一类指数型差分方程系统正解的渐近行为

Asymptotic behavior of the positive solutions for the difference equation system of exponential form

研究指数型差分方程系统x_(n+1)=a+bx_ne^(-yn_(-1)),y_(n+1)=c+dy_ne^(-x_(n-1)),n=0,1,…正解的有界性、不变区间、平衡点的局部渐近稳定性及全局吸引性,其中参数a,b,c,d为正常数,初值x_(-1),x_0,y_(-1),y_0为非负实数.最后,结合实例,通过Matlab数值模拟验证了结论的正确性.

The boundedness , invariant intervals and the global asymptotic behavior of the positive solutions for the system of difference equation xn＋1=a＋bxne^-yn-1,yn＋1=c＋dyne^-xn-1,n=0,1,… are discussed in this paper , w here the parameters a ,b ,c ,d are positive constants , and the initial values x-1 ,x0 ,y-1 ,y0 are nonnegtive real numbers . The examples are given to verify the correctness of the conclusions from the graphics by Matlab numerical simulation .