| 带有两食饵趋向的捕食模型古典解的全局存在性 |
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| 引用本文： | 李成林.带有两食饵趋向的捕食模型古典解的全局存在性[J].保山学院学报,2011(5):64-67. |
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| 作者姓名： | 李成林 |
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| 作者单位： | 保山学院数学学院 |
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| 基金项目： | 云南省教育厅科学研究基金(项目编号:2011Y072) |
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| 摘 要： | 考察了在留曼边界条件下带有两捕食趋向和Holing-II型反应函数的三种群模型。应用抛物方程Shauder估计及Lp估计,证明了此模型存在唯一全局古典解。
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| 关 键 词： | 古典解 Shauder估计 Lp估计 |
Global existence of classical solutions to the three species system with two-prey-taxes |
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| Li Chenglin.Global existence of classical solutions to the three species system with two-prey-taxes[J].Journal of Baoshan Teachers College,2011(5):64-67. |
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| Authors: | Li Chenglin |
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| Institution: | (School of Mathematics,BaoShan college,Baoshan,Yunnan,678000) |
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| Abstract: | This paper deals with the three species including two-prey-taxes and Holling type-II functional response under no flux boundary condition.The central point of this system is that the spatial-temporal variations of the predators’ velocity are directed by the preys’ gradient.By applying the contraction mapping principle,the parabolic Schauder estimates and parabolic Lp estimates,we prove that there exists a unique global classical solution of this system. |
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| Keywords: | Classical solutions A fixed point theory Schauder estimates Lp estimates |
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