Almost periodic dynamics in a nonautonomous bi-directional consumer-resource system with time delays

作者：Li, Yaqin; Zhang, Tianwei^*

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2016, 35(2): 559-577.

DOI：10.1007/s40314-014-0205-0

• Consumer-resource
• Almost periodicity
• Coincidence degree
• Facultative mutualism
• Stability

In this paper, we study an almost periodic nonautonomous bi-directional consumer-resource system described by a facultative mutualism model with time delays. By using Mawhin's continuation theorem of coincidence degree theory and constructing a suitable Lyapunov functional, some easily verifiable conditions are obtained for the existence and global asymptotic stability of positive almost periodic solutions of the above system. Some example 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 influence the existence and global asymptotic stability of positive almost periodic oscillations.

• 出版日期2016-7
• 单位昆明理工大学; 昆明学院