| 一类带Holling和Leslie types反应项的捕食系统的分歧解 |
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| 引用本文： | 冯孝周,李艳玲.一类带Holling和Leslie types反应项的捕食系统的分歧解[J].山东大学学报(理学版),2009,44(6):79-84. |
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| 作者姓名： | 冯孝周 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;西安工业大学数理系; |
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| 基金项目： | 国家自然科学基金资助项目(10571115,10726042);;西安工业大学校长基金资助项目(XAGDXJJ0830) |
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| 摘 要： | 研究了一类带Holling和Leslie型反应项的捕食系统在Dirichlet边界条件下的平衡态局部分歧解与全局分歧解,给出了局部分歧解存在的充分条件和稳定性,得到了该系统平衡态的全局分歧解及其走向。
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| 关 键 词： | 捕食系统 平衡态 稳定性 分歧 |
| 收稿时间： | 2008-09-11 |
Bifurcation solutions of a prey-predator model with Holling and Leslie response |
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| FENG Xiao-zhou,LI Yan-ling.Bifurcation solutions of a prey-predator model with Holling and Leslie response[J].Journal of Shandong University,2009,44(6):79-84. |
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| Authors: | FENG Xiao-zhou LI Yan-ling |
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| Institution: | 1.College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;Shaanxi;China;2.Department of Mathematics and Physics;Xi'an Technological University;Xi'an 710032;China |
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| Abstract: | The local bifurcation and it's stability,the global bifurcation and it's jumps of global bifurcation solutions of steady-states in a prey-predator system with Holling and Leslie response and Dirichlet boundary conditions are investigated.The sufficient conditions for existence of bifurcating solutions of the prey-predator system and its jump are obtained. |
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| Keywords: | prey-predator system steady-state stability bifurcation |
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