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On a predator-prey system of Holling type |
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| Authors: | Jitsuro Sugie Rie Kohno Rinko Miyazaki |
| Affiliation: | Department of Mathematics, Faculty of Science, Shinshu University, Matsumoto 390, Japan ; Department of Mathematics, Faculty of Science, Shinshu University, Matsumoto 390, Japan Rinko Miyazaki ; Department of Mathematical Sciences, Osaka Prefecture University, Sakai 593, Japan |
| Abstract: | We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our result extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino. |
| Keywords: | Limit cycles global asymptotic stability predator-prey system functional response |
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