| 具有饱和与竞争项的捕食系统的全局分歧及稳定性 |
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| 引用本文： | 冯孝周,吴建华.具有饱和与竞争项的捕食系统的全局分歧及稳定性[J].系统科学与数学,2010,30(7):979-989. |
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| 作者姓名： | 冯孝周 吴建华 |
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| 作者单位： | 1. 西安工业大学数理系,西安,710032
2. 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅科学计划项目，西安工业大学校长基金 |
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| 摘 要： | 利用比较原理,分歧理论,特征值线性扰动理论,主要研究了一类具有饱和与竞争反应项的捕食-食饵系统在Dirichlet边界条件下的平衡态分歧解.首先给出了一个先验估计和局部分歧解存在的充分条件.然后对局部分歧解进行了全局延拓,得到了该系统平衡态的全局分歧解及其走向.最后讨论了局部分歧解的稳定性.
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| 关 键 词： | 捕食-食饵系统 分歧解 稳定性. |
| 收稿时间： | 2008-9-22 |
GLOBAL BIFURCATION AND STABILITY FOR PREY-PREDATOR MODEL WITH PREDATOR SATURATION AND COMPETITION |
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| FENG Xiaozhou,WU Jianhua.GLOBAL BIFURCATION AND STABILITY FOR PREY-PREDATOR MODEL WITH PREDATOR SATURATION AND COMPETITION[J].Journal of Systems Science and Mathematical Sciences,2010,30(7):979-989. |
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| Authors: | FENG Xiaozhou WU Jianhua |
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| Institution: | (1)Department of Mathematics and Physics, Xi'an Technological University, Xi'an 710032;(2)College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062 |
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| Abstract: | In this paper, by maximum principle, eigenvalue perturbation principle and bifurcation theory, the bifurcation solution for prey-predator system with predator saturation and competition under the homogeneous Dirichlet boundary condition is studied. The local bifurcation solution and its stability, the global bifurcation solution and its behaviour are obtained. |
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| Keywords: | Prey-predator system bifurcation solution stability |
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