Extinction for a discrete competition system with feedback controls
We consider a nonautonomous discrete competition system with nonlinear interinhibition terms and feedback controls. By constructing a suitable Lyapunov function, we obtain some criteria about the extinction of one of the two species and the corresponding feedback controls varieties.
Our conclusions not only supplement but also improve some existing ones. Numerical simulations are used to illustrate our analytic analysis.
We show that feedback control variables play an important role in the extinction property of the system.