| 一类浮游生物捕食系统的全局分歧 |
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| 引用本文： | 李洁琼,李艳玲. 一类浮游生物捕食系统的全局分歧[J]. 计算机工程与应用, 2012, 48(36): 54-57,69 |
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| 作者姓名： | 李洁琼 李艳玲 |
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| 作者单位： | 陕西师范大学数学科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士点专项基金 |
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| 摘 要： | 主要研究一类在齐次第一边界条件下浮游植物和浮游动物的捕食-食饵模型。给出了平衡态方程解的先验估计。利用分歧理论,以b为分歧参数,得到平衡态系统正解的存在性,将局部分歧延拓为全局分歧。结果表明连通分支C延伸向无穷。
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| 关 键 词： | 捕食-食饵模型 上下解方法 全局分歧 |
Global bifurcation for predator-prey system on zooplankton |
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| LI Jieqiong , LI Yanling. Global bifurcation for predator-prey system on zooplankton[J]. Computer Engineering and Applications, 2012, 48(36): 54-57,69 |
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| Authors: | LI Jieqiong LI Yanling |
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| Affiliation: | College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China |
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| Abstract: | A prey-predator system on zooplankton is investigated under the Dirichlet boundary condition. The priori estimates of steady-state solutions are given. Based on treating b as the bifurcation parameter, the existence of positive steady-state solution is derived by the global bifurcation theory, and the local bifurcation is extended to global bifurcation. The continuum C joining up with infinity is proved. |
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| Keywords: | prey-predator upper-lower solution global bifurcation |
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