Advances in Dynamical Systems and Applications
  • Year: 2006
  • Volume: 1
  • Issue: 2

Existence of Positive Periodic Solutions of Mutualism Systems with Several Delays1

  • Author:
  • Yonghui Xia
  • Total Page Count: 9
  • Page Number: 209 to 217

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, P.R. China. E-mail: yhxia@fzu.edu.cn; xiayonhui@163.com

AMS subject classification: 34C25, 92D25, 92B05.

Abstract

In this paper, by using Mawhin coincidence degree, we study the global existence of positive periodic solutions for a class of mutualism systems with several delays and obtain a new and interesting criterion, which is much different from those of Yang etc. [8]. Moreover, our arguments for obtaining bounds of solutions to the operator equation Lx = λN x are much different from those used in [8]. So some new arguments are employed for the first time.

Keywords

Periodic solutions, coincidence degree, mutualism model