ON THE CONTINUITY OF THE FUNCTION DESCRIBING THE TIMES OF MEETING IMPULSIVE SET AND ITS APPLICATION
ON THE CONTINUITY OF THE FUNCTION DESCRIBING THE TIMES OF MEETING IMPULSIVE SET AND ITS APPLICATION
复制标题
描述脉冲集满足次数函数的连续性及其应用
DOI：
10.3934/mbe.2017072
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发表时间：
2017-10-01
影响因子：
2.6
通讯作者：
Pang, Wenhong
中科院分区：
文献类型：
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作者：
Tang, Sanyi;Pang, Wenhong
平面脉冲半动力系统轨道极限集的性质严格依赖于描述与脉冲集相遇次数的函数的连续性。在这篇笔记中，我们将展示一个更现实的反例来证明这个函数的连续性，它已经被证明并被广泛应用于脉冲动力系统，并应用于包括人口动力学和疾病控制在内的生命科学。在此基础上，给出了保证函数连续性的附加条件，并讨论了该函数在应用中的应用和不足。
The properties of the limit sets of orbits of planar impulsive semi-dynamic system strictly depend on the continuity of the function, which describes the times of meeting impulsive sets. In this note, we will show a more realistic counter example on the continuity of this function which has been proven and widely used in impulsive dynamical system and applied in life sciences including population dynamics and disease control. Further, what extra condition should be added to guarantee the continuity of the function has been addressed generally, and then the applications and shortcomings have been discussed when using the properties of this function.