An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response

Li C.; Guo X.; He D.

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An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response

机译：具有Beddington-DeAngelis响应的三种种群中的脉冲扩散捕食-被捕食系统

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摘要

This paper is purported to investigate an impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response in a bounded domain with no flux boundary condition. Employing the upper and lower solution method and compare theory, we investigate the sufficient conditions of the upper ultimate boundedness and permanence of this system which imply that impulse always changes the situation of survival for species. The conditions for the existence of unique globally stable positive periodic solution are also obtained.

机译：本文旨在研究在无通量边界条件的有界域中具有Beddington-DeAngelis响应的三种种群中的脉冲扩散捕食者-食饵系统。利用上下解方法和比较理论，我们研究了该系统的上极限界和持久性的充分条件，这表明冲动总是会改变物种的生存状况。还获得了存在唯一全局稳定的正周期解的条件。

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《Journal of Applied Mathematics and Computing》 |2013年第2期|共14页
作者
Li C.; Guo X.; He D.;
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正文语种 eng
中图分类数学;
关键词
Periodic solution; Permanence;

机译：周期解;永久性;

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专利

1. An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response [J] . Li C., Guo X., He D. Journal of Applied Mathematics and Computing . 2013,第1a2期

机译：具有Beddington-DeAngelis响应的三种种群中的脉冲扩散捕食-被捕食系统
2. Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response [J] . YounghaeDo, HunkiBaek, DongseokKim Discrete dynamics in nature and society . 2012,第4期

机译：三种食物链系统的脉冲扰动与床堆 - Deangelis功能反应
3. Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems [J] . Ay?e Feza Güvenilir, Billur Kaymak?alan, Neslihan Nesliye Pelen Applied Mathematics . 2015,第9期

机译：具有离散和连续系统统一的Beddington-DeAngelis型功能响应的脉冲捕食者-食饵动态系统
4. Permanence of the Impulsive Predator-Prey System with Beddington-DeAngelis Functional Response [C] . Zhang Shao-lin International Conference on Information and Computing Science;ICIC '09 . 2009

机译：具有Beddington-DeAngelis功能响应的脉冲捕食-被捕食系统的持久性
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. The stability of a predator-prey system with linear mass-action functional response perturbed by white noise [O] . Qiumei Zhang, Xiangdan Wen, Daqing Jiang, -1

机译：具有线性质量作用功能反应的白噪声干扰的捕食系统的稳定性。
7. Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems [O] . Ayşe Feza Güvenilir, Billur Kaymakçalan, Neslihan Nesliye Pelen 2015

机译：具有嵌入式禁止的捕食者 - 猎物动态系统与离散和连续系统统一的功能响应

An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response

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