Dynamics of an almost periodic facultative mutualism model with time delays


Authors

Zunguang Guo - Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China. Can Li - Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, China.


Abstract

By using some new analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of two-species model of facultative mutualism with time delays are obtained. Further, the global asymptotic stability of the positive almost periodic solution of this model is also considered. Some examples and numerical simulations are provided to illustrate the main results of this paper. Finally, a conclusion is also given to discuss how the parameters of the system in uence the existence and globally asymptotic stability of positive almost periodic oscillations.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Zunguang Guo, Can Li, Dynamics of an almost periodic facultative mutualism model with time delays, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2316--2330

AMA Style

Guo Zunguang, Li Can, Dynamics of an almost periodic facultative mutualism model with time delays. J. Nonlinear Sci. Appl. (2016); 9(5):2316--2330

Chicago/Turabian Style

Guo, Zunguang, Li, Can. "Dynamics of an almost periodic facultative mutualism model with time delays." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2316--2330


Keywords


MSC


References