Positive periodic solutions for impulsive predator-prey model with dispersion and time delays

نویسندگان

  • Ruixi Liang
  • Jianhua Shen
چکیده

In this paper, we study the existence and global attractivity of positive periodic solutions for impulsive predator–prey systems with dispersion and time delays. By using the method of coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution, and by means of a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented. Some known results subject to the underlying systems without impulses are improved and generalized. c © 2007 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 217  شماره 

صفحات  -

تاریخ انتشار 2010