WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 13, 2014
Special Issue: Nonlinear Dynamics, Dynamical Systems and Processes Editors: A. V. Doroshin, F. Neri Permanence and Asymptotically Periodic Solution for A Cyclic Predator-Prey Model with Sigmoidal Type Functional Response
Authors: ,
Abstract: This paper is concerned with a cyclic predator-prey system with Sigmoidal type functional response. By using the differential inequality theory, some sufficient conditions are derived for the permanence of the system. By constructing a suitable Liapunov function, we obtain that the system has a unique asymptotically periodic solution which is globally asymptotically stable. Some numerical simulations that illustrate our analytical predictions are carried out. The paper ends with a brief conclusion.
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Keywords: Predator-prey system, Permanence, Sigmoidal type functional response, Asymptotically periodic solution, Liapunov function, Global stability
Pages: 668-678
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 13, 2014, Art. #67