红血球生长差分模型解的渐近性

Asymptotic Behavior of Solutions of Difference Model ofGrowth of Red Blood Cells

差分方程Δxn =rn(-xn+pe-rxn-k) , n=0 ,1,2 ,… ,用来描述红血球生长规律 ,运用迭代法给出了保证方程每一正解 {xn}趋于正平衡点的一族充分条件 ,所得结果不仅异于已知结论 。

The difference equation Δx n=r n(-x n+pe -rx n-k), n=0,1,2,... is used to describe the growth of red blood cells. By a new method, some sufficient conditions that guarantee every positive solution to convergence to the positive equilibrium are obtained. Our results are different from known results. The corollary of this paper generates and improves someknown results.