Open AccessAsymptotic behavior of an anti-competitive system of second-order difference equations
Author(s) -
Qamar Din
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.08.008
Subject(s) - mathematics , uniqueness , order (exchange) , convergence (economics) , rate of convergence , equilibrium point , mathematical analysis , pure mathematics , differential equation , channel (broadcasting) , engineering , finance , electrical engineering , economics , economic growth
In this paper, we study the boundedness and persistence, existence and uniqueness of positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence of positive solutions of following system of rational difference equationsxn+1=α1+β1yn-1a1+b1xn,yn+1=α2+β2xn-1a2+b2yn,where the parameters αi,βi,ai,bi for i∈{1,2} and initial conditions x0,x-1,y0,y-1 are positive real numbers. Some numerical examples are given to verify our theoretical results