| 基于比率且包含食饵避难的Holling Tanner模型分析 |
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| 引用本文： | 侯强,靳祯.基于比率且包含食饵避难的Holling Tanner模型分析[J].山东大学学报(理学版),2009,44(3):56-60. |
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| 作者姓名： | 侯强 靳祯 |
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| 作者单位： | 中北大学数学系,山西,太原,030051
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| 摘 要： | 考虑了一个基于比率且包含食饵避难的Holling Tanner模型。分析了系统平衡点存在和局部渐近稳定性,并构造Lyapunov函数证明了正平衡点的全局渐近稳
定性。 利用分岔理论,发现系统在正平衡点经历了Hopf分岔,且出现了惟一的极限环。
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| 关 键 词： | Holling Tanner模型 局部渐近稳定 分岔 比率依赖 |
| 收稿时间： | 2008-09-10 |
Analysis of a Holling-Tanner model with ratio-dependence incorporating a prey refuge |
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| HOU Qiang,JIN Zhen.Analysis of a Holling-Tanner model with ratio-dependence incorporating a prey refuge[J].Journal of Shandong University,2009,44(3):56-60. |
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| Authors: | HOU Qiang JIN Zhen |
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| Institution: | Mathematics Department;North University of China;Taiyuan 030051;Shanxi;China |
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| Abstract: | A Holling-Tanner model with ratio-dependence incorporating a prey refuge was discussed.The existence and local asymptotic stability of the equilibria of the system were analyzed,and global asymptotic stability of the positive equilibrium was proved by constructing the Lyapunov function.By using bifurcation theory,it was shown that the system experiences Hopf bifurcation at positive equicibrium,and the uniqueness of the limit cycle of the system was found. |
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| Keywords: | Holling-Tanner model local asymptotic stability bifurcation ratio-dependent |
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