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MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES

机译：具有IV类功能反应的脉冲捕食-捕食系统中的多个正周期解

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The main purpose of this paper is to explore the existence of positive periodic solutions to impulsive predator-prey systems with type IV functional 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.

机译：本文的主要目的是探讨具有IV型功能反应的脉冲捕食者－食饵系统的正周期解的存在性。对于严格正周期解的存在，获得了足够的标准。该方法基于重合度理论中的连续定理以及一些先验估计。这也是脉冲生态系统中使用重合度理论首次获得多个正周期解。

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来源
《Annals of Differential Equations》|2007年|391-399|共9页
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作者
Zhang Xiufang; rnXu Shilang;
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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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正文语种
中图分类微分学;
关键词
impulsive predator-prey systems; type IV functional response; positive periodic solution; coincidence rndegree;

机译：脉冲捕食系统； IV型功能反应；正周期解；重合度;

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专利

1. MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES [J] . Bi Ping, Zhang Weipeng Annals of Differential Equations . 2007,第4期

机译：具有IV类功能反应的脉冲捕食-捕食系统中的多个正周期解
2. MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES [J] . Bi Ping, Zhang Weipeng 微分方程年刊：英文版 . 2007,第004期

机译：具IV类功能反应的脉冲捕食-捕食系统中的多个正周期解
3. Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses [J] . Zhang WP, Zhu D, Bi P Applied mathematics letters . 2007,第10期

机译：具Ⅳ类功能反应的时滞离散捕食系统的多个正周期解。
4. MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES [C] . National Conference on Qualitative Theory of Differential Equations . 2007

机译：具有IV型功能响应的脉冲捕食者 - 猎物系统中多种正周期解
5. Multiple periodic solutions for nonautonomous asymptotically linear Hamiltonian systems. [D] . Wang, Chengwen. 2000

机译：非自治渐近线性哈密顿系统的多个周期解。
6. Multiple periodic solutions of a delayed predator–prey model with non-monotonic functional response and stage structure [O] . Yingyuan Liu, Xiaolan Zhang, Tiejun Zhou -1

机译：具有非单调功能响应和阶段结构的时滞捕食模型的多个周期解
7. Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales [O] . Shengbin Yu, Haihui Wu, Jiangbin Chen 2012

机译：延迟捕食者 - 猎物系统的多个定期解，IV型功能响应时间尺度

MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPE IV FUNCTIONAL RESPONSES

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