Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays

Wang D.; Wang Q.

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Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays

机译：具有扩散和可变时滞的两种群的比率型捕食者-食饵系统的一致持久性。

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摘要

A two-species ratio-dependent predator-prey diffusion model with variable time delays is investigated. By constructing some suitable Lyapunov functionals and utilizing some analysis techniques, we obtain the permanence of this system. Our results generalize and improve the results of [10,11].

机译：研究了具有可变时滞的两种种群比率依赖的捕食者-食饵扩散模型。通过构造一些合适的Lyapunov函数并利用一些分析技术，我们获得了该系统的永久性。我们的结果概括并改进了[10,11]的结果。

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《Applied mathematics and computation》 |2011年第10期|共11页
作者
Wang D.; Wang Q.;
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正文语种 eng
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关键词
Diffusion; Uniform persistence; Variable time delay;

机译：扩散;一致的持久性;可变的时间延迟;

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1. Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays [J] . Wang D., Wang Q. Applied mathematics and computation . 2011,第10期

机译：具有扩散和可变时滞的两种群的比率型捕食者-食饵系统的一致持久性。
2. Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay [J] . Xu R., Davidson FA., Chaplain MAJ. Journal of Mathematical Analysis and Applications . 2002,第1期

机译：具有分布时滞的两种种群比率依赖的捕食者-食饵系统的持久性和稳定性
3. PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY [J] . 陈凤德, 史金麟, 陈晓星微分方程年刊：英文版 . 2004,第002期

机译：具有扩散和时滞的两种非自治捕食-收获系统的持久性和全局稳定性。
4. Existence of Positive Periodic Solution of a Ratio-Dependent Predator-Prey System with Time Delays [C] . Xinyi Chen International Conference on Electronics, Network and Computer Engineering . 2016

机译：与时间延迟的比例依赖捕食者 - 猎物系统正周期解的存在
5. Dynamics of Predator-Prey Models with Ratio-Dependent Functional Response and Diffusion. [D] . Cervantes Casiano, Ricardo. 2016

机译：具有比率相关的功能响应和扩散的捕食者－食饵模型的动力学。
6. Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol [O] . Jiyue Guo, Zidong Wang, Lei Zou, 2020

机译：最终有限于随机接入协议下具有均匀量化的时延的非线性随机系统的界限滤波
7. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment [O] . Xu Rui, Chen Lansun 2000

机译：两补丁环境下具时滞的两种种群比率相关捕食者-食饵系统的持久性和稳定性

Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays

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