讨论平方Logistic差分方程xn+1-xn=rnxn(1+bxn-kn-cx2n-kn), n=0,1,…，其中｛rn｝是非负实数列，｛kn｝是非负整数列，｛n-kn｝非单调递减，且rnlimn→∞(n-kn)=∞,b∈(-∞,∞),c∈(0,+∞),给出了保证方程每一正解趋于正平衡点的充分条件，所得定理推广和改进了已有结果。它在人口理论的研究中有着重要作用。%Square Logistic difference equation is studied xn+1-xn=rnxn(1+bxn-kn-cx2n-kn), n=0,1,…，where ｛rn｝ is a sequence of non-negative real numbers,｛kn｝ is a sequence of non-negative intergers ,｛n-kn｝ is non-decreasing ,limn→∞(n-kn)=∞,b∈(-∞,+∞),c∈(0,+∞) .New sufficient conditions for the global attractivity of the positive equilibrium of equation is obtained, which improve some recent results in literature.
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