| 多时滞三种群捕食模型的持久性和全局渐近性 |
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| 引用本文： | 郑秀亮,韩振芳,徐永春.多时滞三种群捕食模型的持久性和全局渐近性[J].生物数学学报,2010(3):449-454. |
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| 作者姓名： | 郑秀亮 韩振芳 徐永春 |
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| 作者单位： | 河北北方学院理学院,河北张家口075000 |
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| 基金项目： | 河北省教育厅科学研究项目（Z2003316）; 河北北方学院2009年教学改革研究立项课题计划（JG200912） |
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| 摘 要： | 研究了一类多时滞非自治三种群捕食模型的持久性和全局渐近稳定性,分别利用比较原理和构造Lyapunov函数方法得到了模型持久生存与全局渐近稳定性的充分条件,并举例说明定理的可行性且利用Matlab绘出图像.
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| 关 键 词： | 捕食模型 Lyapunov函数 持久生存 全局渐近稳定性 |
Persistence And Global Stability Of The Three Species Predator-Prey Model With Multi-delay |
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| ZHENG Xiu-liang,HAN Zhen-fang,XU Yong-chun.Persistence And Global Stability Of The Three Species Predator-Prey Model With Multi-delay[J].Journal of Biomathematics,2010(3):449-454. |
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| Authors: | ZHENG Xiu-liang HAN Zhen-fang XU Yong-chun |
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| Institution: | (College of Science,Hebei North University,Zhangjiakou Hebei 075000 China) |
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| Abstract: | The Persistence and global stability of the nonautonomous three species predatorprey model with multi-delay is investigated,The sufficient conditions are obtained for the persistence of this model by using comparison theorem and the global asymtotic stability of the positive solution is derived by constructing Liapunov-type functions.Especially,theorems are realized by giving an example and picture is drawed by using software of matlab. |
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| Keywords: | Predator-prey model Liapunov function Persistence Global asymptotic stability |
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