| 具有时滞和基于比率的三种群扩散模型的全局稳定性 |
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| 引用本文： | 程荣福,赵明.具有时滞和基于比率的三种群扩散模型的全局稳定性[J].福州大学学报(自然科学版),2008,36(4):480-484. |
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| 作者姓名： | 程荣福 赵明 |
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| 作者单位： | 北华大学数学学院,吉林,吉林,132021 |
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| 摘 要： | 研究一类含有分布时滞和基于比率的三种群扩散模型,得到了系统一致持久和其周期系统存在唯一全局渐近稳定的正周期解的充分性条件.
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| 关 键 词： | 时滞 比率依赖 持久性 周期解 全局渐近稳定性 |
Global stability for three- species diffusive model with time delay and ratio- dependent |
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| CHENG Rong-fu,ZHAO Ming.Global stability for three- species diffusive model with time delay and ratio- dependent[J].Journal of Fuzhou University(Natural Science Edition),2008,36(4):480-484. |
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| Authors: | CHENG Rong-fu ZHAO Ming |
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| Institution: | (Mathematics College of Beihua University,Jilin,Jilin 132021,China) |
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| Abstract: | In this paper,a three-species diffusive model with distributive time delay and ratio-dependent is studied.It is proved that the system is uniformly persistent under appropriate conditions.Further,if the system is a periodic one,it can have a strictly positive periodic solution which is global asymptotic stable under appropriate conditions. |
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| Keywords: | delay ratio-dependent persistence periodic solution global asymptotic stability |
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