固定周期脉冲微分方程到状态依赖脉冲的转化及应用  

Conversion from Fixed Periodic Impulsive Differential Equations to State-Dependent Impulsive Equations And Applications

作　　者：王凤筵[1] 张树文[2] 

机构地区：[1]大连理工大学应用数学系 [2]鞍山师范学院生物数学研究所,辽宁鞍山114005

出　　处：《生物数学学报》2005年第2期173-178,共6页Journal of Biomathematics

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.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

关 键 词：脉冲半动力系统 阶1周期解 轨道稳定性 吸引性 

分 类 号：O175[理学—数学]