The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration
Joint Authors
Niu, Hong
Zhao, Lichun
Bai, Fenglan
Zhang, Qing-ling
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-11
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
To keep the resources renewable, a singular ecological-economic model is proposed for the populations with harvesting and migration.
The local stability and the dynamic behavior of the model are studied.
Singular induced bifurcation appears when economic interest is zero, which is different from the ordinary differential models.
In order to apply variable structure control to eliminate these complex behaviors, the singular model is transformed into a single-input and single-output model with parameter varying within definite intervals.
And then, a variable structure controller is designed to make the model stable.
Finally, an inshore-offshore fishery model is given to illustrate the proposed method, and some numerical simulations are shown to demonstrate the control results.
American Psychological Association (APA)
Zhang, Qing-ling& Niu, Hong& Zhao, Lichun& Bai, Fenglan. 2012. The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029066
Modern Language Association (MLA)
Zhang, Qing-ling…[et al.]. The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1029066
American Medical Association (AMA)
Zhang, Qing-ling& Niu, Hong& Zhao, Lichun& Bai, Fenglan. The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029066
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029066