| 具脉冲效应时滞微分方程的全局吸引性 |
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| 引用本文： | 向大晶,刘兵. 具脉冲效应时滞微分方程的全局吸引性[J]. 生物数学学报, 2003, 18(2): 146-158 |
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| 作者姓名： | 向大晶 刘兵 |
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| 作者单位： | 1. 湖北民族学院,数学系,湖北,恩施,44500
2. 鞍山师范学院,生物数学研究所,辽宁,鞍山,114005 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10171106) |
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| 摘 要： | 系统研究了具脉冲效应时滞系统x(t)=f(t,x(t-τ1(t)),…，x（t-τm（t））），t，t-τi(t）≠tk,k∈Z^ ,x(tk^ )=x(tk) Ik(x(tk)),t=tk,k∈Z^ 的正平衡态的全局吸引性，并把得到的理论结果应用到多个具脉冲效应时滞的种群模型。
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| 关 键 词： | 脉冲效应 时滞微分方程 全局吸引性 时滞 种群模型 |
Global Attractivity in Delay Differential Equations with Impulsive Effects |
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| XANG Da-jing LIU Bing. Global Attractivity in Delay Differential Equations with Impulsive Effects[J]. Journal of Biomathematics, 2003, 18(2): 146-158 |
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| Authors: | XANG Da-jing LIU Bing |
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| Affiliation: | X1ANG Da-jing LIU Bing |
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| Abstract: | Some sufficient conditions which guarantee every solution of the nonlinear delay impulsive differential equation x(t]=f(t, x(t-(t)), x(t- m (t))),t, t- tends to its equilibrium are obtained. Our results have applications to delay differential equations in mathematical biology. |
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| Keywords: | Global attractivity Delay Impulsive effect Population model |
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