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带有交叉扩散项的Holling-typeⅡ捕食-食饵模型的共存 被引量：12

Stationary patterns for a prey-predator model with Holling type Ⅱ functional response and density-dependent diffusion term
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摘要 讨论了带有交叉扩散项的Holling-typeⅡ反应项的捕食-食饵模型在齐次Neumann边界条件下非常数正解的存在性.首先利用最大值原理、上下解方法和Harnack不等式对正解的上下界做了先验估计;其次在先验估计的基础上运用Leray-Schauder度理论证明非常数正解的存在性,并给出了正解存在的充分条件. A predator-prey model with Holling type Ⅱ functional response and Density-Dependent Diffusion Term under homogeneous Neumann boundary condition are discussed.First,by the maximum principle,the lower-upper solution method and Harnack inequality,a priori estimate for upper and lower bounds is discussed.Second,the sufficient conditions for the existence of steady-state solutions are obtained by the priori upper and lower bounds and Leray-Schauder degree theory.
作者 张岳 李艳玲
机构地区 陕西师范大学数学与信息科学学院
出处 《纺织高校基础科学学报》 CAS 2010年第4期439-444,共6页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(10971124) 教育部高等学校博士点专项基金项目(200807180004)
关键词 捕食-食饵模型 Holling-typeⅡ LERAY-SCHAUDER度理论 prey-predator density-dependent diffusion Holling type Ⅱ Leray-Schauder degree theory
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献21

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共引文献10

同被引文献101

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引证文献12

二级引证文献17

纺织高校基础科学学报
2010年 第4期

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