| 具有时滞和基于比率的一类捕食者-食饵系统全局周期解的存在性 |
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| 引用本文： | 高建国. 具有时滞和基于比率的一类捕食者-食饵系统全局周期解的存在性[J]. 生物数学学报, 2005, 20(3): 315-320 |
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| 作者姓名： | 高建国 |
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| 作者单位： | 西北第二民族学院,信息与计算科学系,宁夏,银川,750021 |
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| 摘 要： | 利用重合度理论研究一类具有时滞和基于比率的捕食者-食饵系统的全局周期解的存在性,得到了周期正解存在的充分条件。
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| 关 键 词： | 捕食者-食饵系统 全局周期正解 时滞 比率依赖 Holling-Tanner系统 重合度 |
| 文章编号： | 1001-9626（2005）03-0315-06 |
| 收稿时间： | 2003-10-25 |
| 修稿时间： | 2003-10-25 |
Global Existence of Positive Periodic Solution of a Class Ratio-Dependent Predator-Prey System with Time Delays |
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| GAO Jian-guo. Global Existence of Positive Periodic Solution of a Class Ratio-Dependent Predator-Prey System with Time Delays[J]. Journal of Biomathematics, 2005, 20(3): 315-320 |
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| Authors: | GAO Jian-guo |
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| Abstract: | In this paper, we investigate the global existence of positive periodic solution of a class delayed ratio-dependent predator-prey system with deviating arguments by using the method of coincidence degree theory. Some sufficient conditions are obtained for the global existence of positive periodic solution. |
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| Keywords: | Predator-prey system Global positive periodic solution Time delay Ratio-dependent Holling-Tanner system Coincidence degree |
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