Abstract
Species living in a fluctuating medium and human exploitation activities might result in the duration of continuous changes. Such changes can be well-approximated as feedback controls. In this contribution a periodic discrete competitive system subject to feedback controls is proposed. By using the methods of discrete inequality, fixed point theorem, and analysis techniques, a good understanding of the existence and global asymptotic stability of positive periodic solutions is obtained. Some numerical investigations are provided to verify our analytical results.
Citation
Ronghua Tan. Zuxiong Li. Qinglong Wang. Zhijun Liu. "Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/927626