Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations

Chang-you Wang, Qi-hong Shi, Shu Wang
2010 Advances in Difference Equations  
t k are nonnegative integers, and A si , B, C, and D are arbitrary positive real numbers. We give sufficient conditions under which the unique equilibrium x 0 of this equation is globally asymptotically stable, which extends and includes corresponding results obtained in the work of Ç inar 2004 , Yang et al. 2005 . In addition, some numerical simulations are also shown to support our analytic results.
doi:10.1155/2010/505906 fatcat:sr37g7bazvgidmvptvvoywf4re