| 一类具有脉冲收获和投放的捕食系统的研究 |
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| 引用本文： | 贾建文,李春花.一类具有脉冲收获和投放的捕食系统的研究[J].数学的实践与认识,2009,39(13). |
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| 作者姓名： | 贾建文 李春花 |
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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： | 建立了一类具有Ivlev功能反应函数的捕食系统,引入二次脉冲对该系统中捕食者进行作用,讨论了系统的有界性,利用Floquet理论和小振幅扰动方法,得出了食饵灭绝的周期解的局部稳定性和该系统最终持久生存的条件.
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| 关 键 词： | 脉冲微分方程 Ivlev功能反应 二次脉冲 |
A Predator-prey System with Implusive Harvesting and Stocking |
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| JIA Jian-wen,LI Chun-hua.A Predator-prey System with Implusive Harvesting and Stocking[J].Mathematics in Practice and Theory,2009,39(13). |
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| Authors: | JIA Jian-wen LI Chun-hua |
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| Abstract: | We introduce a Ivlev predator-prey model with impulsive harvesting and stocking. By using Floquet theory,small amplitude perturbation method and comparison theory,we show that there exits an asymptotically stable prey-eradication periodic solution when the period is less than some threshold. Meanwhile,the condition for the permanence of the system is given. |
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| Keywords: | Implusive different equation Ivlev fuctional response Two times impulsive |
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