Permanence And Periodic Solutions For A Diffusive Ratio-dependent Predator-prey System

Xiuxiang Liu; Lihong Huang

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Permanence And Periodic Solutions For A Diffusive Ratio-dependent Predator-prey System

机译：具比率依赖的捕食者－食饵系统的持久性和周期解

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This paper considers a diffusive predator-prey model, in which there is a ratio-dependent functional response with Holling III type. We establish some sufficient conditions for the ultimate boundedness of solutions and permanence of this system. The existence of a unique globally stable periodic solution is also presented.

机译：本文考虑一个具有捕食者-被捕食者的扩散模型，其中存在一种与比率相关的Holling III型功能性反应。我们为解决方案的最终界和该系统的持久性建立了一些充分的条件。还介绍了唯一的全局稳定周期解的存在。

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《Applied Mathematical Modelling》 |2009年第2期|683-691|共9页
作者
Xiuxiang Liu; Lihong Huang;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
diffusive predator-prey system; functional response; permanence; periodic solutions; stability;

机译：扩散捕食者-食饵系统;功能反应;恒久定期解决方案;稳定性;

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专利

1. Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response [J] . Lin-Lin Wang, Wan-Tong Li Journal of Computational and Applied Mathematics . 2004,第2期

机译：具Holling型功能反应的比率型时滞捕食者-食饵模型的周期解和持久性。
2. Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure [J] . Li ZX, Chen LS, Huang JM Journal of Computational and Applied Mathematics . 2009,第2期

机译：具Holling型功能反应和阶段结构的比率型时滞捕食模型的持久性和周期性。
3. Permanence and periodic solutions for an impulsive reaction-diffusion food-chain system with ratio-dependent functional response [J] . Zijian Liu, Shouming Zhong, Xiaoyun Liu Communications in Nonlinear Science and Numerical Simulation . 2014,第1期

机译：具有比例依赖的功能反应的脉冲反应扩散食物链系统的持久性和周期解
4. Permanence and Periodicity of Predator-Prey Diffusive System with Depositings and Ratio-Dependence [C] . Qin Jie, Cheng Rongfu Information and Computing Science (ICIC), 2012 Fifth International Conference on . 2012

机译：具有存款和比率依赖的捕食者-食饵扩散系统的持久性和周期性。
5. A computationally-efficient method for direct long-time solutions of the diffusivity equation in closed systems. [D] . Lee, Kun Sang. 1995

机译：一种计算有效的方法，用于直接在封闭系统中长期求解扩散方程。
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. Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure [O] . Xu, Rui, Chaplain, M. A. J., Davidson, F. A. 2005

机译：具阶段结构的比率型时滞捕食者-食饵模型的持久性和周期性。

Permanence And Periodic Solutions For A Diffusive Ratio-dependent Predator-prey System

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