| 具三个年龄阶段的自食单种群系统的定性分析 |
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| 引用本文： | 邢铁军,杜明银,王生丽.具三个年龄阶段的自食单种群系统的定性分析[J].兰州铁道学院学报,2008,27(6). |
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| 作者姓名： | 邢铁军 杜明银 王生丽 |
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| 作者单位： | 兰州交通大学数理与软件工程学院，甘肃政法学院管理学院 |
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| 基金项目： | 兰州交通大学"青蓝"人才工程基金资助项目
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| 摘 要： | 讨论了两个具有三个年龄阶段的自食单种群模型,其中成年种群死亡率遵循logistic型.对于自治模型,得到了正平衡点全局渐进稳定的充分条件;在时滞模型中,得到了在一定条件下时滞将会改变系统正平衡点的稳定性,推广了已有结论.
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| 关 键 词： | 阶段结构 自食 时滞 Hopf分支 全局渐进稳定性 |
Qualitative Analysis of Single Species with Three Life Stages and Cannibalism |
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| XING Tie-jun,DU Ming-yin,WANG Sheng-li.Qualitative Analysis of Single Species with Three Life Stages and Cannibalism[J].Journal of Lanzhou Railway University,2008,27(6). |
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| Authors: | XING Tie-jun DU Ming-yin WANG Sheng-li |
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| Institution: | XING Tie-jun1,DU Ming-yin1,WANG Sheng-li2 |
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| Abstract: | In this paper,two single species models with three life stages and cannibalism are discussed and the mature species obey logistic death law.For the model without time delay,the sufficient conditions of the globe asymptotic stability of the positive equilibrium are obtained.Moreover,for the model with time delay,it is shown that time delay can change the stability of the positive equilibrium in some conditions. |
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| Keywords: | stage structure cannibalism time delay Hopf burfication global asymptotic stability |
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