| 一类带B—D反应项的捕食模型平衡解的局部分歧及稳定性 |
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| 引用本文： | 冯孝周,李艳玲.一类带B—D反应项的捕食模型平衡解的局部分歧及稳定性[J].西北师范大学学报,2007,43(1):8-12,98. |
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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,陕西西安710062 |
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| 基金项目： | 国家自然科学基金资助项目（10571115） |
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| 摘 要： | 利用局部分歧和稳定性理论，研究了一类带Beddington—DeAngelis反应项的捕食模型在Dirichlet边界条件下半平凡平衡解（θ，0）的局部分歧度其分歧解的稳定性，从而得到其正解存在的充分条件度穗定性结果．
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| 关 键 词： | 局部分歧 半平凡平衡解 稳定性 |
| 文章编号： | 1001-988X（2007）01-0008-05 |
| 修稿时间： | 2006-06-252006-10-23 |
Local bifurcation and stability of steady-state solutions of prey-predator model with B-D response |
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| FENG Xiao-zhou,LI Yan-ling.Local bifurcation and stability of steady-state solutions of prey-predator model with B-D response[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(1):8-12,98. |
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| Authors: | FENG Xiao-zhou LI Yan-ling |
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| Abstract: | By the local bifurcation theory and stability theory, the local bifurcation and stability of steadystate solutions in prey-predator model with Beddington-DeAngelis response and Dirichlet boundary conditions are studied. Furthermore, sufficient conditions for the existence of positive steady-state solutions and its stability are obtained. |
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| Keywords: | local bifurcation semi-trivial steady-state solutions stability |
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