A. Q. Khan Q. Din M. N. Qureshi T. F. Ibrahim Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan Department of Mathematics, Faculty of Sciences and Arts King Khalid University, Abha, Saudi Arabia Permanent address: Department of Mathematics, Faculty of Sciences Mansoura University, Mansoura 35516, Egypt Computational Ecology and Software ISSN 2220-721X http://www.iaees.org/publications/journals/ces/online-version.asp 2014 4 1 35 46 International Academy of Ecology and Environmental Sciences Hong Kong 22 October 2013 28 November 2013 1 March 2014 system of rational difference equations stability global character rate of convergence In the present work, we study the qualitative behavior of an anti-competitive system of fourth-order rational difference equations. More precisely, we study the local asymptotic stability, global character of the unique equilibrium point, and the rate of convergence of the positive solutions of the given system. Some numerical examples are given to verify our theoretical results. DOI 10.0000/issn-2220-721x-compuecol-2014-v4-0004 http://www.iaees.org/publications/journals/ces/articles/2014-4(1)/global-behavior-of-an-anti-competitive-system.pdf