A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models

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 parti...

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Bibliographic Details
Main Authors: Young-Hee Kim, Sangmok Choo
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/674027