摘要
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 .
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
2017年第4期1-5,11,共6页
Journal of Northwest Normal University(Natural Science)
基金
甘肃省自然科学基金资助项目(145RJZA232)
关键词
差分方程
有界性
不变区间
渐近行为
difference equation
boundedness
invariant interval
asymptotic behavior