Dynamic Behaviors of a Harvesting Leslie-Gower Predator-Prey Model
Joint Authors
Chen, Fengde
Su, Qianqian
Wu, Ting
Zhang, Na
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A Leslie-Gower predator-prey model incorporating harvesting is studied.
By constructing a suitable Lyapunov function, we show that the unique positive equilibrium of the system is globally stable, which means that suitable harvesting has no influence on the persistent property of the harvesting system.
After that, detailed analysis about the influence of harvesting is carried out, and an interesting finding is that under some suitable restriction, harvesting has no influence on the final density of the prey species, while the density of predator species is strictly decreasing function of the harvesting efforts.
For the practical significance, the economic profit is considered, sufficient conditions for the presence of bionomic equilibrium are given, and the optimal harvesting policy is obtained by using the Pontryagin's maximal principle.
At last, an example is given to show that the optimal harvesting policy is realizable.
American Psychological Association (APA)
Zhang, Na& Chen, Fengde& Su, Qianqian& Wu, Ting. 2011. Dynamic Behaviors of a Harvesting Leslie-Gower Predator-Prey Model. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-474387
Modern Language Association (MLA)
Zhang, Na…[et al.]. Dynamic Behaviors of a Harvesting Leslie-Gower Predator-Prey Model. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-474387
American Medical Association (AMA)
Zhang, Na& Chen, Fengde& Su, Qianqian& Wu, Ting. Dynamic Behaviors of a Harvesting Leslie-Gower Predator-Prey Model. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-474387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474387