POSITIVE PERIODIC SOLUTION FOR RATIO-DEPENDENT n-SPECIES DISCRETE TIME SYSTEM

Mei-Lan Tang; Xin-Ge Liu

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POSITIVE PERIODIC SOLUTION FOR RATIO-DEPENDENT n-SPECIES DISCRETE TIME SYSTEM

机译：比例依赖n-物种离散时间系统的正周期解

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In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the n - 1 competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive periodic solutions is established. The result obtained in this paper greatly improves the existing results.

机译：在本文中，获得了由非自治差分方程控制的连续时间比率相关的捕食者－食饵系统的离散模拟的周期解的先验估计，该方程由非自治差分方程控制，模拟了n-1个竞争猎物和一个食饵的动力学。具有不重叠世代的捕食者。基于更精确的先验估计和重合度的连续定理，建立了一个容易验证的正周期解存在性的充分判据。本文获得的结果大大改善了现有结果。

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来源
《Applications of Mathematics》 |2011年第6期|p.577-589|共13页
作者
Mei-Lan Tang; Xin-Ge Liu;
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作者单位

School of Math- ematical Science and Computing Technology, Central South University, Changsha, Hu-nan 410083, P.R.China;

School of Math- ematical Science and Computing Technology, Central South University, Changsha, Hu-nan 410083, P.R.China;

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原文格式 PDF
正文语种 eng
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关键词
ratio-dependent; predator-prey system; periodic solution; a priori estimate;

机译：比例依赖捕食者－被捕者系统;周期解先验估计;

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专利

1. Existence Of Positive Periodic Solution For Ratio-dependent N-species Difference System [J] . Xiaohua Ding, Chun Lu Applied Mathematical Modelling . 2009,第6期

机译：比率依赖与种的差分系统正周期解的存在性
2. Positive periodic solution for ratio-dependent $n$-species discrete time system [J] . Liu Xin-Ge, Tang Mei-Lan Applications of mathematics . 2011,第6期

机译：基于比率的$ n $物种离散时间系统的正周期解
3. Positive periodic solutions of discrete n-species food-chain systems [J] . Li YK, Lu LH Applied mathematics and computation . 2005,第1期

机译：离散n物种食物链系统的正周期解
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. Contributions to the solution of discrete-time invariant and periodic algebraic Riccati equations on multiprocessors. [D] . Mayo Gual, Rafael. 2001

机译：对多处理器上的离散时间不变和周期代数Riccati方程求解的贡献。
6. A Periodic Event-Triggered Design of Robust Filtering for T-S Fuzzy Discrete-Time Systems [O] . Zuchang Zhang, Dongliang Lin, Xingyi Wang, 2010

机译：T-S模糊离散系统的鲁棒滤波的周期事件触发设计
7. Positive periodic solution for ratio-dependent $n$-species discrete time system [O] . Tang, Mei-Lan, Liu, Xin-Ge 2011

机译：基于比率的$ n $物种离散时间系统的正周期解

POSITIVE PERIODIC SOLUTION FOR RATIO-DEPENDENT n-SPECIES DISCRETE TIME SYSTEM

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