A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An Euler difference scheme for a three-dimensional predator-prey model is considered and we introduce a new approach to show the global stability of the scheme.
For this purpose, we partition the three-dimensional space and calculate the sign of the rate change of population of species in each partitioned region.
Our method is independent of dimension and then can be applicable to other dimensional discrete models.
Numerical examples are presented to verify the results in this paper.
American Psychological Association (APA)
Kim, Young-Hee& Choo, Sangmok. 2015. A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060722
Modern Language Association (MLA)
Kim, Young-Hee& Choo, Sangmok. A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1060722
American Medical Association (AMA)
Kim, Young-Hee& Choo, Sangmok. A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060722
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060722
