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中立型时滞模型周期正解的一个充分条件(英文)
Sufficient Condition on Positive Periodic Solution for Neutral Delay Model
【摘要】 研究了一类中立型时滞模型:N’(t)=N(t)[α(t)-β(t)N(t)-b(t)N(t-τ(t))-c(t)N‘(t-τ(t))]周期正解的存在性,其中α(t),β(t),b(t),c(t),τ(t)是周期T的非负连续函数.一个新的充分条件被给出,这一结果肯定的回答了文[1]的分开问题9.2.
【Abstract】 A new sufficient conditions are derived for the existence of positive periodic solution of neutral delay model of the form N’(t) = N(t)[α(t) -β(t)N(t)- b(t)N(t - τ(t))-c(t)N’(t - τ(t))] where α(t),β(t), b(f), c(f), τ(t) are nonnegative continuous T-periodic functions, and the result in this paper answer the open problem 9.2 in [1].
【关键词】 中立型;
时滞;
周期正解;
拓扑度;
【Key words】 Neutral type; Delay; Positive periodic solution; Topological degree;
【Key words】 Neutral type; Delay; Positive periodic solution; Topological degree;
【基金】 The project is supported by Natural Science Foundation of Yunnan !(97A012G,1999F0017M)
- 【文献出处】 生物数学学报 ,JOURNAL OF BIOMATHEMATICS , 编辑部邮箱 ,2000年01期
- 【分类号】O241
- 【被引频次】3
- 【下载频次】33