| 一类捕食-食饵模型平衡解的分歧 |
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| 引用本文： | 沈林,周红玲.一类捕食-食饵模型平衡解的分歧[J].洛阳工业高等专科学校学报,2010,20(1). |
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| 作者姓名： | 沈林 周红玲 |
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| 作者单位： | 黄淮学院数学科学系,河南,驻马店463000 |
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| 基金项目： | 河南省自然科学基金资助项目(092300410150) |
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| 摘 要： | 研究了一类特殊的捕食-食饵模型正解的分歧,给出了正解的先验估计及正常数解的稳定性,利用特征值和单特征值的局部分歧理论,证明了系统在半平凡解附近出现分支。
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| 关 键 词： | 捕食-食饵模型 分歧 平凡解 |
The Bifurcation of Equilibrium Solution to a Predator-prey Model |
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| SHEN Lin,ZHOU Hong-ling.The Bifurcation of Equilibrium Solution to a Predator-prey Model[J].Journal of Luoyang Technology College,2010,20(1). |
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| Authors: | SHEN Lin ZHOU Hong-ling |
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| Institution: | Department of Mathematic/a>;Huanghuai University/a>;Zhumadian 463000/a>;China |
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| Abstract: | The bifurcation of the positive solutions is discussed for a special predator-prey model.A priori estimate for positive solutions and the stability of the constant positive solution are established.By using the local bifurcation theory of eigenvalue and simple eigenvalue,the bifurcation from the semi-trivial solution is obtained. |
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| Keywords: | predator-prey system bifurcation trivial solution |
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