Extinction for a discrete competition system with feedback controls

Advances in Difference Equations

Shengbin Yu¹ 

[1] Department of Basic Teaching and Research, Yango College, Fuzhou, P.R. China

关键词: extinction;    discrete;    competition;    feedback controls;   

DOI  :  10.1186/s13662-016-1066-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY