| 带有交错扩散的捕食模型的非常数正解的存在性 |
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| 引用本文： | 任丽萍.带有交错扩散的捕食模型的非常数正解的存在性[J].广西师院学报,2008(3):30-35. |
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| 作者姓名： | 任丽萍 |
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| 作者单位： | 徐州建筑职业技术学院基础部,江苏徐州221008 |
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| 基金项目： | 徐州建筑学院基金项目（JYA3-18） |
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| 摘 要： | 研究了一类带交错扩散的捕食模型稳态问题非常数正解的存在性．证明了猎物的自扩散率较大或者交错扩散率较大的时候，强耦合系统至少存在一个非常数正解．
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| 关 键 词： | 交错扩散 Holling-Ⅲ型函数响应项 捕食模型 非常数正解 |
The Existence of Non- constant Positive Steady- state Solutions for a Prey- predator Model with Cross- diffusion |
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| REN Li-ping.The Existence of Non- constant Positive Steady- state Solutions for a Prey- predator Model with Cross- diffusion[J].Journal of Guangxi Teachers College(Natural Science Edition),2008(3):30-35. |
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| Authors: | REN Li-ping |
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| Institution: | REN Li-ping (Department of Public Courses, Xuzhou Vocational Institute of Architectural Technology, Xuzhou, Jiangsu 221008, China) |
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| Abstract: | This paper deals with the existence of non - constant positive steady - state solutions for the steady state problem of a predator - prey model with cross - diffusion. It is proved that the strongly coupled prey- predator system has at least one non - constant positive solution if the self - diffusion of predator or cross- diffusion is large enough. |
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| Keywords: | cross - diffusion Holling type Ⅲ functional response predator - prey model existence of non- constant positive solution |
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