwise the species will be extinct.
Although shortening the impulsive period can protect the species from extinction, it is expensive.
To see how pollution treatment applications could be economical, we also establish a hybrid impulsive model involving periodic pollution treatment at fixed time with state-dependent pollution treatment applied when the pollution concentration reaches the given Environment Threshold (ET).
It indicates that the hybrid method is the most effective method to protect the species from extinction.
Numerical simulations confirm our theoretical results.
American Psychological Association (APA)
Liu, Bing& Luan, Shi& Gao, Yinghui. 2013. Modeling the Dynamics of a Single-Species Model with Pollution Treatment in a Polluted Environment. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-470052
Modern Language Association (MLA)
Liu, Bing…[et al.]. Modeling the Dynamics of a Single-Species Model with Pollution Treatment in a Polluted Environment. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-470052
American Medical Association (AMA)
Liu, Bing& Luan, Shi& Gao, Yinghui. Modeling the Dynamics of a Single-Species Model with Pollution Treatment in a Polluted Environment. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-470052
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470052