| 具集群防御特性的Predator-prey系统的Hopf分支 |
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| 引用本文： | 刘平舟. 具集群防御特性的Predator-prey系统的Hopf分支[J]. 山西师范大学学报：自然科学版, 1992, 0(3) |
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| 作者姓名： | 刘平舟 |
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| 作者单位： | 山西师大数学系 |
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| 基金项目： | 本课题由山西师大自然科学基金资助 |
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| 摘 要： | 本文详细讨论了一类具集群防御特性的Predator-prey系统的奇点的稳定性质及其Hopf分支,并对一个著名的数学生态学悖论进行了讨论。文中结果对[2,4]的结论提出了质疑。
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| 关 键 词： | 集群防御 捕食系统 平衡点 Hopf分支 |
HOPF BIFURCATION IN THE PREDATOR-PREY SYSTEMS WITH GROUP DEFENCE |
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| Liu Pingzhou. HOPF BIFURCATION IN THE PREDATOR-PREY SYSTEMS WITH GROUP DEFENCE[J]. Journal of Shanxi Teachers University, 1992, 0(3) |
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| Authors: | Liu Pingzhou |
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| Affiliation: | Liu Pingzhou |
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| Abstract: | In this paper, a kind of predator-Prey system with group defence is consid- ered. By the analysis of stabilities of equalibrum and Hopf bifurcation, the paper give discus- sion of the paradox of enrichment and the conclusion of [2] and [4]. |
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| Keywords: | Group defence Prey-Precator systems Equilibrum Hopf bifurcation |
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