| 一类三种群捕食者-食饵交错扩散模型整体解的存在性 |
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| 引用本文： | 闫莎.一类三种群捕食者-食饵交错扩散模型整体解的存在性[J].纯粹数学与应用数学,2011,27(2):225-235. |
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| 作者姓名： | 闫莎 |
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| 作者单位： | 安康学院数学系; |
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| 基金项目： | 国家自然科学基金(10871160); 甘肃省自然科学基金(096RJZA118) |
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| 摘 要： | 应用能量估计方法和Gagliardo-Nirenberg型不等式证明含一类食饵种群和两类竞争捕食者种群的反应扩散模型整体解的存在性和一致有界性,该模型是带自扩散和交错扩散项的三种群捕食者-食饵模型.
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| 关 键 词： | 捕食者-食饵 自扩散 交错扩散 整体存在性 |
Existence of global solutions for a three-species predator-prey model with cross-diffusion |
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| YAN Sha.Existence of global solutions for a three-species predator-prey model with cross-diffusion[J].Pure and Applied Mathematics,2011,27(2):225-235. |
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| Authors: | YAN Sha |
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| Institution: | YAN Sha(Department of Mathematics,Ankang University,Ankang 725000,China) |
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| Abstract: | Using the energy estimate and Gagliardo-Nirenberg-type inequalities,the existence and the uniform boundedness of global solutions for a reaction-diffusion system with one prey and two competing predators are proved,this system is the predator-prey model of three interacting species with self-and cross-diffusion. |
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| Keywords: | predator-prey self-diffusion cross-diffusion global existence |
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