A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-17
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A dynamic mathematical model of fish algae consumption with an impulsive control strategy is proposed and analyzed in detail.
It is shown that the system has a globally asymptotically stable algae-eradication periodic solution which can be obtained using the Floquet theory of impulsive differential equations and small-amplitude perturbation techniques.
The conditions for the permanence of the system can also be determined.
Numerical results for impulsive perturbations show the rich dynamic behavior of the system.
All these results may be useful in controlling eutrophication.
American Psychological Association (APA)
Yang, Jin& Zhao, Min. 2012. A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028882
Modern Language Association (MLA)
Yang, Jin& Zhao, Min. A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1028882
American Medical Association (AMA)
Yang, Jin& Zhao, Min. A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028882
