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具无界时滞非自治Logistic模型的全局吸引性(英文)
GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS LOGISTIC MODEL WITH UNBOUNDED DELAY
【摘要】 考虑非自治Logistic模型△xn = pnxn(1 - xn- knλ), n = 0,1,…, (1)其中{pn}n0为非负实数列,{kn}n0为非负整数列且limn→∞(n- kn)= ∞,lim supn→∞ kn= ∞,λ为正常数.我们获得了方程(1)的平衡点λ全局吸引的新的充分条件,改进了文[5]的相应结果.
【Abstract】 Consider the nonautonomous logistic model△x n=p nx n(1-x n-k n λ), n=0,1,…,(1)where {p n} n0 is a sequence of nonnegative real numbers, {k n} is a sequence of nonnegative integers satisfying lim n→∞ (n-k n)=∞ ,lim sup n→∞ k n=∞ ,and λ is a positive constant.We obtain new sufficient conditions for the global attractivity of the equilibrium λ of Eq.(1),which improve some recent results established in [5].
【关键词】 全局吸引性;
非自治Logistic模型;
无界时滞;
【Key words】 Global attractivity; Nonautonomous logistic model; Unbounded delay.;
【Key words】 Global attractivity; Nonautonomous logistic model; Unbounded delay.;
- 【文献出处】 经济数学 ,MATHEMATICS IN ECONOMICS , 编辑部邮箱 ,1999年02期
- 【分类号】O175.2
- 【被引频次】2
- 【下载频次】38