| 基于比率的广义Holling-Tanner系统的全局渐近稳定性 |
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| 引用本文： | 李维伟,胡宝安,苑学梅.基于比率的广义Holling-Tanner系统的全局渐近稳定性[J].数学研究,2011,44(3):309-312. |
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| 作者姓名： | 李维伟 胡宝安 苑学梅 |
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| 作者单位： | 军事交通学院基础部,天津,300161 |
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| 摘 要： | 本文对基于比率的广义Holling-Tanner系统进行了定性分析，给出了系统解有界的条件和平衡点局部稳定的条件．通过构造适当的Liapunov函数，得到了正平衡点全局渐近稳定性的充分条件．
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| 关 键 词： | 广义Holling-Tanner系统 比率依赖 全局渐近稳定 |
Global Asymptotic Stability for a Ratio-Dependent Generalized Holling-Tanner System |
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| Li Weiwei Hu Baoan Yuan Xuemei.Global Asymptotic Stability for a Ratio-Dependent Generalized Holling-Tanner System[J].Journal of Mathematical Study,2011,44(3):309-312. |
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| Authors: | Li Weiwei Hu Baoan Yuan Xuemei |
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| Institution: | Li Weiwei Hu Baoan Yuan Xuemei (General Courses Department,Academy of Military Transportation,Tianjin,300161) |
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| Abstract: | In this paper a ratio-dependent generalized Holling-Tanner system is discussed. It obtains the condition for the boundary of solution, and the condition for the local stability of the steady state. We get some conditions for global asymptotic stability of the positive steady state by means of constructing a Liapunov function. |
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| Keywords: | Generalized Holling-Tanner system Ratio-dependent Global asymptotic stability |
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