| 修正的Leslie-Gower捕食者-食饵扩散模型解的整体性态 |
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| 引用本文： | 张丽娜,吴守妍.修正的Leslie-Gower捕食者-食饵扩散模型解的整体性态[J].山东大学学报(自然科学版),2014(1):86-91. |
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| 作者姓名： | 张丽娜 吴守妍 |
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| 作者单位： | 西北师范大学数学与统计学院,甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目（11061031）;西北师范大学青年教师科研能力提升计划资助项目（NWNU-LKQN-11-21） |
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| 摘 要： | 讨论带有一般扩散的修正的Leslie-Gower捕食者-食饵模型解的整体性态。发现仅带有一般扩散的系统与相应的常微分系统解的动力学行为相似。所以，一般扩散不能导致Turing不稳定现象发生。
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| 关 键 词： | Leslie-Gower捕食者-食饵模型 扩散 Turing不稳定 |
Global behavior of solutions for a modified Leslie-Gower predator-prey system with diffusion |
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| ZHANG Li-na,WU Shou-yan.Global behavior of solutions for a modified Leslie-Gower predator-prey system with diffusion[J].Journal of Shandong University(Natural Science Edition),2014(1):86-91. |
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| Authors: | ZHANG Li-na WU Shou-yan |
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| Affiliation: | (College of Mathematics and statistics, Northwest Normal University, Lanzhou 730070, Gansu, China) |
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| Abstract: | The global behavior of solutions for a modified Leslie-Gower predator-prey system with diffusion is dis- cussed. It is found that the dynamical behavior of the reaction-diffusion system is similar to that of the corresponding ordinary differential system. Therefore, Turing instability can not occur for this reaction-diffusion system. |
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| Keywords: | Leslie-Gower predator-prey model diffusion Turing instability |
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