On Permanence and Asymptotically Periodic Solution of A Delayed Three-level Food Chain Model with Beddington-DeAngelis Functional Response
نویسندگان
چکیده
This paper deals with a delayed three-level food chain model with Beddington-DeAngelis functional response. By using the differential inequality theory, a set of sufficient conditions are obtained for the permanence of the system. By constructing a suitable Liapunov function, we derive that the system has a unique asymptotically periodic solution which is globally asymptotically stable. An example is given to illustrate the effectiveness of the results. The paper ends with a brief conclusion.
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