Abstract
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.
Highlights
Much attention has been paid to the competition systems
In this paper, we apply the analysis technique of Chen et al [ ], Xu et al [ ], and Zhang et al [ ] to obtain a set of sufficient conditions that guarantee one of the two species and the corresponding feedback controls varieties will be driven to extinction
By comparing Theorem . with Corollary . , and Theorem . with Corollary . we found that, for such a kind of systems, feedback control variables play an important role in the extinction property of the system
Summary
Much attention has been paid to the competition systems. For example, Wang et al [ ] considered the following two-species competition system with nonlinear interinhibition terms: ⎧ ⎨x (t) = x (t){r (t) a (t)x (t)c (t )x (t ) +x (t ) }, ⎩x (t) ( . )where x (t), x (t) are the population densities of two competing species, a (t), a (t) are the intraspecific competition rate of the first and second species, c (t), c (t) represent the interspecific competing rates and r (t), r (t) are the intrinsic growth rates of species. Wang et al [ ] considered the following two-species competition system with nonlinear interinhibition terms: Wang et al [ ] showed the existence and global asymptotic stability of positive almost periodic solutions of model
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
