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| Paper IPM / M / 2325 |
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| Abstract: | |
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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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