| 食饵具有周期强迫的捕食模型 |
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| 引用本文： | 贾建文,于洪秀.食饵具有周期强迫的捕食模型[J].生物数学学报,2010(4):623-632. |
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| 作者姓名： | 贾建文 于洪秀 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西临汾041004 |
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| 摘 要： | 建立并研究了一类具有周期强迫和脉冲扰动的捕食模型,通过理论分析和数值模拟,得到了食饵灭绝周期解全局渐近稳定和系统持久的充分条件,利用分支理论证明了边界周期解附近会分支出正周期解.
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| 关 键 词： | 捕食模型 持续性 周期解 稳定性 全局吸引性 |
The Predator-Prey Model with Periodic Force in Prey |
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| JIA Jian-wen,YU Hong-xiu.The Predator-Prey Model with Periodic Force in Prey[J].Journal of Biomathematics,2010(4):623-632. |
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| Authors: | JIA Jian-wen YU Hong-xiu |
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| Institution: | (School of Mathematics and Computer Science,Shanxi Normal University,Linfen Shanxi 041004 China) |
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| Abstract: | In this paper,we study a predator-prey model with periodic force in prey and impulsive disturbance on predator.By theoretical analysis and numerical simulation,The conditions of permance for the system and the existence and stability of prey-eradication periodic solution for the system are given.Furthermore by ues of bifurcation theory,we obtain that the positive peroidic solution near prey-eradication periodic solution. |
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| Keywords: | Predator-prey model Permance Periodic Solution Stability Attractivity |
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