TY - JOUR
A2 - Zhou, Zhan
AU - Khan, A. Q.
AU - Qureshi, M. N.
PY - 2014
DA - 2014/09/15
TI - Behavior of an Exponential System of Difference Equations
SP - 607281
VL - 2014
AB - We study the qualitative behavior of the following exponential system of rational difference equations: xn+1 = αe-yn+βe-yn-1/γ+αxn+βxn-1, yn+1 = α1e-xn+β1e-xn-1/γ1+α1yn+β1yn-1, n = 0,1,…, where α, β, γ, α1, β1, and γ1 and initial conditions x0, x-1, yo, and y-1 are positive real numbers. More precisely, we investigate the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions that converges to unique positive equilibrium point of the system. Some numerical examples are given to verify our theoretical results.
SN - 1026-0226
UR - https://doi.org/10.1155/2014/607281
DO - 10.1155/2014/607281
JF - Discrete Dynamics in Nature and Society
PB - Hindawi Publishing Corporation
KW -
ER -