CHEN Si-yang1, HUANG Jian-ke1,2
(1 College of Mathematics and Information Science， Shaanxi Normal University, Xi′an 710062, Shaanxi, China; 2 Military Operational Teaching and Research Section， Xi′an Military Academy, Xi′an 710108, Shaanxi, China)
Abstract:
A two-species nonautonomous competitive system with feedback controls and functional response is considered, sufficient conditions are derived for uniform persistence of this system by using the comparison theorem. Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function. Finally, a suitable example is give to illustrate the feasibility of our main results.
KeyWords:
feedback control; functional response; competitive system; uniform persistence; periodic solution
