Some Conditions for the Nonexistence of Limit Cycles in a Predator-Prey System |
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Authors: | SM Moghadas |
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Institution: | Institute for Studies in Theoretical Physics and Mathematics , P.O. Box 19395-5746, Tehran , Iran |
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Abstract: | In this paper, we study the problem of the existence of limit cycles for a predator-prey system with a functional response. It is assumed that the functional response is positive, increasing, concave down, and its third derivative has a unique root. A necessary condition for the nonexistence of limit cycles is presented. Some conditions are given under which the necessary condition is also the sufficient condition for the nonexistence of limit cycles. |
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Keywords: | Predator-prey System Functional Response Limit Cycle |
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