Asymptotic behavior of the positive solutions of an exponential type system of difference equations

摘要

In this paper we study the existence of a unique positive equilibrium, the boundedness, persistence and global attractivity of the positive solutions of a system of the following two difference equations:xn+1=axn+byn-1e-xn,yn+1=cyn+dxn-1e-yn,n=0,1,…where a,b,c,d are positive constants and the initial values x-1,x0,y-1,y0 are positive numbers.