| MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPEⅣFUNCTIONAL RESPONSES |
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| 作者姓名： | Bi Ping |
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| 作者单位： | Bi Ping (Dept.of Math.，East China Normal University，Shanghai 200062) Zhang Weipeng (School of Math.and Statistics，Northeast Normal University，Changchun 130024) |
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| 基金项目： | National Natural Science Foundation of China(#10671069). |
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| 摘 要： | The main purpose of this paper is to explore the existence of positive periodic solutions to impulsive predator-prey systems with typeⅣfunctional responses. Sufficient criteria are obtained for the existence of strictly positive periodic solutions.The approach is based on a continuation theorem in the coincidence degree theory as well as some prior estimates.This is also the first time that multiple positive periodic solutions are obtained using coincidence degree theory in impulsive ecological systems.
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| 关 键 词： | impulsive predator-prey systems typeⅣfunctional response positive periodic solution coincidence degree |
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