| 一类捕食模型正平衡解的整体分歧 |
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| 引用本文： | 李海侠,李艳玲. 一类捕食模型正平衡解的整体分歧[J]. 西北师范大学学报(自然科学版), 2006, 42(2): 8-12 |
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| 作者姓名： | 李海侠 李艳玲 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 摘 要： | 研究了一类捕食者-食饵模型的平衡态系统在第三边界条件下正解的存在性．利用局部分歧和整体分歧定理讨论了谊系统的整体分歧，最后得到了正解存在的充要条件．
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| 关 键 词： | 捕食者-食饵系统 主特征值 局部分歧 整体分歧 |
| 文章编号： | 1001-988X（2006）02-0008-05 |
| 收稿时间： | 2005-06-10 |
| 修稿时间： | 2005-06-102005-10-15 |
Bifurcation of positive steady-state solutions for a kind of predator-prey model |
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| LI Hai-xia,LI Yan-ling. Bifurcation of positive steady-state solutions for a kind of predator-prey model[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2006, 42(2): 8-12 |
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| Authors: | LI Hai-xia LI Yan-ling |
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| Abstract: | The existence of positive solutions of the steady-state system is studied for a kind of predatorprey model under the third boundary conditions. Global bifurcation for the system is discussed by means of local bifurcation theory and global bifurcation theory, and a sufficient and necessary condition of the existence of positive solutions is obtained. |
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| Keywords: | predator-prey system principal eigenvalue local bifurcation global bifurcation |
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