Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A single species stage-structured model incorporating both toxicant and harvesting is proposed and studied.
It is shown that toxicant has no influence on the persistent property of the system.
The existence of the bionomic equilibrium is also studied.
After that, we consider the system with variable harvest effect; sufficient conditions are obtained for the global stability of bionomic equilibrium by constructing a suitable Lyapunov function.
The optimal policy is also investigated by using Pontryagin's maximal principle.
Some numeric simulations are carried out to illustrate the feasibility of the main results.
We end this paper by a brief discussion.
American Psychological Association (APA)
Wu, Huiling& Chen, Fengde. 2010. Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-460718
Modern Language Association (MLA)
Wu, Huiling& Chen, Fengde. Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-460718
American Medical Association (AMA)
Wu, Huiling& Chen, Fengde. Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity. Discrete Dynamics in Nature and Society. 2010. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-460718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460718
