Existence and Global Asymptotic Stability of Positive Periodic Solutions of a Lotka-volterra Type Competition Systems with Delays and Feedback Controls

نویسنده

  • ANH TUAN TRINH
چکیده

The existence of positive periodic solutions of a periodic LotkaVolterra type competition system with delays and feedback controls is studied by applying the continuation theorem of coincidence degree theory. By contracting a suitable Liapunov functional, a set of sufficient conditions for the global asymptotic stability of the positive periodic solution of the system is given. A counterexample is given to show that the result on the existence of positive periodic solution in [4] is incorrect.

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تاریخ انتشار 2013