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MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM

机译：一类时滞依赖于捕食者-捕食者系统的多重周期

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摘要

The existence of the multiple positive periodic solutions to a delayed state dependent predator-prey system with non-monotonic functional response is considered. Using the continuation theorem based on Mawhin's coincidence degree, some more generalized results are obtained.

机译：考虑具有非单调功能性反应的时滞依赖捕食者－食饵系统的多个正周期解的存在。使用基于Mawhin重合度的连续定理，可以获得一些更广义的结果。

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来源
《Annals of Differential Equations》|2007年|484-491|共8页
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作者
Yang Ling-qiang; rnPeng Xiao-tong; rnLin Ming-qiang;
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作者单位

Qin Fajin@Mathematical College, Sichuan University, Chengdu 610064 Depl. of Math. Comput. Sci., Liuzhou Teachers College, Liuzhou 545004, Guangxi--Deng Jin@Mathematical College, Sichuan University, Chengdu 610064--Xu Daoyi@Mathematical College, Sichuan University, Chengdu 610064--;

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正文语种
中图分类微分学;
关键词
state-dependent delay; predator-prey system; multiple positive periodic solution; coincidence degree;

机译：状态依赖时滞;捕食系统;多重正周期解;重合度;

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专利

1. MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM [J] . Qin Fajin, Deng Jin, Xu Daoyi Annals of Differential Equations . 2007,第4期

机译：一类时滞依赖于捕食者-捕食者系统的多重周期
2. MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM [J] . Qin Fajin, Deng Jin, Xu Daoyi 微分方程年刊：英文版 . 2007,第004期

机译：一类时滞依赖于捕食者-捕食者系统的多重周期
3. Periodicity in a nonlinear predator-prey system on time scales with state-dependent delays [J] . Chen XX Applied mathematics and computation . 2008,第1期

机译：具状态依赖时滞的时标上的非线性捕食者－食饵系统的周期性
4. MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM [C] . National Conference on Qualitative Theory of Differential Equations . 2007

机译：多个周期性到一类延迟状态相关的捕食者 - 猎物系统
5. Stability and Control of Fractional-Order Systems with Delays and Periodic Coefficients [D] . Dabiri, Arman. 2018

机译：具有时滞和周期系数的分数阶系统的稳定性和控制
6. Generation of periodic waves by landscape features in cyclic predator-prey systems. [O] . J A Sherratt, X Lambin, C J Thomas, 2002

机译：循环捕食者－被捕食者系统中的景观特征产生周期波。
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
8. Periodic Solutions for Functional Differential Equations with Multiple State-Dependent Time Lags [R] . Mallet-Paret, J., Nussbaum, R. D., Paraskevopoulos, P. 1993

机译：具有多个状态依赖时滞的泛函微分方程的周期解

MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM

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