Dynamic Behaviors of a Discrete Two Species Predator-Prey System Incorporating Harvesting
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A discrete two species predator-prey captured system is studied.
Firstly, a sufficient condition of a positive equilibrium point for this system is obtained.
Secondly, we observe that the two nonnegative equilibriums of the system are unstable through the eigenvalue discriminant method, and the positive equilibrium point is asymptotically stable by Jury criterion.
Lastly, we obtain the optimal capture strategy of the system from the maximum principle by constructing a discrete Hamiltonian function.
To show the feasibility of the main results, a suitable example together with its numerical simulations is illustrated in the last part of the paper.
The example with certain practical significance might give an optimal scheme of the greatest economic benefits for the captors.
American Psychological Association (APA)
Wu, Ting. 2012. Dynamic Behaviors of a Discrete Two Species Predator-Prey System Incorporating Harvesting. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-471539
Modern Language Association (MLA)
Wu, Ting. Dynamic Behaviors of a Discrete Two Species Predator-Prey System Incorporating Harvesting. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-471539
American Medical Association (AMA)
Wu, Ting. Dynamic Behaviors of a Discrete Two Species Predator-Prey System Incorporating Harvesting. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-471539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471539