Existence of Periodic Solution in Three-Prey One-Predator System with Watt-Type Functional Response and Impusive Effect

机译：具有Wat型功能性反应和脉冲效应的三食饵捕食者系统周期解的存在性

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In this paper, we study the existence of periodic solutions of three-prey one predator system with Watt-type functional response and impulsive effects. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions to guarantee the existence of periodic solutions of the system are obtained. Then the permanence of the periodic system is discussed. Finally, an example is given to conform our theoretical results.

机译：在本文中，我们研究了具有Watt型功能响应和脉冲效应的三食掠食系统的周期解的存在性。通过使用重合度理论的连续定理，获得了一组易于验证的足以保证系统周期解存在的条件。然后讨论了周期系统的持久性。最后，给出一个例子来证明我们的理论结果。

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《International congress on mathematical biology;ICMB2011》|2011年|p.970-976|共7页
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Weirong Yuan; Minghui Jiang; Futian Yu;
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正文语种
中图分类数学生物物理学;数学生物物理学;数学生物物理学;
关键词
Predator-Prey system; Watt-type functional response; Periodic solution; Impulsive effect; Coincidence degree; Uniform permanence;

机译：捕食者-食饵系统瓦特型功能反应周期解脉冲效应重合度一致持久性;

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3. PERIODIC SOLUTIONS FOR A DELAYED ONE-PREDATOR AND TWO-PREY SYSTEM WITH ROLLING TYPE-Ⅱ FUNCTIONAL RESPONSE [J] . Liu Qiming, Xu Rui Annals of Differential Equations . 2005,第1期

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4. Existence of Periodic Solution in Three-Prey One-Predator System with Watt-Type Functional Response and Impusive Effect [C] . Weirong Yuan, Minghui Jiang, Futian Yu International congress on mathematical biology . 2011

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Existence of Periodic Solution in Three-Prey One-Predator System with Watt-Type Functional Response and Impusive Effect

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