| 一类具相互干扰的离散Leslie系统的持久性和稳定性 |
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| 引用本文： | 李林.一类具相互干扰的离散Leslie系统的持久性和稳定性[J].福建工程学院学报,2007,5(4):365-368. |
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| 作者姓名： | 李林 |
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| 作者单位： | 福建工程学院数理系,福建,福州,350014 |
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| 摘 要： | 利用差分方程比较原理探讨了周期情形下一类具有相互干扰的离散Leslie系统模型的持久性和周期正解的存在性,并对结果的数值模拟,充分显示了该结果的可行性和正确性.通过构造适当的Lyapunov函数,建立了保证该类具有相互干扰的离散Leslie系统周期正解的全局渐近稳定性的充分性条件.
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| 关 键 词： | 相互干扰 离散Leslie系统 持久性 Lyapunov函数 全局渐近稳定性 |
| 文章编号： | 1672-4348（2007）04-0365-04 |
| 修稿时间： | 2007-05-09 |
Permanence and stability for a discrete Leslie system with mutual interference |
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| Li Lin.Permanence and stability for a discrete Leslie system with mutual interference[J].Journal of Fujian University of Technology,2007,5(4):365-368. |
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| Authors: | Li Lin |
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| Institution: | Mathematics and Physics Department, Fujian University of Technology, Fuzhou 350014, China |
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| Abstract: | By using the comparison theorem of difference equation,the permanence and existence of positive periodic solution of a discrete Leslie system with mutual interference are probed.Numerical simulation shows the feasibility of the main results.By constructing suitable Lyapunov function,some sufficient conditions are obtained which guarantee the global asymptotical stability of periodic solutions of discrete Leslie system with mutual interference. |
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| Keywords: | mutual interference discrete Leslie system permanence Lyapunov function global asymptotical stability |
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