Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls

الملخص EN

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.