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The Modelling and Control of a Singular Biological Economic System in a Polluted Environment
Joint Authors
Zhang, Yi
Jie, Yueming
Meng, Xinyou
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A singular biological economic model with harvesting and stage structure is presented.
The local stability of equilibriums of the system is investigated when the economic profit parameter is zero, and the conditions of the singularity induced bifurcation occurring at the positive equilibrium are obtained by the singular systems theory and bifurcation theory.
In order to eliminate the singularity induced bifurcation, a state feedback controller is designed by controlling the fishing effort.
At last, an application example is given to illustrate the validity of the theoretical results.
American Psychological Association (APA)
Zhang, Yi& Jie, Yueming& Meng, Xinyou. 2016. The Modelling and Control of a Singular Biological Economic System in a Polluted Environment. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1103426
Modern Language Association (MLA)
Zhang, Yi…[et al.]. The Modelling and Control of a Singular Biological Economic System in a Polluted Environment. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1103426
American Medical Association (AMA)
Zhang, Yi& Jie, Yueming& Meng, Xinyou. The Modelling and Control of a Singular Biological Economic System in a Polluted Environment. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1103426
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103426