数学物理学报 ›› 2011, Vol. 31 ›› Issue (3): 709-719.

• 论文 • 上一篇    下一篇

一类种群动力学中具有状态选择时滞的非局部偏微分方程的强周期解

李祥, 李志祥   

  1. 国防科学技术大学理学院数学与系统科学系 长沙 410073
  • 收稿日期:2009-07-25 修回日期:2010-06-22 出版日期:2011-06-25 发布日期:2011-06-25

Strong Periodic Solution for a Class of Non-local PDE Models for Population Dynamics with State-selective Delays

 LI Xiang, LI Zhi-Xiang   

  1. Department of |Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073
  • Received:2009-07-25 Revised:2010-06-22 Online:2011-06-25 Published:2011-06-25

摘要:

该文研究了一类种群动力学中的状态选择时滞非局部偏微分方程. 首先用 Garlekin方法证明强周期解的存在性, 然后通过构造Lyapnov泛函得到周期解的全局吸引性.

关键词: 非局部偏微分方程, 强周期解, 全局吸引性

Abstract:

In this paper, a class of non-local PDE models for population dynamics with state-selective delays is considered and  the existence of strong periodic solutions is investigated via  Garlekin method. Moreover, the uniqueness and global attractivity of the periodic solution are discussed by using a Lyapnov function.

Key words: Non-local PDE model, Strong periodic solution, Global attractivity

中图分类号: 

  • 35B10