| 一类基于比率的且有收获率和时滞的捕食系统在时间尺度上的周期解 |
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| 引用本文： | 张林丽,肖莉,刘安平.一类基于比率的且有收获率和时滞的捕食系统在时间尺度上的周期解[J].海南师范大学学报(自然科学版),2014(4):382-385. |
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| 作者姓名： | 张林丽 肖莉 刘安平 |
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| 作者单位： | 1. 海口经济学院 公共课部,海南 海口,571127
2. 中国地质大学 数学与物理学院,湖北 武汉,430074 |
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| 基金项目： | 973项目(2011CB710604)；海南省自然科学基金项目(112006，112007)；海南省教育厅高等学校科学研究项目 |
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| 摘 要： | 研究一类基于比率且具有收获和时滞的两种群捕食者—食饵周期系统,利用重合度理论中的延拓定理建立了这类系统在时间尺度上正周期解存在的一个充分性判据,推广了已知的相关结论.
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| 关 键 词： | 时滞 收获率 重合度 时间尺度 周期解 |
Periodic Solutions of a Ratio-dependent Predator-prey System with Harvesting and Time-varying Delays on Time Scales |
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| ZHANG Linli,XIAO Li,LIU Anping.Periodic Solutions of a Ratio-dependent Predator-prey System with Harvesting and Time-varying Delays on Time Scales[J].Journal of Hainan Normal University:Natural Science,2014(4):382-385. |
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| Authors: | ZHANG Linli XIAO Li LIU Anping |
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| Institution: | ZHANG Linli, XIAO Li, LIU Anping ( 1. Department of Public Course, Haikou College of Economics, Haikou 571127, China; 2. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China) |
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| Abstract: | A class of two-species ratio-dependent predator-prey system with harvesting and time-varying delays is studied. By using the Prolongation theorem of coincidence degree theory, the existence result of positive periodic solution on time scales is established and a solid basis to prove the solution is obtained,which improves some known relevant results. |
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| Keywords: | time-varying delays harvesting coincidence degree time scales periodic solution |
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