Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

Changjin Xu; Yusen Wu; Lin Lu

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Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

机译：具时滞的离散Lotka-Volterra捕食者－被捕食模型的持久性和全局吸引性

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In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using differential inequality theory. For the periodic case, sufficient conditions which guarantee the existence of a unique globally stable positive periodic solution are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions. MSC:34K20, 34C25, 92D25.

机译：在本文中，我们处理了具有时变时滞的离散Lotka-Volterra捕食者－食饵模型。对于一般的非自治情况，利用微分不等式理论获得了确保系统持久性和全局稳定性的充分条件。对于周期情况，建立了保证存在唯一全局稳定的正周期解的充分条件。本文以一些有趣的数值模拟结尾，这些数值模拟说明了我们的分析预测。 MSC：34K20、34C25、92D25。

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《Advances in Difference Equations》 |2014年第1期|共页
作者
Changjin Xu; Yusen Wu; Lin Lu;
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中图分类数学;
关键词
Lotka-Volterra predator-prey modelpermanenceglobal attractivitydelay;

机译：Lotka-Volterra捕食-被捕食模型持久性全球吸引力延迟;

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专利

1. Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays [J] . Changjin Xu, Yusen Wu, Lin Lu Advances in Difference Equations . 2014,第1期

机译：具时滞的离散Lotka-Volterra捕食者－被捕食模型的持久性和全局吸引性
2. Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems [J] . Chen FD Applied mathematics and computation . 2006,第1期

机译：离散的Lotka-Volterra竞争捕食者－猎物系统的持久性和全球吸引力
3. Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls [J] . Jiabo Xu, Zhidong Teng, Haijun Jiang Periodica Mathematica Hungarica . 2011,第1期

机译：具有延迟和反馈控制的离散非自治两种种群Lotka-Volterra竞争系统的持久性和全局吸引性
4. Profitless delays for permanence in a pure-delayed nonautonomous Lotka-Volterra competitive system with infinite delays and discrete delays [C] . Meng, Xinzhu, Cheng, . 2007

机译：具有无限延迟和离散延迟的纯延迟Lotka-Volterra竞争竞争系统的永久性无利润延迟
5. Nonlinear stochastic systems and controls: Lotka-Volterra type models, permanence and extinction, optimal harvesting strategies, and numerical methods for systems under partial observations [D] . Tran, Ky Quan. 2016

机译：非线性随机系统和控制：Lotka-Volterra类型模型，持久性和灭绝，最优收获策略以及部分观测下系统的数值方法
6. Oscillatory dynamics in a discrete predator-prey model with distributed delays [O] . Changjin Xu, Lilin Chen, Peiluan Li, -1

机译：具有分布时滞的捕食者-食饵离散模型的振动动力学。
7. Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays [O] . Changjin Xu, Yusen Wu, Lin Lu 2014

机译：具时滞的离散Lotka-Volterra捕食者-被捕食模型的持久性和全局吸引性

Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

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