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Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses

机译：具有毒物和脉冲效应的时滞竞争系统正周期解的存在性和全局吸引性

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summary:In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.

机译：摘要：本文研究了一类具有毒性和脉冲效应的非自治延迟竞争系统。通过使用巧合度理论的连续性定理，我们推导出了一组易于验证的充分条件，这些条件保证了至少一个正周期解的存在，并且通过构造合适的Lyapunov泛函，正周期解的唯一性和全局吸引性成为成立。

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Xu, Changjin; Zhang, Qianhong; Liao, Maoxin;
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年度 2013
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正文语种 eng
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1. Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses [J] . Changjin Xu, Qianhong Zhang, Maoxin Liao Applications of Mathematics . 2013,第3期

机译：具有毒物和脉冲效应的时滞竞争系统正周期解的存在性和全局吸引性
2. Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses [J] . Liao Maoxin, Xu Changjin, Zhang Qianhong Applications of mathematics . 2013,第3期

机译：具有毒物和脉冲效应的时滞竞争系统正周期解的存在性和全局吸引性
3. EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTIONS FOR A DELAYED COMPETITIVE SYSTEM WITH THE EFFECT OF TOXIC SUBSTANCES AND IMPULSES [J] . CHANGJIN XU, QIANHONG ZHANG, MAOXIN LIAO Applications of Mathematics . 2013,第3期

机译：具有毒物质和脉冲作用的时滞竞争系统正周期解的存在性和全局吸引性。
4. Existence and Global Attractivity of Almost Periodic Solution of Hopfield Neural Networks with Time Delays [C] . Meng Yanshuang Computational Intelligence and Security (CIS), 2011 Seventh International Conference on . 2011

机译：时滞Hopfield神经网络概周期解的存在性和全局吸引性。
5. Existence and Stabilization of Periodic Solutions in Equivariant Systems [D] . Hooton, Edward 2018

机译：等变系统周期解的存在性与稳定性
6. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

机译：具有分布时滞和脉冲的中立型Cohen-Grossberg分流抑制性细胞神经网络的概周期解的全局指数稳定性
7. A NEW EXISTENCE THEORY FOR POSITIVE PERIODIC SOLUTIONS TO A NEUTRAL DELAY n-SPECIES COMPETITIVE MODEL WITH THE EFFECT OF TOXIC SUBSTANCE AND IMPULSE [O] . Jie Peng, Zhenguo Luo, Yang Deng, 2017

机译：一种新的存在理论，用于中性延迟N族竞争模型的毒性物质与脉冲效应

Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses

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