Global dynamics of a competitive system of rational difference equations |
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Authors: | A Q Khan M N Qureshi |
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Institution: | Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan |
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Abstract: | In this paper, we study the qualitative behavior of a competitive system of second‐order rational difference equations. More precisely, we investigate the boundedness character, existence and uniqueness of positive equilibrium point, local asymptotic stability and global stability of the unique positive equilibrium point and rate of convergence of positive solutions of the system. Some numerical examples are given to verify our theoretical results. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | difference equations boundedness persistence asymptotic behavior rate of convergence subclass 39A10 40A05 |
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