| 一类具有时滞和收获的阶段结构的捕食系统 |
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| 引用本文： | 高巧琴,雒志江. 一类具有时滞和收获的阶段结构的捕食系统[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 17-21,41 |
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| 作者姓名： | 高巧琴 雒志江 |
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| 作者单位： | 吕梁学院数学系 |
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| 基金项目： | 山西省教育厅教学改革项目(J2011101,J2009370,J2012111);吕梁学院校内基金项目(ZRXN201205);吕梁学院青年基金项目(ZRQN201204) |
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| 摘 要： | 研究一类具有时滞和收获的非自治阶段结构的捕食与被捕食系统，其中食饵种群分两个阶段——幼年与成年．利用重合度理论中的延拓定理，当收获现象发生时，得到系统至少存在8个正周期解的充分条件．
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| 关 键 词： | 阶段结构 时滞 收获 重合度 周期解 |
A Stage-Structured Predator-Prey System with Time Delays and Harvesting |
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| Gao Qiaoqin Luo Zhijiang. A Stage-Structured Predator-Prey System with Time Delays and Harvesting[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 17-21,41 |
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| Authors: | Gao Qiaoqin Luo Zhijiang |
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| Affiliation: | Gao Qiaoqin Luo Zhijiang(Department of Mathematics,Luliang University,Lishi 033000,China) |
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| Abstract: | A predator-prey system was studied that has a discrete delay stage-structure and harvesting term,where prey species has two stages,an immature stage and a mature stage. By means of the continuous theorem of coincidence degree theory,a sufficient condition is obtained for the existence of eight positive periodic solution of the system when harvesting term occurs. |
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| Keywords: | stage-structure delay harvesting term coincidence degree＇multiple periodic solution |
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