Dynamics of an almost periodic facultative mutualism model with time delays
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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
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
- Almost periodic solution
- coincidence degree
- facultative mutualism
- stability.
MSC
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