| 固定周期脉冲微分方程到状态依赖脉冲的转化及应用 |
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| 引用本文： | 王凤筵,张树文. 固定周期脉冲微分方程到状态依赖脉冲的转化及应用[J]. 生物数学学报, 2005, 20(2): 173-178 |
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| 作者姓名： | 王凤筵 张树文 |
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| 作者单位： | 1. 大连理工大学,应用数学系,辽宁,大连,116024;西北第二民族学院,信息与计算科学系,宁夏,银川,750021
2. 鞍山师范学院,生物数学研究所,辽宁,鞍山,114005 |
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| 摘 要： | 本文研究了一类二维状态依赖脉冲微分方程的阶1周期解存在性和轨道稳定性条件．然后，将一维固定周期脉冲的微分方程转化为二维状态依赖脉冲微分方程，研究其阶一周期解的存在性和稳定性．作为应用，我们研究了固定周期常数收获的Logistic方程的动力学性质，以及两个固定周期注射药物单室扩散模型的动力学性质．
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| 关 键 词： | 脉冲半动力系统 阶1周期解 轨道稳定性 吸引性 |
| 文章编号： | 1001-9626(2005)02-0173-06 |
| 修稿时间： | 2004-01-05 |
Conversion from Fixed Periodic Impulsive Differential Equations to State-Dependent Impulsive Equations And Applications |
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| WANG Feng-yan,ZHANG Shu-wen. Conversion from Fixed Periodic Impulsive Differential Equations to State-Dependent Impulsive Equations And Applications[J]. Journal of Biomathematics, 2005, 20(2): 173-178 |
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| Authors: | WANG Feng-yan ZHANG Shu-wen |
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| Abstract: | This paper transforms a kind of periodic impulsive differential equations to state-dependent impulsive equations. By using some theorems, which have been established for the periodic solutions and their stabilities of state-dependent impulsive equations, we easily understand these periodic solutions' existence and their stability. Specially, we discuss a population exploitative model with constant periodic harvest and two medicamental dynamics' models |
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| Keywords: | Impulsive semi-dynamical system order 1 periodic solution stability trajectory. |
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