Permanence for a predator-prey model with Schenk functional response

机译：具有Schenk功能响应的捕食者-食饵模型的持久性

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摘要

This paper deals with a diffusive predator-prey model with a functional response presented by Schenk based on the experiment tests. Based on an auxiliary lemma and by comparison principles, the ultimate boundedness, extinction of prey and permanence of system are investigated. The presented results are all applicable to such realistic cases as Hassell-Varley constant σ = 1,1/2 and 1/3.

机译：本文基于实验测试，提出了具有反应性的扩散食饵-捕食者模型。基于辅助引理和比较原理，研究了系统的极限界，猎物的灭绝和系统的持久性。给出的结果均适用于诸如Hassell-Varley常数σ= 1,1 / 2和1/3的现实情况。

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《IEEE 5th International Bio-Inspired Computing: Theories and Applications》|2010年|P.114-117|共4页
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Minling Zhong; Liu Xiuxiang;
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正文语种
中图分类理论、方法;
关键词
Diffusion; Functional response; Permanence; Predator-prey system;

机译：扩散;功能反应;持久性;捕食-被捕食系统;

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专利

1. Note on permanence and global stability in delayed ratio-dependent predator-prey models with monotonic functional responses [J] . Wang LL, Fan YH Journal of Computational and Applied Mathematics . 2010,第2期

机译：具有单调功能性反应的比率依赖的时滞捕食模型的持久性和全局稳定性的注意事项
2. Permanence in delayed ratio-dependent predator-prey models with monotonic functional responses [J] . Fan YH, Li WT Nonlinear analysis. Real world applications . 2007,第2期

机译：具有单调功能性反应的比率依赖的捕食者-捕食者模型的持久性
3. Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls [J] . Qin Yue Advances in Difference Equations . 2015,第1期

机译：具有Beddington-DeAngelis功能反应和反馈控制的改良Leslie-Gower捕食者-捕食者模型的永久性
4. Permanence for a predator-prey model with Schenk functional response [C] . Minling Zhong, Liu Xiuxiang International Conference on Bio-Inspired Computing: Theories and Applications . 2010

机译：使用Schenk功能反应的捕食者 - 猎物模型的持久性
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. Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response [O] . Wensheng Yang -1

机译：具有一般非线性功能反应的捕食者-食饵扩散模型的动力学行为。
7. Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls [O] . Qin Yue 2015

机译：具有Beddington-DeAngelis功能反应和反馈控制的改良Leslie-Gower捕食者-捕食者模型的永久性

Permanence for a predator-prey model with Schenk functional response

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