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| 一类非自治时滞半比率依赖捕食模型的正周期解的存在性 | |
| 引用本文： | 刘艳,秦丽华,樊小琳.一类非自治时滞半比率依赖捕食模型的正周期解的存在性[J].北华大学学报(自然科学版),2011,12(4):390-395. |
| 作者姓名： | 刘艳 秦丽华 樊小琳 |
| 作者单位： | 1. 新疆建设职业技术学院,新疆乌鲁木齐,830054 2. 昌吉学院,新疆昌吉,831100 3. 新疆工业高等专科学校,新疆乌鲁木齐,830091 |
| 基金项目： | 新疆工业高等专科学校校级课题研究项目 |
| 摘 要： | 运用微分不等式和比较原理,研究了一类非自治时滞半比率依赖捕食系统,得到了系统的持久性和正周期解的存在性条件,改进和推广了相关结果. |
| 关 键 词： | 比率依赖 持久性 正周期解 捕食系统 时滞 |
Existence of Positive Periodic Solution for a Class of Non-autonomous Semi-ratio-dependence Predator-prey System with Time Delay |
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| LIU Yan,QIN Li-hua,FAN Xiao-lin.Existence of Positive Periodic Solution for a Class of Non-autonomous Semi-ratio-dependence Predator-prey System with Time Delay[J].Journal of Beihua University(Natural Science),2011,12(4):390-395. | |
| Authors: | LIU Yan QIN Li-hua FAN Xiao-lin |
| Institution: | LIU Yan1,QIN Li-hua2,FAN Xiao-lin3(1.Xinjiang Vocation & Technical Construction College,Urumqi 830054,China,2.Changji University,Changji 831100,3.Xinjiang Ploytechnical College,Urumqi 830091,China) |
| Abstract: | By using the differential inequalities and comparison theorem,the existence of positive periodic solution for a class of non-autonomous semi-ratio-dependence predator-prey system with time delay is studied.The permanence and existence of positive periodic solution are given,the corresponding results are extended and improved. |
| Keywords: | ratio-dependence permanence positive periodic solution predator-prey system delay |
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