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一类捕食-食饵模型非常数正解的存在性 被引量：1

The Existence of Non-constant Positive Solution of the Predator-prey Model
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摘要 运用分歧理论和度理论讨论了一类捕食-食饵模型在齐次Neumann边界条件下非常数正解的存在性,得到了系统在分歧点(d～2,～u)处存在非常数正解,即给出了正解的局部存在性条件。 The existence of non-constant positive solution of the predator-prey model with homogeneous Neumann boundary is discussed by the methods of bifurcation theory and degree theory.Some existence conditions for non-constant positive solution are given.
作者 权利娜 李艳玲
机构地区 陕西师范大学数学与信息科学学院 陕西教育学院
出处 《科学技术与工程》 2010年第28期6963-6966,6982,共5页 Science Technology and Engineering
基金 国家自然科学基金(10571115) 陕西省自然科学基础研究资助项目(2007A11)课题资助
关键词 捕食-食饵模型 非常数正平衡解 存在性 predator-prey model non-constant positive solution existence
分类号 O175.11 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献8

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共引文献4

同被引文献12

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  • 8Wu J H.Global bifurcation of coexistence state for the com- petition model in the chemostat[J].Nonlinear Anal,2000,39: 817-835.
  • 9李津,李艳玲.一类反应扩散方程组平衡解的局部分歧及稳定性[J].陕西师范大学学报（自然科学版）,2008,36(2):15-18. 被引量：4
  • 10权利娜,李艳玲.一类互惠模型平衡解的分歧与稳定[J].科学技术与工程,2010,10(3):625-629. 被引量：1

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科学技术与工程
2010年 第28期

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