时滞Logistic差分方程的吸引性

GLOBAL ATTRACTIVITY IN A DELAY LOGISTIC DIFFERENCE EQUATION

考虑时滞Logistic差分方程xn+1=xnexp[rn(1-bxpn-k-cxqn-l)],其中b>0,c>0,q>p>0,k、l为非负整数,{rn}为非负实数列,获得了方程正解的全局吸引性条件.

Consider the delay logistic difference equation xn+1=xn exp [rn(1-bxpn-k-cxqn-l)],where b>0,c>0,q>p>0,k,l∈Z+,{rn}≥0.A condition for the global attractivity of all positive solutions of the equation is derived.